Help me solve this please and thanks!

Help Me Solve This Please And Thanks!

Answers

Answer 1

Answer:

9 x 9 x 9

Step-by-step explanation:

its obvious


Related Questions

Problem 83 please help me

Answers

The rule for the nth term of the geometric sequence is given as follows:

[tex]a_n = 2^n[/tex]

Hence the 10th term of the sequence is given as follows:

1024.

What is a geometric sequence?

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

[tex]a_n = a_0q^{n}[/tex]

In which [tex]a_0[/tex] is the first term.

The parameters in this problem are given as follows:

First term of 1.Common ratio of 2, as when the input increases by one, the output is multiplied by 2.

Hence the rule is given as follows:

[tex]a_n = 2^n[/tex]

Hence the 10th term of the sequence is given as follows:

2^10 = 1024.

More can be learned about geometric sequences at https://brainly.com/question/24643676

#SPJ1

If the daily windows of the last 4 are 1000,1200,1300 and 2000,
it can be concluded that the average sales for that period was:
A) 5,500
B) 1,375
C) 1,200
D) not sufficient information

Answers

The average sales for that period is 1375.

The average, also known as the mean, is a statistical measure that represents the central tendency of a set of values. It is calculated by summing up all the values in a dataset and dividing the sum by the total number of values.

Mathematically, the average (mean) is calculated as:

Average = (Sum of all values) / (Total number of values)

To calculate the average sales for the given period, you'll need to follow these steps:

1. Add up the daily sales figures: 1000 + 1200 + 1300 + 2000 = 5500

2. Count the number of days in the period: 4 days

3. Divide the total sales by the number of days to find the average: 5500 / 4 = 1375

So, the average sales for that period is 1375.

Therefore, the correct answer is: B) 1,375

Learn more about average,

https://brainly.com/question/20118982

#SPJ11

The product if a and b is negative. Decide if each statement about a and b is true or false. Choose true or false for each statement. ​

Answers

Answer: a. true

b. true

c. false

d. true

Step-by-step explanation:

A number cube is tossed 60 times.


Outcome Frequency
1 12
2 13
3 11
4 6
5 10
6 8

Determine the experimental probability of landing on a number greater than 4.
17 over 60
18 over 60
24 over 60
42 over 60

Answers

The experimental probability of rolling a number greater than 4 is 18/60

How to determine the experimental probability?

It will be given by the number of times that the outcome was greater than 4 (so a 5 or a 6) over the total number of trials.

We can see that the total number of trials is 60, and we have:

The outcome 5 a total of 10 times.The outomce 6 a total of 8 times.

Adding that: 10 + 8 = 18

Then the experimental probability of a number greater than 4 is:

E = 18/60

Learn more about probability at:

https://brainly.com/question/25870256

#SPJ1

What is the rule for the transformation formed by the translation 8 units rght and 5 units down followed by a 180 degree rotation

Answers

The translating point will be (x, y) --> (8-x, -5-y).

We have to translate a point 8 units right and 5 units down followed by a 180 degree rotation.

Now, the rule for 180 rotation is

(x, y)  --> (x, -y)

and, to shift 8 unit right apply (8-x)

and, to shift 5 unit down apply (5-y)

Then, the translating point will be (x, y) --> (8-x, -5-y).

Learn more about Translation here:

https://brainly.com/question/12463306

#SPJ1

an integral equation is an equation that contains an unknown function y(x) and an integral that involves y(x). solve the given integral equation. [hint: use an initial condition obtained from the integral equation.] y(x) = 2 + x [t − ty(t)] dt 8

Answers

The solution to the integral equation y(x) = 2 + x [t − ty(t)] dt is: y(x) = 1 + e⁻ˣ

Note that this solution satisfies the initial condition y(0) = 2.

To solve the given integral equation y(x) = 2 + x [t − ty(t)] dt, we need to first find the value of y(x) that satisfies this equation. We can obtain an initial condition for y(x) by setting x=0 in the equation and solving for y(0). Then, we can use a method such as separation of variables or substitution to find the general solution for y(x).

Let's start by finding the initial condition for y(x). Setting x=0 in the integral equation, we get:

y(0) = 2 + 0 [t − t y(t)] dt

y(0) = 2

So, we know that y(0) = 2. This will be useful when we find the general solution for y(x).

Now, let's use substitution to solve the integral equation. Let u = y(x), du/dx = y'(x), and v = t - y(t). Then, we have:

y(x) = 2 + x [t − ty(t)] dt

u = 2 + x [v] dt

du/dx = v + x dv/dx

Substituting du/dx and v in terms of u and x, we get:

v = t - u

du/dx = t - u + x (dv/dx)

du/dx + u = t + x (dv/dx)

We can use the integrating factor method to solve this first-order linear differential equation. The integrating factor is eˣ, so we have:

eˣ du/dx + eˣ u = teˣ + x eˣ (dv/dx)

(d/dx)(eˣ u) = (teˣ)' = eˣ

eˣ u = eˣ + C

u = 1 + Ce⁻ˣ

Substituting u = y(x) and using the initial condition y(0) = 2, we get:

y(x) = 1 + Ce⁻ˣ (general solution)

y(0) = 2 = 1 + C (using initial condition)

C = 1

Therefore, the solution to the integral equation y(x) = 2 + x [t − ty(t)] dt is:

y(x) = 1 + e⁻ˣ

Note that this solution satisfies the initial condition y(0) = 2.

To learn more about integral equation here:

brainly.com/question/15263893#

#SPJ11

Nearpod
Bolin is taking classes to learn tai chi, a Chinese martial art. The constant of
proportionality between the cost of the classes and the number of classes is 16. What is
the unit rate, in dollars per class, for Bolin's tai chi classes? Use the drop-down menus to
explain your answer.
Click the arrows to choose an answer from each menu.
The constant of proportionality Choose...
relationship. The unit rate for Bolin's tai chi classes is Choose...
Y
equal to the unit rate in a proportional

Answers

The constant of proportionality is equal to the unit rate in a proportional relationship. The unit rate for Bolin's tai chi classes is 16.

What is a proportional relationship?

In Mathematics and Geometry, a proportional relationship refers to a type of relationship that produces equivalent ratios or unit rates, and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

y represents the number of classes​.x represents the cost of the classes.k is the constant of proportionality.

What is the unit rate?

In Mathematics, the unit rate is sometimes referred to as unit price or unit ratio and it can be defined as the price that is being charged by a seller for the sale of a single unit of product or quantity, especially in a proportional relationship:

Constant of proportionality, k = y/x

Constant of proportionality, k = 16.

Read more on proportional relationship here: brainly.com/question/28350476

#SPJ1

Which of the following modifications to a research study will result in a narrower confidence interval?Group of answer choicesA) increasing the confidence level, decreasing the sample sizeB) increasing the confidence level, increasing the sample sizeC) decreasing the confidence level, decreasing the sample sizeD) decreasing the confidence level, increasing the sample size

Answers

The modification to a research study that will result in a narrower confidence interval is option D is correct choice

The modification to a research study that will result in a narrower confidence interval is option D: decreasing the confidence level and increasing the sample size. By decreasing the confidence level, we are willing to accept a lower level of certainty in our results, which can lead to a narrower interval. Increasing the sample size also leads to a narrower interval as it reduces the variability in our data and increases the precision of our estimates.

learn more about confidence interval

https://brainly.com/question/24131141

#SPJ11

Haematuria + frequency + dysuria what is the diagnosis and investigations?

Answers

The symptoms of hematuria (blood in urine), frequency (urinating more often than usual), and dysuria (painful urination) can be indicative of a urinary tract infection (UTI) or other conditions such as kidney stones, bladder cancer, or prostate problems.

To make a diagnosis, a healthcare provider may perform a physical exam, ask about the patient's medical history, and order diagnostic tests such as a urinalysis, urine culture, blood tests, or imaging studies (e.g. ultrasound, CT scan) to determine the underlying cause of the symptoms.

Treatment will depend on the underlying cause of the symptoms, but may include antibiotics for a UTI, pain medication, or other interventions as needed. It is important to seek medical attention promptly if you experience these symptoms to ensure that you receive appropriate treatment.

Pls help!!
Geometry
(Look at photo)

Answers

The value of x is determined as 1.

What is the value of x?

The value of x is calculated by applying the principle of similar triangles.

length SR ≅ length ST

length TU ≅ length RU

We will have the following equation, to solve for the value of x;

TU/SU = RU/SU

TU = RU

x + 9 = 10x

9 = 10x - x

9 = 9x

9/9 = xy

1 = x

Thus, the value of x is calculated by applying the principle of similar triangle.

Learn more about similar triangles here: https://brainly.com/question/27996834

#SPJ1

may someone help please math is hard!!

Answers

Answer:

11

Step-by-step explanation:

Volume of right cone = (1/3) · π · r² · h

V = 968π

h = 24 units

Let's solve

968π = (1/3) · π · r² · 24

2904π =  π · r² · 24

121π = π · r²

121 = r²

r = 11

So, the radius is 11 units

Suppose a normal distribution has a mean of 34 and a standard deviation of
2. What is the probability that a data value is between 30 and 36? Round your
answer to the nearest tenth of a percent.
OA. 83.9%
OB. 81.9%
OC. 84.9%
O D. 82.9%

Answers

The probability that a data value is between 60 and 36 is 95.44%.

We have,

Mean = 34

Standard deviation = 2

So, P( 30 < x < 36)

= P (30 - 34/2) - P(36-34/2)

= P(-2) - P(2)

=  0.9772498 -0.0227501

= 0.9544

= 95.44%

Learn more about Normal distribution here:

https://brainly.com/question/25845032

#SPJ1

At your local store, you are given a coupon for 20% off any store item purchased on Monday. When you return to your store, you notice that an item (normal price = $50) is on clearance for 40% off. You are allowed to use the coupon on the clearance item. How much should you pay for the item? Should it be 60% off of the normal price? Explain why or why not, justify your reason quantitatively.

Answers

The 40% clearance discount is already factored into the clearance price of $30, so applying the 20% coupon only reduces the price further by 20% of $30, or $6. Therefore, you would pay $24 for the item with both discounts applied.

Let's break down the discounts and calculate the final price of the item using the terms "normal", "price", and "quantitatively".
The normal price of the item: $50

First, apply the 40% clearance discount:
40% off the normal price = 0.4 * $50 = $20

Subtract the clearance discount from the normal price:
New discounted price = $50 - $20 = $30

Now, apply the 20% off coupon to the discounted price:
20% off the new discounted price = 0.2 * $30 = $6

Quantitatively, the calculation would be:
Normal price = $50
Clearance price (40% off) = $30
Coupon discount (20% off clearance price) = 0.20 x $30 = $6
Final price = $30 - $6 = $24

Subtract the coupon discount from the discounted price:
Final price = $30 - $6 = $24

So, you should pay $24 for the item. It is not the same as taking 60% off the normal price because the discounts are applied sequentially, not combined. Quantitatively, you can see that taking 60% off the normal price would result in a $30 discount ($50 * 0.6), while the actual total discount here is $26 ($20 + $6).

Learn more about Discount:

brainly.com/question/3541148

#SPJ11

Assume that blood pressure readings are normally distributed with a mean of 11 and a standard deviation of 4.7. If 35 people are randomly selected, find the probability that their mean blood pressure will be less than 122.
A. 0.0059
B. 0.9941
C. 0.8219
D. 0.6648

Answers

I think D 8373737373774747,$,!.$/72))37;7;

The answer is not one of the choices provided.

The distribution of sample means follows a normal distribution with a mean equal to the population mean (11) and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

So, for a sample size of 35, the distribution of sample means is normal with a mean of 11 and a standard deviation of 4.7/sqrt(35) = 0.795.

We need to find the probability that the mean blood pressure of the 35 people will be less than 122. We can standardize the distribution of sample means to a standard normal distribution with mean 0 and standard deviation 1 using the z-score formula:

z = (x - mu) / (sigma / sqrt(n))

where x is the sample mean, mu is the population mean, sigma is the population standard deviation, and n is the sample size.

Substituting the given values, we get:

z = (122 - 11) / (4.7 / sqrt(35)) = 37.98

We can then use a standard normal distribution table or calculator to find the probability of z being less than 37.98. Since the standard normal distribution is symmetric, we can also find this probability as 1 minus the probability of z being greater than 37.98.

Using a standard normal distribution table or calculator, we get:

P(z < 37.98) = 1 (to a very high degree of precision)

Therefore, the probability that the mean blood pressure of 35 people will be less than 122 is essentially 1, or 100%. The answer is not one of the choices provided.

To learn more about standardize visit:

https://brainly.com/question/30054101

#SPJ11

There are 6 bands playing in a battle of the bands. 4 of the bands have a female lead vocalist. What is the ratio of
bands that have a female lead vocalist to bands competing?

Answers

The ratio of bands that have a female lead vocalist to bands competing can be calculated as follows:

Number of bands with female lead vocalist = 4
Total number of bands competing = 6

Therefore, the ratio of bands that have a female lead vocalist to bands competing is:

4/6

This can be simplified by dividing both numerator and denominator by 2:

2/3

Therefore, the ratio of bands that have a female lead vocalist to bands competing is 2:3.

What is the rule for the transformation formed by the translation 8 unitys right and 5 units down followed by a 180 degree rotation

Answers

The rule for the composed transformation formed by the translation 8 units right and 5 units down followed by a 180 degree rotation is (x, y) --> (8-x, -5-y)

The rule for the transformation formed by the translation 8 units right and 5 units down followed by a 180-degree rotation can be determined by considering the effect of each transformation separately and then composing them.

First, let's consider the effect of the translation. A translation moves every point in the plane a certain distance in a certain direction. In this case, we are translating 8 units to the right and 5 units down. So, if we have a point (x, y), the translated point will be (x+8, y-5).

Next, let's consider the effect of the 180-degree rotation. A rotation of 180 degrees flips a figure around a line of symmetry, which in this case would be the point where the horizontal line passing through the midpoint of the translation intersects the vertical line passing through the midpoint of the translation. This point is (4, -2.5).

Thus, if we start with a point (x, y), the effect of the translation is to move it to (x+8, y-5), and the effect of the rotation is to flip it around the point (4, -2.5). Therefore, the rule for the composed transformation is:

(x, y) --> (x+8, y-5) --> (8-x, -5-y)

In other words, to apply this transformation to a point, we first translate it 8 units right and 5 units down, and then we reflect it across the point (4, -2.5).

To learn more about transformation click on,

https://brainly.com/question/31630058

#SPJ1

Complete question is:

What is the rule for the transformation formed by the translation 8 unitys right and 5 units down followed by a 180 degree rotation , assuming the initial point as (x,y)?

Find the area of polygon A
A: 4
B: 160
C: 80
D: 20

Answers

The correct answer is C

Cases of UFO sightings are randomly selected and categorized according to season, with the results listed in the table. Use a 0.05 significance level to test a claim that UFO sightings occur in different seasons with the proportions listed in the table. Find the test statistic x² needed to test the claim.

A.11.472
B.11.562
C.2,212.556
D.7.815

Answers

Answer: D.

Step-by-step explanation:

Using a 0.05 significance level to test a claim that UFO sightings occur in different seasons with the proportions listed in the table the test statistic x² needed to test the claim is 11.562. The correct option is B.

To test the claim that UFO sightings occur in different seasons with the proportions listed in the table, we can use a chi-square goodness-of-fit test.

The null hypothesis is that the observed frequencies in each season are equal to the expected frequencies based on the proportions listed in the table.

The expected frequency for each season can be calculated by multiplying the total number of sightings by the proportion listed in the table. For example, the expected frequency for spring is:

Expected frequency for spring = Total number of sightings × Proportion for spring

= 420 × 0.25

= 105

Similarly, the expected frequencies for summer, fall, and winter are 126, 210, and 105, respectively.

The chi-square test statistic can be calculated as:

χ² = ∑ [(O - E)² / E]

where O is the observed frequency and E is the expected frequency.

Using the observed frequencies from the table and the expected frequencies calculated above, we get:

χ² = [(150-105)²/105] + [(120-126)²/126] + [(100-210)²/210] + [(50-105)²/105]

   = 11.562

The degrees of freedom for the chi-square test is (number of categories - 1), which in this case is 4 - 1 = 3.

Using a chi-square distribution table with 3 degrees of freedom and a significance level of 0.05, the critical value is 7.815.

Since the calculated chi-square value (11.562) is greater than the critical value (7.815), we reject the null hypothesis and conclude that there is evidence of a difference in UFO sightings across seasons. Therefore, the test statistic x² needed to test the claim is 11.562.

The correct answer is (B) 11.562.

For more details regarding test statistic, visit:

https://brainly.com/question/14128303

#SPJ1

FInd the surface area.

Answers

Answer:

77 cm^2

Step-by-step explanation:

rectangular prism or cuboid

Right rectangular prism Solve for surface area▾

A = 77

L = 2

w = 3

h = 6.5

A=2(wl+hl+hw) = 2.(3.2+6.5.2+6.5.3)=77

chegg

Check My Work
The symbol ∪ indicates the _____.
a. sum of the probabilities of events
b. intersection of events
c. sample space
d. union of events

Answers

The symbol ∪ represents the "union of events" in the context of probability and set theory.

The symbol ∪ indicates the union of events. This option corresponds to choice (d) in your given list. The union of events refers to the occurrence of at least one of the events in question. In other words, it combines the outcomes of two or more events into a single set, without any repetitions. This concept is essential in understanding probability theory, as it helps to analyze the likelihood of different events happening together or separately.

This means that it represents the set of all outcomes that belong to either one or both of the events being considered. For example, if event A represents rolling an even number on a die and event B represents rolling a number greater than 4, then the union of events A and B would be the set of outcomes {2, 4, 5, 6}. It is important to note that the union of events is different from the intersection of events, which represents the set of outcomes that belong to both events being considered. The sample space, on the other hand, represents the set of all possible outcomes of an experiment. Finally, the symbol ∑ represents the sum of probabilities of events, not the symbol ∪.

To learn more about probability, click here:

brainly.com/question/30034780

#SPJ11

In circle I I J = 9 and the area of shaded sector = 36π. Find m ∠JIK.

Answers

The measure of the central angle m ∠JIK is 160°.

Given that the circle I, in which IJ is the radius of 9 units, the area of shaded sector = 36π, we need to find the m ∠JIK, the central angle.

Area of the sector = central angle / 360° × π × radius²

∴ 36π = m ∠JIK / 360° × π × 9²

m ∠JIK = 360° × 4 / 9

m ∠JIK = 160°

Hence, the measure of the central angle m ∠JIK is 160°.

Learn more about central angles, click;

https://brainly.com/question/15698342

#SPJ1

A potato chip manufacturer produces bags of potato chips that are supposed to have a net weight of 326 grams. Because the chips vary in size, it is difficult to fill the bags to the exact weight desired. However, the bags pass inspection so long as the standard deviation of their weights is no more than 4 grams. A quality control inspector wished to test the claim that one batch of bags has a standard deviation of more than 4 grams, and thus does not pass inspection. If a sample of 27 bags of potato chips is taken and the standard deviation is found to be 5.3 grams, does this evidence, at the 0.05 level of significance, support the claim that the bags should fail inspection? Assume that the weights of the bags of potato chips are normally distributed.
Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.

Answers

The evidence at the 0.05 level of significance contradict claim that the bags should fail inspection.


We can use a one-tailed test with the null hypothesis that the standard deviation of the bags' weights is no more than 4 grams and the alternative hypothesis that the standard deviation is greater than 4 grams.

The test statistic for this hypothesis test is given by:
t = [tex]\frac{\frac{s}{\sqrt{n}}}{\frac{sigma}{\sqrt{n}}}[/tex]
where s is the sample standard deviation, n is the sample size, and sigma is the population standard deviation (which is assumed to be 4 grams).

Plugging in the given values, we get:
t = [tex]\frac{\frac{5.3}{\sqrt{27}}}{\frac{4}{\sqrt{ 27}}}[/tex] ≈ 1.325
Using a t-distribution table with 26 degrees of freedom (since we have a sample size of 27 and are estimating the population standard deviation), we can find the critical value for a one-tailed test at the 0.05 level of significance. The critical value is 1.705.

Since our calculated test statistic (1.325) is less than the critical value (1.705), we can support the null hypothesis and conclude that the bags of potato chips will not fail inspection.

To know more about the evaluation of test statistics visit:

https://brainly.com/question/31631147

#SPJ11

The drawing shown was made on paper and cut out to build a little house. Which of the houses could not have resulted from this construction?

The first image is the little house without being constructed, the other ones are the option answers

Answers

Answer:  B

Step-by-step explanation:

If you fold that bottom side up.  the door is not on the closer side to the window. so B is wrong because the door is near the window.

Decide if a given function is uniformly continuous on the specified domain. Justify your answers.
Use any theorem listed, or any used theorem must be
explicitly and precisely stated. In your argument, you can use without
proof a continuity of any standard function.
Theorems: Extreme Value Theorem,Intermediate Value Theorem,corollary

Answers

The approach to showing uniform continuity will depend on the specific function and domain given.

Without a given function and domain, I cannot provide a specific answer. However, I can provide a general approach to determining whether a function is uniformly continuous on a given domain.

To show that a function is uniformly continuous on a domain, we need to show that for any ε > 0, there exists a δ > 0 such that for any x, y in the domain with |x - y| < δ, we have |f(x) - f(y)| < ε.

One approach to showing uniform continuity is to use the theorem that a continuous function on a closed and bounded interval is uniformly continuous (the Extreme Value Theorem and Corollary). This means that if the domain of the function is a closed and bounded interval, and the function is continuous on that interval, then it is uniformly continuous on that interval.

Another approach is to use the Intermediate Value Theorem. If we can show that the function satisfies the conditions of the Intermediate Value Theorem on the given domain, then we can conclude that the function is uniformly continuous on that domain. The Intermediate Value Theorem states that if f is continuous on a closed interval [a, b], and if M is a number between f(a) and f(b), then there exists a number c in [a, b] such that f(c) = M.

To use the Intermediate Value Theorem to show uniform continuity, we need to show that for any ε > 0, there exists a δ > 0 such that for any x, y in the domain with |x - y| < δ, we have |f(x) - f(y)| < ε/2. Then, using the Intermediate Value Theorem, we can show that for any M such that |M - f(x)| < ε/2, there exists a number c in the domain such that f(c) = M. Combining these two results, we can show that for any ε > 0, there exists a δ > 0 such that for any x, y in the domain with |x - y| < δ, we have |f(x) - f(y)| < ε.

Overall, the approach to showing uniform continuity will depend on the specific function and domain given.

To learn more about continuity visit:

https://brainly.com/question/31694381

#SPJ11

Suppose the final step of a Gauss-Jordan elimination is as follows: 11 0 0 51 0 1 21-3 LO 0 ol What can you conclude about the solution(s) for the system?

Answers

We can conclude that the system represented by the given Gauss-Jordan elimination has infinitely many solutions, and the values of the variables can be expressed in terms of a free variable x4.

The Gauss-Jordan elimination is a method used to solve a system of linear equations. The final step of the method is to transform the augmented matrix of the system into reduced row echelon form, which allows for easy identification of the solution(s) of the system.

In the given final step of the Gauss-Jordan elimination, the augmented matrix of the system is represented as:

11 0 0 51

0  1 0 21

0  0 1 -3

0  0 0  0

The augmented matrix is in reduced row echelon form, where the leading coefficients of each row are all equal to 1, and there are no other non-zero elements in the same columns as the leading coefficients. The last row of the matrix corresponds to the equation 0 = 0, which represents an identity that does not provide any new information about the system.

The system represented by this matrix is:

11x1 + 51x4 = 0

x2 + 21x4 = 0

x3 - 3x4 = 0

We can see that the third row of the matrix corresponds to an equation of the form 0x1 + 0x2 + 0x3 + 0x4 = 0, which indicates that the variable x4 is a free variable. This means that the system has infinitely many solutions, and the value of x4 can be chosen arbitrarily.

The values of x1, x2, and x3 can be expressed in terms of x4 using the equations given by the first three rows of the matrix. For example, we can solve for x1 as follows:

11x1 + 51x4 = 0

x1 = -51/11 x4

Similarly, we can solve for x2 and x3:

x2 = -21 x4

x3 = 3 x4

Therefore, the general solution of the system is:

x1 = -51/11 x4

x2 = -21 x4

x3 = 3 x4

x4 is a free variable

In summary, we can conclude that the system represented by the given Gauss-Jordan elimination has infinitely many solutions, and the values of the variables can be expressed in terms of a free variable x4.

To learn more about represented visit:

https://brainly.com/question/13246446

#SPJ11

A survey found that 4 out
of 10 students will work a
summer job. If there are
340 students at the
school, about how many
will work a summer job?

Answers

If 4 out of 10 students work a summer job, then the proportion of students who will work a summer job is 4/10 or 0.4.

To calculate the number of students who will work a summer job in a school with 340 students, we can multiply the proportion who will work (0.4) by the total number of students:

0.4 x 340 = 136

So, about 136 students will work a summer job.

A box at a miniature golf course contains contains 9 red golf balls, 6 green golf balls, and 7 yellow golf balls. What is the probability of taking out a golf ball and having it be a red or a yellow golf ball?
Express your answer as a percentage and round it to two decimal places.

Answers

We can express this as a percentage and round it to two decimal places:

P(red or yellow golf ball) = 16/22 * 100%

= 72.73% (rounded to two decimal places)

To find the probability of taking out a red or a yellow golf ball, we need to add the probability of taking out a red golf ball and the probability of taking out a yellow golf ball. We can find the probability of taking out a red golf ball by dividing the number of red golf balls by the total number of golf balls in the box:

P(red golf ball) = 9 / (9 + 6 + 7) = 9 / 22

Similarly, we can find the probability of taking out a yellow golf ball:

P(yellow golf ball) = 7 / (9 + 6 + 7) = 7 / 22

To find the probability of taking out either a red or a yellow golf ball, we can add these probabilities:

P(red or yellow golf ball) = P(red golf ball) + P(yellow golf ball)

= 9/22 + 7/22

= 16/22

Finally, we can express this as a percentage and round it to two decimal places:

P(red or yellow golf ball) = 16/22 * 100%

= 72.73% (rounded to two decimal places)

To learn more about probability  visit:

https://brainly.com/question/15124899

#SPJ11

Using the integral test, find the values of p� for which the series [infinity]∑n=21n(lnn)p∑�=2[infinity]1�(ln⁡�)� converges. For which values of p� does it diverge? Explain

Answers

The integral test states that if a series is a sum of terms that are positive and decreasing, and if the terms of the series can be expressed as the values of a continuous and decreasing function, then the series converges if and only if the corresponding improper integral converges.

Let's apply the integral test to the given series. We need to find a continuous, positive, and decreasing function f(x) such that the series is the sum of the values of f(x) for x ranging from 2 to infinity.

For the first series, we have:

∑n=2∞n(lnn)p

Let f(x) = x(lnx)p. Then f(x) is continuous, positive, and decreasing for x ≥ 2. Moreover, we have:

f'(x) = (lnx)p + px(lnx)p-1

f''(x) = (lnx)p-1 + p(lnx)p-2 + p(lnx)p-1

Since f''(x) is positive for x ≥ 2 and p > 0, f(x) is concave up and the trapezoidal approximation underestimates the integral. Therefore, we have:

∫2∞f(x)dx = ∫2∞x(lnx)pdx

Using integration by substitution, let u = lnx, then du = 1/x dx. Therefore:

∫2∞x(lnx)pdx = ∫ln2∞u^pe^udu

Since the exponential function grows faster than any power of u, the integral converges if and only if p < -1.

For the second series, we have:

∑n=2∞1/n(ln⁡n)²

Let f(x) = 1/(x(lnx)²). Then f(x) is continuous, positive, and decreasing for x ≥ 2. Moreover, we have:

f'(x) = -(lnx-2)/(x(lnx)³)

f''(x) = (lnx-2)²/(x²(lnx)⁴) - 3(lnx-2)/(x²(lnx)⁴)

Since f''(x) is negative for x ≥ 2, f(x) is concave down and the trapezoidal approximation overestimates the integral. Therefore, we have:

∫2∞f(x)dx ≤ ∑n=2∞f(n) ≤ f(2) + ∫2∞f(x)dx

where the inequality follows from the fact that the series is the sum of the values of f(x) for x ranging from 2 to infinity.

Using the comparison test, we have:

∫2∞f(x)dx = ∫ln2∞(1/u²)du = 1/ln2

Therefore, the series converges if and only if p > 1.

In summary, the series ∑n=2∞n(lnn)p converges if and only if p < -1, and the series ∑n=2∞1/n(ln⁡n)² converges if and only if p > 1. For values of p such that -1 ≤ p ≤ 1, the series diverges.
To find the values of p for which the series converges or diverges using the integral test, we will first write the series and then perform the integral test.

The given series is:

∑(n=2 to infinity) [1/n(ln(n))^p]

Now, let's consider the function f(x) = 1/x(ln(x))^p for x ≥ 2. The function is continuous, positive, and decreasing for x ≥ 2 when p > 0.

We will now perform the integral test:

∫(2 to infinity) [1/x(ln(x))^p] dx

To evaluate this integral, we will use the substitution method:

Let u = ln(x), so du = (1/x) dx.

When x = 2, u = ln(2).
When x approaches infinity, u approaches infinity.

Now the integral becomes:

∫(ln(2) to infinity) [1/u^p] du

This is now an integral of the form ∫(a to infinity) [1/u^p] du, which converges when p > 1 and diverges when p ≤ 1.

So, for the given series:

- It converges when p > 1.
- It diverges when p ≤ 1.

In conclusion, using the integral test, the series ∑(n=2 to infinity) [1/n(ln(n))^p] converges for values of p > 1 and diverges for values of p ≤ 1.

Learn more about trapezoidal here:- brainly.com/question/8643562

#SPJ11

an independent research was made asking people about their bank deposits. using the data in the table, calculate the deposit sample mean and deposit sample standard deviation

Answers

To calculate the deposit sample mean, we need to add up all the bank deposits and divide by the number of respondents. From the table, the total bank deposits is $45,000 and there are 10 respondents. So the deposit sample mean is:

Deposit sample mean = Total bank deposits / Number of respondents
Deposit sample mean = $45,000 / 10
Deposit sample mean = $4,500

To calculate the deposit sample standard deviation, we need to first find the differences between each respondent's bank deposit and the sample mean. We then square these differences, add them up, divide by the number of respondents minus one (known as the degrees of freedom), and then take the square root. Here are the steps:

Step 1: Find the differences between each respondent's bank deposit and the sample mean:

Respondent 1: $3,000 - $4,500 = -$1,500
Respondent 2: $5,000 - $4,500 = $500
Respondent 3: $4,500 - $4,500 = $0
Respondent 4: $6,000 - $4,500 = $1,500
Respondent 5: $3,500 - $4,500 = -$1,000
Respondent 6: $5,500 - $4,500 = $1,000
Respondent 7: $6,500 - $4,500 = $2,000
Respondent 8: $4,000 - $4,500 = -$500
Respondent 9: $4,500 - $4,500 = $0
Respondent 10: $4,500 - $4,500 = $0

Step 2: Square each difference:

Respondent 1: (-$1,500)^2 = $2,250,000
Respondent 2: $500^2 = $250,000
Respondent 3: $0^2 = $0
Respondent 4: $1,500^2 = $2,250,000
Respondent 5: (-$1,000)^2 = $1,000,000
Respondent 6: $1,000^2 = $1,000,000
Respondent 7: $2,000^2 = $4,000,000
Respondent 8: (-$500)^2 = $250,000
Respondent 9: $0^2 = $0
Respondent 10: $0^2 = $0

Step 3: Add up the squared differences:

$2,250,000 + $250,000 + $0 + $2,250,000 + $1,000,000 + $1,000,000 + $4,000,000 + $250,000 + $0 + $0 = $11,000,000

Step 4: Divide by the degrees of freedom (number of respondents minus one):

$11,000,000 / 9 = $1,222,222.22

Step 5: Take the square root:

Deposit sample standard deviation = √$1,222,222.22 = $1,105.54

Therefore, the deposit sample mean is $4,500 and the deposit sample standard deviation is $1,105.54.

Learn more about sample mean and sample standard deviation:

https://brainly.com/question/10683952

#SPJ11

Find the surface area of the solid formed by the net. Round your answer to the nearest hundredth.

Answers

The surface area of the solid formed by the net = 150.72 in²

From the figure we can observe that the solid formed by the net is the net of a cylinder.

The cylinder bases are the 2 circles and the curved surface of the cylinder is the rectangle.

The surface area of the cylinder = Area of the 2 circles + area of the rectangle

Here, the diameter of circle is 4 in

So, the radius of circle = ½ × 4

                                     = 2 in

So, the area of the 2 circles would be,

2(πr²)

= 2 × 3.14 × 2²

= 25.12 in²

Here the width of the rectangle is 10 in. and the length is nothing but the circumference of the circle.

so, length L =  πd

                   = π × 4

                   = 12.56 in

Now the area of rectangle would be,

L × W

= 12.56 × 10

= 125.6 in²

The total surface area of net would be,

Area of the 2 circles + area of the rectangle

= 25.12 + 125.6

= 150.72 in²

Learn more about the surface area of cylinder here:

https://brainly.com/question/22074027

#SPJ1

Other Questions
A motor cycle travelling at 100km/h on a flat road applies the brakes at 0.80m/s for 1 minute. How far did the motorcycle travel during this time? Five of the "big six" polymers undergo _____ polymerization. which lines below from lowells poem the first snow fall would be best to cite to show the romantic writers characteric love of nature Background Information: The only way to avoid a worst-case climate change scenario, scientists agree, is to start drastically cutting greenhouse gas emissions. To incentivize individuals, governments, and corporations to pull the plug on fossil fuels, many economists favor imposing a global tax on carbon. Enacting such a policy would require cooperation of countries around the world, but there may be more hope for this, according to a new survey led by assistant professor of economics Stefano Carattini from GSU. Passage: Assistant Professor of Economics, Stefano Carattini, and collaborators surveyed 4,997 citizens in five countries (including the United States, India, the United Kingdom, South Africa, and Australia). Around 1,000 people in each country completed an online survey. The team found consistently high support for a global carbon tax among the public under certain scenarios. For example, most respondents said they would support the taxes if revenue were given back to citizens as per capita dividends. More than half of voters from four of the countries voted in favor of a carbon tax that would support giving back dividends to citizens. The exception was the United States in which only 44% of the voters supported the tax. So, Carattini's research results were that four out of five countries support a global carbon tax under some conditions. Based on that, Carattini's team concludes that 80% of all countries would favor such a tax. Carattini's team's work was published in Nature in January 2019, and earned support from prominent economic experts. - Based on information from GSU Research magazine, Spring 2019, p. 17 and the article "How to win global support for a global carbon tax," published in the scientific journal Nature, 16. January 2018. Are the premises relevant to the conclusion? Why or why not? how does the buoyancy of magma cause volcanic eruptions How does renaissance art build on prior time periods Ice actually has negative caloric content. How much energy, in each of the following units, does your body lose from eating (and therefore melting) 70 g of ice? Heat of fusion for water is 6.02 kJ/mol. How many different simple random samples of size 4 can be obtained from a population whose size is 48? The number of simple random samples which can be obtained is ____. (Type a whole number.) 6. What are context clues?O techniques to help you break apart challenging, multisyllabic wordsOwords and phrases that help you define unfamiliar wordsO strategies to help you summarize the main idea of textsupporting ideas that help you discover a story's hidden message Term that best describes thoreaus outlook on life Triangle BHY is shown, where mmLNYB= (3x +81).HBa. Determine the value of x. Show your work.YN I need help right now pleaseI need answers thanks you! a large sports supplier has many stores located world wide. a regression model is to be constructed to predict the annual revenue of a particular store based upon the population of the city or town where the store is located, the annual expenditure on promotion for the store and the distance of the store to the center of the city. Yukiko says to basil "im going to sell my car for $500. " basil replies, alright here is the money ill take it. Was there a contract being made or no Question 49 The process of re-adapting to a manager's home culture after working a few years in another country is rarely a problem since she already understands her own culture. Not yet answered Points out of 7 Select one: Flag question True O False Question 4 NEW arrod Recently, consumer electronics sales in Chira have increased nearly 10%. The Chinese market is increasingly competitive. Japanese, U.S., and Europeeri firms are investing in production facilities in China to capture the benefits of low cost production there. Pantagruel is a U.S.-based firm that has spent eight years painstakngly negotiating with the Chinese government but has given up deciding to invest in foreign croduction elsewhere where conditions would be more favorably responsive From the following choices, which would be a logical inference to draw from the passage above? P Flag Select one a The Chinese culture is more likely than not to be relationship-oriented. Oh. The American culture in less likely to take an impersonal approach to business Oc The American culture is more likely than not to be relationship-oriented. d. The Chinese culture is more likely than not to be deal-oriented. Clear my choice Question 40 Which of the following is not a reason why nations form regional economic integration agreements with their geographic neighbors? Not yet answered Select one: Points out of 7 O a. increase the availability of products and services to its consumers at lower prices Flag question O b. to protect themselves from regional economic competitors Oc to promote economic growth and competitiveness O d. to promote employment growth Clear my choice A key element of the utilitarian approach to ethics in international business is the idea that human dignity is essential and must be preserved. Question 43 Not yet answered Points out of 7 Select one: Flag question True False Find all real zeros of the function.h(x)=-5x(x2)(16)If there is more than one answer, separate them with commas.zero(s):00X according to the ftc, most mergers are ____ . select the two correct answers below. select all that apply: harmful to consumers harmful to businesses beneficial to consumers beneficial to firms Which species is a free radical?A. CH3B. +CH3C. -CH3D. :CH3 two infinitely long, parallel wires are carrying 6 a currents in opposite directions. determine the magnetic flux density at point p in fig. p5.12. Part B What will be the area, in square inches, of the piece of sheet metal after both sections are cut and removed?