Determine whether the equation is true or false.

The density of the cuboid is 10.4 g/cm3 ( 1 d.p)

Density is the ratio of mass of a substance to its volume. It is measured in kg/m³ or g/cm³. It is a scalar quantity.

The density of a substance bis expressed as;

d = mass/volume

The mass = 416g

and the volume = l× w × h

length of the cuboid = 4cm

width of the cuboid = 2cm

and height = 5cm

Therefore the volume is calculated as :

V = 4× 2 × 5

V = 40cm³

the volume of the cuboid is 40cm³

The density can now be calculated as :

density = mass/volume

density = 416/40

= 10.4g/cm³

therefore the density of the cuboid is 10.4 g/cm³

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The probability that a red ball was selected more than 20 times when 25 balls are randomly selected from the jar with replacement is 0.037.

Given that a jar contains 30 red balls and 20 white balls. Also, 25 balls are randomly selected from the jar with replacements. We need to find the probability that a red ball was selected more than 20 times.

The binomial probability distribution function can be represented as follows:
[tex]P(X = k) = \ ^nC_k . p^k . q^{(n-k)}[/tex]
where n is the number of trials, k is the number of successes,

p is the probability of success,

q = 1 - p is the probability of failure.
Here, the probability of selecting a red ball is 30/50 = 3/5.

So, the probability of selecting a white ball is 2/5.
Here, we have n = 25 trials, p = 3/5, q = 2/5.

Let X be the number of times a red ball is selected. Then we need to find P(X > 20).
So, P(X > 20) = 1 - P(X ≤ 20)
= 1 - Σ P(X = k), k = 0 to 20
[tex]= 1 - \sum \ ^nC_k . p^k . q^{(n-k)}[/tex], k = 0 to 20
[tex]P(X = k) = \ ^nC_k . p^k . q^{(n-k)}[/tex]

[tex]P(X > 20) = 1 - \sum \ ^nC_k . p^k . q^{(n-k)}[/tex], k = 0 to 20

= [tex]1 - { \ ^nC_0 . p^0 . q^{(n-0)} + \ ^nC_1 . p^1 . q^{(n-1)} + \ ^nC_2 . p^2 . q^{(n-2)} + ... + \ ^nC_{20} . p^{20} . q^{(n-20)}}[/tex]
= 1 - {1 . (3/5)^0 . (2/5)^25 + 25 . (3/5)^1 . (2/5)^24 + 300 . (3/5)^2 . (2/5)^23 + ... + 1.623 x 10^10 . (3/5)^20 . (2/5)^5}
= 1 - 0.963
= 0.037

Therefore, the probability that a red ball was selected more than 20 times when 25 balls are randomly selected from the jar with replacement is 0.037.

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Answer:

identify a relationship among Tn,Sn and Sn-1 where n>1

It depends on the specific composite figure. In general, the perimeter of a composite figure is not always equal to the sum of the perimeters of the individual figures that make it up.

However, in some cases, it is possible to calculate the perimeter of a composite figure by adding the perimeters of the individual figures and subtracting the lengths of any shared sides.

For example, if a composite figure is made up of two rectangles that share a side, then the perimeter of the composite figure is equal to the sum of the perimeters of the two rectangles minus the length of the shared side.

In other cases, such as when a composite figure has curved sides or irregular shapes, the perimeter cannot be calculated simply by adding the perimeters of the individual figures.

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Answer: 0.2 square meters.

Step-by-step explanation:

We are given the equation:

3600b² = hw

We need to find the value of b, given that h = 168 cm and w = 60 kg.

First, we need to convert the height from centimeters to meters:

h = 168 cm = 1.68 m

Substituting the given values:

3600b² = (1.68)(60)

3600b² = 100.8

b² = 100.8/3600

b² = 0.028

Taking the square root of both sides:

b = √0.028

b ≈ 0.167

Rounding to the nearest tenth:

b ≈ 0.2

Therefore, the body surface area of a person who is 168 centimeters tall and weighs 60 kilograms is about 0.2 square meters.

The greatest inflation rate was 1.78% in year1 and year2

When you have a lot of repetitive calculations to do, it is convenient to let a spreadsheet do it. Copying the given data to the spreadsheet ensures we have made no data entry errors.

The inflation rate is calculated as ...

 (year 2 price)/(year 1 price) -1 . . . . . expressed as a percentage

[tex]\frac{74.30}{73.00}=1.0178\\\\\frac{76.015}{75}=1.0135\\\\\frac{89.25}{88}=1.0142[/tex]

The attachment shows the results of this calculation as applied to the economies in the order shown. The least-to-greatest order is shown in the right-most column.

The complete question is-

The CPI basket price for two consecutive years in five different economies are given. Determine the rate of inflation for each economy. Then order the tiles from least to the greatest inflation rate.

Year 1 = $73.00

Year 2 = $74.30

Year 1 = $75.00

Year 2 = $76.15

Year 1 = $88.00

Year 2 = $89.25

Year 1 = $72.50

Year 2 = $73.75

Year 1 = $79.00

Year 2 = $80.25​

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Answer:

37 customers preferred cake.

Step-by-step explanation:

A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

To find out how many customers preferred cake, we need to multiply the total number of customers (105) by the percentage of customers who preferred cake (35%):

(35% = 0.35)

Rounding this to the nearest whole number gives us 37. Therefore, approximately 37 customers preferred cake.

Answer:

35% of 105 is 36.75. ( Rounded up 37). So 37 customers preferred cake the most

0.90 x $11.00 = $9.90

This is the price of the CD before taxes are applied. To find the total price, including tax, we need to add the 7% sales tax to the discounted price:

Total price = discounted price + (sales tax x discounted price)

Total price = $9.90 + (0.07 x $9.90)

Total price = $9.90 + $0.69

Total price = $10.59

Therefore, the total price of the CD, including tax, is $10.59.

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According to the question the equilibrium price of tea is 2.10.

Equilibrium is a state of balance in which all forces acting on an object are equal and opposite, so no net force is acting on the object. This state of balance is also known as a "steady state". Equilibrium is an important concept in many areas of science, such as physics and chemistry, because it allows us to analyze how objects interact in a stable environment. Equilibrium can also be used to describe a state of financial balance, where all parties involved in a transaction are satisfied with the outcome.

The equilibrium price can be found by setting the two equations equal to one another and solving for P.
34P + 53 = -25P + 177
59P = 124
P = 124/59
P = 2.10
Therefore, the equilibrium price of tea is 2.10.

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Answer:

Answer: 10

Step-by-step explanation:

Let L be the length of the rectangle, and W be the width.

From the problem, we know that:

The perimeter of the rectangle is 72, which means that:

2(L + W) = 72

L + W = 36

The width is 4 less than 3 times the length:

W = 3L - 4

Substituting W = 3L - 4 into the first equation, we get:

L + 3L - 4 = 36

4L = 40

L = 10

Therefore, the length of the rectangle is 10. Answer:  10

Answer:

c. 36 people

pls mrk me brainliest

Answer:

The answer would indeed be C. 36 people.

The Binomial Distribution applet will calculate the probability of the basketball player making 2 or less shots, and it turns out to be equal to 0.8425.

Using the Binomial Distribution Applet, we can find the probability that the basketball player makes 2 shots or less by inputting the given information into the applet. The number of trials is 3, the probability of success is 0.54, and the number of successes we are looking for is 2 or less.

Here are the steps to finding the probability using the Binomial Distribution Applet: Input the number of trials as 3, Input the probability of success as 0.54, Input the number of successes as 2, Click the "Calculate" button

The applet will then calculate the probability of the basketball player making 2 or less shots, which is 0.8425. Therefore, the answer to the question is 0.8425.

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In order to find the price increase in percentage terms, we divide the price difference by the cost price.

The difference:

Rate:

If we solve for [tex]x[/tex] in this equation, it will give us the price increase as a percentage.

The price increase should be [tex]110[/tex]%.

Answer:16.7%

Step-by-step explanation: He has a 33% chance of losing in chess and 50% of losing in pool. So when you convert the two percentages to decimals and multiply them the result is 0.167. Convert the number back into a percentage, it's 16.7%.

a)   there is a strong positive correlation between the variables based on the given correlation coefficient and critical value

To interpret correlation values, the Table of Critical Values must be used. In this case, the correlation be reasonable to conclude that the data come from a r X. Table of critical values Sample Size, n Critical Value Sample Size, n Critical Value 5 0.880 16 0.941 6 0.888 17 0.944 7 0.898 18 0.946 8 0.906 19 0.949 9 0.912 20 0.951 10 0.918 21 0.952 11 0.923 22 0.954 12 0.928 23 0.956 13 0.932 24 0.957 14 0.935 25 0.959 15 0.939 30 0.960. The correlation coefficient is found between -1 and 1. Correlation values near 1 indicate a strong positive correlation, while those near -1 indicate a strong negative correlation. Correlation values near zero, on the other hand, indicate no correlation between the variables. In this case, we can interpret that the correlation is significant because it falls outside of the range of -0.880 and 0.880. We can see that the correlation value of 0.918 is higher than the critical value of 0.880 for the sample size of 10 from the given table of critical values. As a result, it can be concluded that there is a strong positive correlation between the variables based on the given correlation coefficient and critical value.

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Answer:

≈ 9.9 feet

Step-by-step explanation:

We can use the Pythagorean theorem to solve this problem. Let x be the distance from the house to the base of the ladder. Then:

x^2 + 15^2 = 18^2

Simplifying and solving for x, we get:

x = sqrt(18^2 - 15^2) = 9.9 feet (rounded to the nearest tenth)

Therefore, Jaquira should place the base of the ladder approximately 9.9 feet away from the house.

Answer:

241/84

Step-by-step explanation:

To find the multiplication equation that shows how the denominators of 3/4 and 1/2 are related, we can simply multiply the two denominators together:

3/4 x 1/2 = 3/8

Therefore, the denominators are related by the equation 4 x 2 = 8.

To write 1/2 as an equivalent fraction with a denominator of 4, we need to multiply both the numerator and denominator by the same factor that will transform the denominator of 2 to a denominator of 4.

Using the multiplication equation we found earlier, we can see that we need to multiply both the numerator and denominator of 1/2 by 2 (since 2 x 2 = 4). This gives us:

1/2 x 2/2 = 2/4

Therefore, 1/2 can be written as an equivalent fraction with a denominator of 4 as 2/4.

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The student's error is adding two non-adjacent angles and then solving for x.

What are the opposite angles?

Opposite angles are the angles directly opposite each other where two lines cross. The intersection point is called the vertex, which is where the lines connect to form the angle. Opposite angles are also called vertical angles.

The student's error is that they incorrectly added the two given angles together.

The angles 2x+6 and 60 are not adjacent angles and therefore cannot be added together to find the sum of the two angles.

In the figure, if the angle formed by the intersection of the lines is labeled as angle A, then we know that angle A is equal to 2x+6 and angle B is equal to 60.

These two angles are opposite angles and not adjacent angles, so they do not add up to 180 degrees.

Therefore, the student's error is adding two non-adjacent angles and then solving for x.

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The population of the town after 12 years Aand in 24 years will be approximately 34,461 and 79,171 respectively.

If the population doubles every 10 years, then we can use the formula for exponential growth to find the population after a certain number of years:

P = P₀ x 2^(t/T)

where:

P₀ = initial population = 15,000

P = population after t years

T = doubling time = 10 years

t = number of years

Using this formula, we can find the population after 12 years:

P = 15,000 × 2^(12/10)

P = 34,461

Therefore, the population of the town after 12 years will be approximately 34,461.

Similarly, we can find the population after 24 years:

P = 15,000 ×  2^(24/10)

P = 79,171

Therefore, the population of the town after 24 years will be approximately 79,171.

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Corsica adds 3/32 = 0.09375 ounces of water to the bucket per second.

To find how many ounces of water are added to the bucket per second, we need to rearrange the given equation to solve for the rate of change of the water, which is the change in the amount of water per unit of time.

Starting with:

3W = 32S

We can divide both sides by S:

3W/S = 32

Now we can see that the left-hand side represents the amount of water (in ounces) added per second, since W/S is the rate of change of the water with respect to time.

Therefore, we can conclude that Corsica adds 3/32 = 0.09375 ounces of water to the bucket per second.

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Answer: 2° Celsius.

Step-by-step explanation:

A graphic organizer that correctly groups the following numbers 4.1, -9, 3, -2.2​ is; B. graphic organizer B.

In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the 6, 4.1, -2.2 12, 1/2, 0.5, √16, -29, etc.

In Mathematics, an integer can be defined as a whole number that may either be positive, negative, or zero (0). This ultimately implies that, a positive integer simply refers to a whole number that is greater than or equal to one (1).

Based on the given data set 4.1, -9, 3, -2.2, the numbers should be correctly grouped as follows;

Rational number = 4.1 and -2.2.

Integer = -9.

Whole number = 3.

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Answer: 30

Step-by-step explanation:

I think 0.o

Let's represent the total distance that Mira plans to run with "x".

According to the problem, 2 miles is 40% of the total distance, so we can write:

2 = 0.4x

To find the value of "x", we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.4:

2 ÷ 0.4 = x

Simplifying the left side gives us:

5 = x

Therefore, Mira plans to run a total of 5 miles.

The best estimate for the total amount of time Tim would spend answering e-mails over the course of 100 days is 100 hours with a standard deviation of 0.53 hours.

To find the total amount of time Tim would spend answering emails over the course of 100 days, we need to use the concept of the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approaches a normal distribution regardless of the underlying distribution.

To calculate the standard deviation of the total amount of time Tim spends answering emails over 100 days, we can use the formula:

standard deviation = square root of (n * variance)

where n is the number of days and variance is the variance of the amount of time Tim spends in a day answering emails.

Substituting the values, we get:

standard deviation = square root of (100 * 0.0028) = 0.53 hours

Therefore, Tim would spend an average of 100 hours over the span of 100 days responding to emails, with a standard deviation of 0.53 hours, according to the best estimate.

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The domain is (-∝, ∝) and the range is y > 0

From the question, we have the following parameters that can be used in our computation:

y = 2^x

The domain of the function is the set of all real numbers

This is so because there is no restriction on the input values

The range of the function is the set of positive real numbers

Since any positive number can be obtained by raising 2 to a power, and the function is never negative or zero.

We can write the range as y > 0.

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The right formula to figure out how much money was saved, s, in dollars when getting this desk on sale is: s = 0.2(380) (380) This calculation accounts for  desk being 20% less expensive than it was originally.

which translates to a 20% discount for the consumer. So, we must multiply the original price by the discount %, which in this case is 0.2, in order to determine the amount saved. The equation in Option A that best captures the presented circumstance is accurate. A desk is on sale for $380, which is 20% off the original price. Which equation can be used to determine the amount of money saved, s, in dollars, when purchasing this desk on sale accounts for  desk being 20% less expensive than it was originally. The equation in Option A that best captures the presented circumstance is accurate.

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Answer:

No

Step-by-step explanation:

In order for a set of ordered pair to be a function all the x values need to be different. In this case we have two of the same x values so this set won't be a function.

Sally's turtle walked a total of 30 feet altogether on Wednesday.

To determine the total distance the turtle went, we need to know the distances between the beginning line and points T and M.

According to the diagram, there are 12 feet between the beginning line and point T and 8 feet between the starting line and point M.

The turtle travels a distance of: when it moves from the starting line to point T and then returns to point M.

Distance between the beginning line and point T plus the distances between point T and point M and point M from the starting line equals 12 + 10 + 8 = 30 feet.

So, on Wednesday, Sally's turtle travelled a total of 30 feet.

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The cοοrdinates οf the fοurth vertex οf the parallelοgram are (19/2, 19.5).

A spherical οr elliptical cοοrdinate system knοwn as the geοgraphic cοοrdinate system is used tο measure and transmit pοsitiοns οn Earth as latitude and lοngitude.

First, we can find the distance between pοints Y and q, which will be the same as the distance between pοints 5 and B since they are οppοsite sides οf the parallelοgram:

Distance Yq = [tex]\sqrt{[(10-8)^2 + (5-10)^2] }[/tex]

Distance Yq = [tex]\sqrt{8 + 25 }[/tex]

Distance Yq =[tex]\sqrt{ 33}[/tex]

Distance 5B = [tex]\sqrt{[(3-2)^2 + (2-3)^2] }[/tex]

Distance 5B = [tex]\sqrt{2}[/tex]

Since οppοsite sides are cοngruent, √33 = √2x, where x is the length οf the missing side οf the parallelοgram. Sοlving fοr x, we get:

x = (33/2)

Next, we can find the slοpe οf the line passing thrοugh pοints Y and q,

Slοpe Yq = (10-5)/(8-10) = -5/2Slοpe B-missing vertex = -5/2

write the equatiοn οf the line passing thrοugh B and the missing vertex:

y - 2 = (-5/2)(x - 3)

Simplifying, we get:

y = (-5/2)x + (19/2)

Therefοre, the cοοrdinates οf the missing vertex are (19/2, x), where x = 2 + (33/2) = 19.5.

Sο the cοοrdinates οf the fοurth vertex οf the parallelοgram are (19/2, 19.5).

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