when Juan finished the next level of his video game, he lost 10 points for each of the two targets he missed and was penalized 95 points for taking too long. write the total change to his score as an integer.

Answers

Answer 1

The total change to his score as an integer is -115

What is the total change of Juan score?

The total change in Juan score is calculated as follows;

Let Juan's initial score = x

when Juan finished the next level of his video game, he lost 10 points for each of the two targets he missed.

total points deducted = 20 points.

New score = x - 20

He was also penalized 95 points for taking too long.

His final score;

(x - 20) - 95

= x - 115.

Learn more about  total change here: https://brainly.com/question/30668323

#SPJ1


Related Questions

You invest $50 and it doubles every year. Write an equation to model your investment

Answers

we can look at this as an exponential growth, and if something is P today and next year is 2P, hell it doubled and then 4P and so on, so doubling is implying that, whatever P is, will be twice that much in a year, or we can word it as, it'll be 100% more than what it's today, that said, we can just write a Growth equation for "t" years with an annual rate of 100%.

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &50\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=years \end{cases} \\\\\\ A = 50(1 + 1)^{t} \implies A = 50(2)^t[/tex]

Which of the following charts is used when the measure for the sample is weight, volume, number of inches or other variable measurements? 1. Mean chart 2. Range chart 3. C chart 4. P chart

Answers

The chart that is typically used when the measure for a sample is weight, volume, number of inches or other variable measurements is the mean chart.

The mean chart is a statistical process control chart that plots the average or mean of the sample against the upper and lower control limits. This chart is useful when the process being measured produces continuous data that is normally distributed.
The range chart is used when the measure for the sample is the range of variation within the sample. This chart shows the difference between the largest and smallest values in the sample, and is useful for detecting changes in variability.

The C chart is used when the measure for the sample is the number of defects or occurrences within a given unit of measurement. This chart is useful for measuring the process capability of a system and identifying areas where improvements can be made.
Finally, the P chart is used when the measure for the sample is the proportion of defective items within a given sample. This chart is useful for measuring the quality of a product or process and identifying areas where defects are occurring.

Overall, the mean chart is the most commonly used chart for variable measurements, but the specific chart chosen will depend on the nature of the data being collected and the goals of the analysis.
To briefly explain each of the chart types:

1. Mean chart: Used for monitoring the central tendency of a variable over time.
2. Range chart: Used for monitoring the variability of a continuous variable, like weight, volume, or number of inches, over time.
3. C chart: Used for monitoring the number of defects in a unit of measure (e.g., per item or per batch) over time.
4. P chart: Used for monitoring the proportion of defective items in a sample over time.

In your case, since you are working with variable measurements like weight, volume, and the number of inches, the most appropriate chart to use is the Range chart (#2). This chart will help you monitor the variability of the measured data over time and allow you to analyze any patterns or trends that may emerge.

Learn more about chart at : brainly.com/question/26067256

#SPJ11

when a satellite reads radiation from a mountain the amount of radiation it observes is distributed n(490, 2916) (units are msv). a spy satellite has detected a radiation level of 599 from a mountain known to have terrorists. assuming there is no nuclear danger here, what is the probability of a random radiation measurement being 599 or higher?

Answers

The probability of a radiation measurement of 599 or higher from a mountain known to have terrorists, assuming no nuclear danger, is about 0.0668.

How to find the probability?

We are given that the radiation levels observed by the satellite are normally distributed with a mean of 490 and a variance of 2916. We want to find the probability of a random radiation measurement being 599 or higher, assuming there is no nuclear danger.

First, we need to standardize the radiation level of 599 using the formula:

z = (x - mu) / sigma

where x is the radiation level, mu is the mean, and sigma is the standard deviation. Substituting the values we have:

z = (599 - 490) / √(2916) = 1.5

Now, we can use a standard normal distribution table or calculator to find the probability of a z-score of 1.5 or higher. The table or calculator will give us the area under the standard normal curve to the right of 1.5.

Using a calculator, we can find this probability as follows:

P(Z > 1.5) = 0.0668 (rounded to four decimal places)

Therefore, the probability of a random radiation measurement being 599 or higher is approximately 0.0668, assuming there is no nuclear danger.

Learn more about Probability

brainly.com/question/16484393

#SPJ11

Find the upper and lower Darboux integrals for f(x) = x3 on the interval [0, b). Hint: Exercise 1. 3 and Example 1 in ş1 will be useful. N n(n + 1)2. You may use the fact that 23 4 k=1

Answers

The upper Darboux integral as [tex]$\frac{1}{4}b^4$[/tex]and the lower Darboux integral is 0.

The upper Darboux integral of a function f(x) on the interval [a,b] is defined as the supremum of the sums of the form

[tex]$\sum_{i=1}^n M_i(x_i - x_{i-1})$[/tex]where[tex]$M_i$[/tex] is the supremum of f(x) over the ith subinterval[tex]$[x_{i-1}, x_i]$[/tex]

Similarly, the lower Darboux integral is defined as the infimum of the same sums with the infimum of f(x) over each subinterval. For the function f(x) =[tex] x^3[/tex]

On the interval [0, b), we can see that the function is increasing and therefore its maximum value on each subinterval is achieved at the right endpoint. Thus, the upper Darboux integral is given by

[tex]$\int_0^b f(x)dx[/tex]  \sup\limits_{\mathcal{P}} \sum_=

[tex]{i=1}^n[/tex][tex]M_i(x_i - x_{i-1})[/tex] = [tex]lim_{|\mathcal{P}|\rightarrow 0} \sum_{i=1}^n f(x_i^)(x_i - x_{i-1}) [/tex][tex]{i=1}^n[/tex]

where $\mathcal{P}$ is a partition of [0,b] and $|\mathcal{P}|$ is the norm of the partition. Since $f(x) = [tex]x^3$[/tex]

is continuous on [0,b), we can apply Exercise 1.3 and Example 1 from chapter 1 to show that the limit above equals

f(x)= [tex]lim_{|\mathcal{P}|\rightarrow 0}[/tex][tex]sum_{i=1}^n (x_i^*)^3(x_i - x_{i-1})[/tex] = [tex]\frac{1}{4}b^4$[/tex]

Similarly, the lower Darboux integral can be computed using the left endpoint of each subinterval to get[tex]$\int_0^b [/tex]f(x)dx = [tex] \inf\limits_{\mathcal{P}} \sum_{i=1}^n[/tex][tex]m_i(x_i - x_{i-1})[/tex] =[tex] \lim_{|\mathcal{P}|\rightarrow 0} \sum_{i=1}^n (x_{i-1}^*)^3(x_i - x_{i-1}) = 0$[/tex]

Learn more about integral here:

https://brainly.com/question/18125359

#SPJ4

Buses arrive at the downtown bus stop and leave for the mall stop. Past experience indicates that 20% of the time, the interval between buses is 20 minutes; 40% of the time, the interval is 40 minutes; and 40% of the time, the interval is 2 hours. If I have just arrived at the downtown bus stop, how long, on the average, should I expect to wail for a bus?

Answers

If you have just arrived at the downtown bus stop, you should expect to wait about 26 minutes for a bus to arrive.

To calculate the expected waiting time, we need to find the weighted average of the waiting times for each interval, where the weights are the probabilities of each interval occurring.

Let t1, t2, and t3 be the waiting times for intervals of 20 minutes, 40 minutes, and 2 hours, respectively.

Then, we have:

t1 = 10 minutes (half the interval time)

t2 = 20 minutes (half the interval time)

t3 = 60 minutes (half the interval time)

The probabilities of each interval are 0.2, 0.4, and 0.4, respectively.

Therefore, the expected waiting time is:

E(waiting time) = 0.2 * t1 + 0.4 * t2 + 0.4 * t3

= 0.2 * 10 + 0.4 * 20 + 0.4 * 60

= 26 minutes

So, on average, you should expect to wait about 26 minutes for a bus to arrive.

Learn more about Probability:

brainly.com/question/24756209

#SPJ11

16. The height, h(t), of a projectile launched upward from an initial height of 80 feet off the ground is represented by the function h(t) = -16€ + 64t + 80 where t is the number of seconds that have passed since it was launched. What is the average rate of change from t= 1 to t = 2?16. The height, h(t), of a projectile launched upward from an initial height of 80 feet off the ground is represented by the function h(t) = -16 + 64t + 80 where t is the number of seconds that have passed since it was launched. What is the average rate of change from t = 1 to t = 2?

Answers

Answer: b. Solve the equation by factoring. 0=-16+2 -8 +120. 16€²+8E-120=0. 8(2²+E-15)=0. 8(2+-5) (++3)=0. 2=-5=0 =+3=0. + 5 t=-3. 2,5 seconds.

Step-by-step explanation:

NEED HELP A.S.A.P. The question is - ΔABC has vertices at (-4, 4), (0,0) and (-5,-2). Find the coordinates of points A, B and C after a reflection across y= x.

Point A': ___________

Point B': ___________

Point C': ___________

Answers

The coordinates of the reflected points are:

Point A': (4, -4)

Point B': (0, 0)

Point C': (-2, -5)

As we know that a point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

As per the question, given that ΔABC has vertices at (-4, 4), (0,0), and (-5,-2).

To find the coordinates of the reflected points, we need to swap the x and y-coordinates of each point.

Point A (-4, 4) becomes A' (4, -4)

Point B (0, 0) remains the same B' (0, 0)

Point C (-5, -2) becomes C' (-2, -5)

Therefore, the coordinates of the reflected points are:

Point A': (4, -4)

Point B': (0, 0)

Point C': (-2, -5)

To learn more about the transformations click here :

https://brainly.com/question/11352944

#SPJ1

#4 Which series of transformations correctly show that △CAT≅△DOG?
Select all that apply.

Answers

The series of transformations correctly show that △CAT≅△DOG is rotate ACAT 180° about the origin, the correct option is A.

We are given that;

△CAT≅△DOG

Now,

To show that ACAT and ADOG are congruent, we need to find a sequence of rigid transformations that maps one onto the other.

One possible sequence is:

This will map A to D, C to O, A to G, and T to O.

Translate the image 2 units left. This will align the image with ADOG.

Therefore, by transformation the answer will be rotate ACAT 180° about the origin.

Learn more about rigid transformations;

https://brainly.com/question/7070983

#SPJ1

A person is assuming responsibility for a $335 000 loan which should be repaid in 15 equal repayments of Sa, the first one immediately and the following after each of the coming 14 years. Find a if the annual interest rate is 14%.

Answers

Value of a is $52,427.69

To find the value of "a" in this situation, we can use the formula for the present value of an annuity:

PV = a * [1 - (1 + r)^(-n)] / r

where PV is the present value of the loan, a is the amount of each payment, r is the annual interest rate (expressed as a decimal), and n is the number of payments.

In this case, we know that PV = $335,000, r = 0.14, and n = 15. We want to solve for a.

Substituting these values into the formula, we get:

$335,000 = a * [1 - (1 + 0.14)^(-15)] / 0.14

Simplifying, we get:

a = $52,427.69

Therefore, the person assuming responsibility for this loan would need to make 15 equal payments of $52,427.69 each year for the next 15 years in order to repay the loan. The total amount paid would be $786,415.35, which includes both the principal amount of $335,000 and $451,415.35 in interest.

Interest ratehttps://brainly.com/question/1287808

#SPJ11

In a tennis tournament, each player wins k hundreds of dollars, where k is the number of people in the subtournament won by the player (the subsection of the tournament including the player, the player's victims, and their victims, and so forth; a player who loses in the first round gets $100). If the tournament has n contestants, where n is a power of 2, find and solve a recurrence relation for the total prize money in the tournament

Answers

The recurrence relation for the total prize money in the tournament is T(n) = 2T(n/2) + 100n, under the condition that tournament has n contestants, where n is a power of 2.



Let's us consider there are n players in the tournament where n is a power of 2. Each player wins k hundreds of dollars, where k is the number of people in the sub-tournament won by the player.

Let us present T(n) as the total prize money in a tournament with n players. We observe that  T(1) = 100 since there is only one player who loses in the first round and gets $100.

For n > 1, we can divide the tournament into two sub-tournaments each with n/2 players. Let's denote k as the number of people in a sub-tournament won by a player. Then we can see that k = n/2 for each player since each player wins one of two sub-tournaments.

Therefore, each player wins k hundreds of dollars where k = n/2. The total prize money for each sub-tournament is T(n/2). Therefore, we can write:

T(n) = 2T(n/2) + 100n

To learn more about recurrence relation

https://brainly.com/question/29586596

#SPJ4

calculate the slope of the line that contains the points (2, −8) and (−4, 4)?

Answers

⊂ Hey, islandstay ⊃

Answer:

Slope = -2

Step-by-step explanation:

Formula for Slope(m):

(y₂ - y₁) / (x₂ - x₁)

Solve:

(x₁, y₁) and (x₂, y₂)

(2₁, -8₁) and (-4₂, 4₂)

Now put it in the slope formula;

4 - (-8) / -4-2

12/-6

Slope(m) = -2

xcookiex12

4/20/2023

Write the rule of inference that validates the argument. 4. 1. PA-ST) .:P (MV-N) --P 2. PQ (MV-N) 3.

Answers

This is the contrapositive of the original statement PQ -> P, which allows us to conclude that the argument is valid.

The argument can be validated using the modus tollens rule of inference, also known as the law of contrapositive. This rule states that if we have a conditional statement of the form "If A, then B," and we know that B is false, we can infer that A must also be false.

In the given argument, we have two conditional statements:

(PA -> ST) -> ~(MV -> N) (premise)

PQ -> ~(MV -> N) (premise)

To use modus tollens, we start by assuming the negation of the conclusion we want to prove, which is P. Then, we use the second premise to infer that ~(MV -> N) must be true. Using the logical equivalence ~(p -> q) = p /\ ~q, we can rewrite this as MV /\ ~N.

Next, we can use the first premise to infer that if PA -> ST is true, then MV -> N must be false. Since we have already established that MV /\ ~N is true, we can conclude that PA -> ST must be false as well.

Finally, we use the second premise again to infer that PQ must be false. This is because if PQ were true, then ~(MV -> N) would also be true, which contradicts our previous conclusion.

Therefore, we have shown that if PQ is true, then P must be false. This is the contrapositive of the original statement PQ -> P, which allows us to conclude that the argument is valid.

Complete question: Write the rule of inference that validates the argument.

4.

1. [tex]\frac{P_A-(S \leftrightarrow T)}{\therefore P}$ $(M \vee-N) \rightarrow-P$[/tex]

2. [tex]$\frac{\neg P Q}{\therefore(M \vee-N) \rightarrow Q}$[/tex]

To learn more about conclusion visit:

https://brainly.com/question/78686

#SPJ11

9. Sketch the areas under the standard normal curve over the indicated interval, and find the specified area. between
z=0.32 and z=1.92
10. The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of five minutes and a standard deviation of two minutes. Find the probability that it takes at least eight minutes to find a parking space.
11. Find z such that 92% of the normal curve lies to the right of z

Answers

We have z ≈ -1.41 as the value such that 92% of the normal curve lies to the right of z.

9. To sketch the areas under the standard normal curve between z=0.32 and z=1.92, follow these steps:

Step 1: Draw a standard normal curve (a bell-shaped curve) with a mean of 0 and a standard deviation of 1.
Step 2: Mark the points z=0.32 and z=1.92 on the horizontal axis.
Step 3: Shade the area between z=0.32 and z=1.92.
To find the specified area between z=0.32 and z=1.92, use a standard normal table or a calculator with a normal distribution function to find the area to the left of z=1.92 and subtract the area to the left of z=0.32.

10. To find the probability that it takes at least eight minutes to find a parking space, follow these steps:
Step 1: Convert the time of 8 minutes to a z-score using the formula

z = (X - μ) / σ, where X is the time, μ is the mean, and σ is the standard deviation.
z = [tex]\frac{(8 - 5) }{2} =1.5[/tex]

Step 2: Use a standard normal table or a calculator with a normal distribution function to find the area to the right of z=1.5, which represents the probability of taking at least 8 minutes.

11. To find the z-score such that 92% of the normal curve lies to the right of z, follow these steps:
Step 1: Since 92% of the curve lies to the right, that means 8% of the curve lies to the left (100% - 92% = 8%).
Step 2: Use a standard normal table or a calculator with a normal distribution function to find the z-score corresponding to an area of 0.08 to the left. You will find that z ≈ -1.41.

So, z ≈ -1.41 is the value such that 92% of the normal curve lies to the right of z.

To know more about the z-score visit:

https://brainly.com/question/31613365

#SPJ11

Final Practice - Part 3
A population of 40 foxes in a wildlife preserve quadruples in size
every 10 years. The function y=40. 4*, where x is the number of
10-year periods, models the population growth. How many foxes
will there be after 20 years?
What are we Show work:
substituting
for x?
Answer:

Answers

After 20 years, the value of the fox population will be 640.

What is the population of the fox after 20 years?

The population of the fox after 20 years is calculated as follows;

The given function is;

y = 40 x 4ˣ

Where;

x is the number of 10-year periods

how many 10 years period make up 20 years?

x = 2

The value of the fox population is calculated as follows

y = 40 x 4²

y = 40 x 16

y = 640

Learn more about population growth here: https://brainly.com/question/25630111

#SPJ1

Please help me, I have been looking at this question for minutes!

Answers

Answer:

7x + 33 = 10x

3x = 33, so x = 11

These congruent alternate interior angles measure 110°.

The value of x in the parallel line is 11.

How to find the angles in parallel lines?

When parallel line are crossed by a transversal line, angle relationships are formed such as corresponding angles, alternate exterior angles, alternate interior angles, same side interior angles, vertically opposite angles etc.

Therefore, let's find the value of x using the angle relationship.

Hence,

7x + 33 = 10x (alternate interior angles)

33 = 10x - 7x

3x = 33

divide both sides by 3

x = 33 / 3

Therefore,

x = 11

learn more on angles here: https://brainly.com/question/28795639

#SPJ1

. HELP PLEASE will give 15 branily
What are the zeros of the following function?

Answers

The zeroes on the graph of the function are x = 1.5, x = -1, and x = 5.

We have,

Zeroes of a function refer to the values of the input variable (also known as the independent variable) that make the output of the function equal to zero.

In other words, they are the values of the input variable that result in a function output of zero.

Now,

From the graph,

The point at which the y-axis is zero are:

The blue line:

x = 1.5

The red line:

x = -1 and 5

Thus,

The zeroes on the graph of the function are x = 1.5, x = -1, and x = 5.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

Jeremy has a cylindrical case for his toothbrush that has a diameter of 30 millimeters and a height of 15 centimeters. Which of the following would be an appropriate unit of measure to describe the surface area of the case?
a. millimeters
b. square centimeters
c. cubic millimeters
d. cubic centimeters

Answers

The appropriate unit of measure to describe the surface area of the cylindrical case would be square centimeters (option b).

Type non Find the p-value for the hypothesis test. A random sample of size 53 is taken. The sample has mean of 424 and a standard deviation of 83. 10 points H0: u= 400 Ha: u = 400 The p-value for the hypothesis test is______
Your answer should be rounded to 4 decimal places,

Answers

The p-value for the hypothesis test is 0.0314.

To find the p-value for this hypothesis test, we can use a t-test since the population standard deviation is unknown.

The test statistic is calculated as:

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the hypothesized population mean under the null hypothesis, s is the sample standard deviation, and n is the sample size.

In this case, we have:

x = 424

μ = 400

s = 83

n = 53

So the test statistic is:

t = (424 - 400) / (83 / √53) ≈ 2.2071

To find the p-value, we need to compare this test statistic to the t-distribution with n-1 degrees of freedom (df = 52, in this case). Using a t-distribution table or calculator, we find that the probability of getting a t-value as extreme or more extreme than 2.2071 (in either direction) is approximately 0.0157.

Since this is a two-tailed test (Ha: u ≠ 400), we need to double this probability to get the p-value:

p-value = 2 * 0.0157 ≈ 0.0314

Therefore, the p-value for the hypothesis test is approximately 0.0314 (rounded to 4 decimal places).

Know more about p-value here:

https://brainly.com/question/13786078

#SPJ11

Bridgeton University claims to accept 42% of applicants. In a random sample of 1,000 Bridgeton University applicants, 392 were accepted. Calculate the 95% confidence interval and evaluate whether Bridgeton's claim seems accurate.

The interval is from 36.7% to 41.7%. Since the value of 42% does not lie in the interval, Bridgeton's claimed acceptance rate does not seem accurate.
The interval is from 36.2% to 42.2%. Since almost 40% of the sample was accepted, Bridgeton's claimed acceptance rate seems accurate.
The interval is from 36.2% to 42.2%. Since the value of 42% lies in the interval, Bridgeton's claimed acceptance rate seems accurate.
The interval is from 36.7% to 41.7%. Since only 40% of the sample was accepted, Bridgeton's claimed acceptance rate does not seem accurate.

Answers

If random sample of 1000 applicants, 392 applicants were accepted, then (c) interval is from 36.2% to 42.2%. Since value of 42% lies in interval, Bridgeton's claimed acceptance rate is accurate.

The "Confidence-Interval" is defined as "range-of-values" which contain the "true-value" of a population parameter with a certain probability.

To calculate the 95% confidence interval, we use the formula:

⇒ CI = p ± z × √((p(1-p))/n),

where : p = sample proportion (accepted applicants / total applicants)

⇒ z is = z-score associated with desired "level-of-confidence" (95% corresponds to z = 1.96)

⇒ n is = sample size = (1,000),

First, we calculate the "sample-proportion" (p) :

⇒ p = 392 / 1000 = 0.392,

Substituting the values,

We get,

⇒ CI = 0.392 ± 1.96 × √((0.392(1-0.392))/1000),

⇒ 0.392 ± 0.030,

So, the 95% confidence interval for the proportion of accepted applicants at Bridgeton University is (0.362, 0.422) = 36.2% to 42.2%.

Next, To evaluate whether Bridgeton's claim of accepting 42% of applicants seems accurate, we can check if the claim falls within the confidence interval.

The claim of 42% falls within the 95% confidence interval of (0.362, 0.422). So, acceptance rate claimed by Bridgeton is accurate.

Therefore, the correct option is (c).

Learn more about Confidence Interval here

https://brainly.com/question/15712887

#SPJ1

The given question is incomplete, the complete question is

Bridgeton University claims to accept 42% of applicants. In a random sample of 1,000 Bridgeton University applicants, 392 were accepted. Calculate the 95% confidence interval and evaluate whether Bridgeton's claim seems accurate.

(a) The interval is from 36.7% to 41.7%. Since the value of 42% does not lie in the interval, Bridgeton's claimed acceptance rate does not seem accurate.

(b) The interval is from 36.2% to 42.2%. Since almost 40% of the sample was accepted, Bridgeton's claimed acceptance rate seems accurate.

(c) The interval is from 36.2% to 42.2%. Since the value of 42% lies in the interval, Bridgeton's claimed acceptance rate seems accurate.

(d) The interval is from 36.7% to 41.7%. Since only 40% of the sample was accepted, Bridgeton's claimed acceptance rate does not seem accurate.

Translate the sentence into an inequality.



The difference of three times a number x and six is greater than or equal to the sum of fifteen and twenty-four times the number

Answers

The difference of three times a number x and six is greater than or equal to the sum of fifteen and twenty-four times the number is 3x-6≥15+24x

The difference of three times a number and six is greater than or equal to the sum of fifteen and twenty four times a number

Difference is subtraction and sum is nothing but addition

Let the number be x.

The given sentence is changed to the expression or inequality as given below.

3x-6≥15+24x

Hence, the difference of three times a number x and six is greater than or equal to the sum of fifteen and twenty-four times the number is 3x-6≥15+24x

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ1

Juan tiene 21 años menos que Andrés y sabemos que la suma de sus edades es 47. ¿Qué edad tiene cada uno de ellos?

Answers

Juan is 13 years old.

Andrés is 34 years old.

We have,

Let's assume that Juan's age is x.

Then, we know that Andrés' age is x + 21.

We also know that the sum of their ages is 47:

x + (x + 21) = 47

Simplifying the equation:

2x + 21 = 47

Subtracting 21 from both sides:

2x = 26

Dividing by 2:

x = 13

So Juan is 13 years old.

To find Andrés' age, we can substitute Juan's age into the equation we used earlier:

x + 21 = 13 + 21 = 34

Thus,

Juan is 13 years old.

Andrés is 34 years old.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

The complete question.

Juan is 21 years younger than Andrés and we know that the sum of their ages is 47. How old is each of them?

A rectangular prism is 7 feet wide and 7 feet high. Its volume is 98 cubic feet. What is the length of the rectangular prism?

Answers

The length of the rectangular prisms is L = 2ft

How to find the length of the rectangular prism?

We know that the volume of a rectangular prism of length L, width W, and height H is:

V = L*W*H

We know that:

V = 98 ft³

W = 7ft

H = 7ft

Replacing all that we will get:

98 ft³ = L*7ft*7ft

Solving this for L we will get:

(98 ft³)/(7ft*7ft) = L

2ft = L

Learn more about rectangular prisms at:

https://brainly.com/question/24284033

#SPJ1

Mr. Wells always buys a big container of erasers before school starts each year. On the first day of school, he gives each of his students an eraser he has randomly chosen from the container. School started today, and so far he has handed out 3 blue, 5 yellow, 4 purple, 2 red, and 7 green erasers.
Based on the data, what is the probability that the next eraser Mr. Wells hands out will be blue?

Answers

Answer:

We can use the concept of probability to determine the likelihood of Mr. Wells handing out a blue eraser next.

The probability of an event happening is equal to the number of favorable outcomes divided by the total number of possible outcomes. In this case, the favorable outcome is Mr. Wells handing out a blue eraser, and the total number of possible outcomes is the total number of erasers in the container.

To find the total number of erasers in the container, we can add up the number of erasers in each color:

3 + 5 + 4 + 2 + 7 = 21

Therefore, there are 21 erasers in the container.

To find the number of blue erasers in the container, we need to use the information given in the problem. We know that Mr. Wells has already handed out 3 blue erasers, so there must be some blue erasers left in the container. However, we do not know how many blue erasers are left.

Since we do not have enough information to determine the exact number of blue erasers left, we can assume that all the remaining erasers in the container are equally likely to be handed out next. This is known as the principle of equally likely outcomes.

Therefore, the probability of Mr. Wells handing out a blue eraser next is equal to the number of blue erasers in the container divided by the total number of erasers in the container:

P(blue eraser) = number of blue erasers / total number of erasers

We do not know the exact number of blue erasers, but we know that there are some blue erasers left. Therefore, the probability of Mr. Wells handing out a blue eraser next is greater than zero.

So, the answer to the question is:

The probability that the next eraser Mr. Wells hands out will be blue is greater than zero, but we cannot determine the exact probability without knowing the number of blue erasers left in the container.

William got an 85 and an 88 on the first two quizzes. What formula can William use to determine the score he needs on the third quiz to get an average of 90? What score does he need?

Answers

Therefore, William needs to score a 97 on the third quiz to get an average of 90.

Average: The arithmetic mean is calculated by adding a set of integers, dividing by their count, and then taking the result. For instance, the result of 30 divided by 6 is 5, which is the average of 2, 3, 3, 5, 7, and 10.

The average test score is calculated by dividing the total score on an assessment by the total number of test-takers. As an illustration, if three students each obtained test scores of 69, 87, and 92, their combined scores would be totaled together and divided by three to yield an average of 82.6.

William needs to score "x" on the third quiz to get an average of 90.

The average of three quizzes can be calculated using the formula:

average = (sum of scores) / (number of scores)

To get an average of 90, William's total score on all three quizzes needs to be:

90 x 3 = 270

His current total score from the first two quizzes is:

85 + 88 = 173

So, to reach a total score of 270, William needs to score:

270 - 173 = 97

Learn more about average score visit: brainly.com/question/29220030

#SPJ4

Solve the initial boundary value problem ut = 2uxx for x ∈ (-π, π], t ∈ [0, + [infinity]), ux(0, t) = ux,(1,t) = 0, for t ∈ [0, + [infinity]), u(x,0) = π^2 – π^2 for r ∈ [ -π, π]

Answers

The solution to the initial boundary value problem is u(x,t) = 1/π.

To solve the initial boundary value problem ut = 2uxx for x ∈ (-π, π], t ∈ [0, + [infinity]), ux(0, t) = ux,(1,t) = 0, for t ∈ [0, + [infinity]), u(x,0) = π^2 – π^2 for r ∈ [ -π, π], we can use the method of separation of variables.

Assume u(x,t) = X(x)T(t), then we have:

X''(x) + λX(x) = 0, T'(t) + 2λT(t) = 0

where λ is a separation constant. The general solution for the spatial equation is X(x) = A sin(nx) + B cos(nx), where n = sqrt(λ) and A, B are constants. Since u(0,t) = u(1,t) = 0, we have A = 0 and B cos(nπ) = 0, which implies n = kπ for k = 1, 2, 3, ... Thus, the spatial eigenfunctions are X_k(x) = cos(kπx), and the corresponding eigenvalues are λ_k = -(kπ)^2.

The time equation can be solved as T(t) = Ce^(-2λ_k t), where C is a constant. Therefore, the general solution for the initial boundary value problem is:

u(x,t) = Σ C_k cos(kπx) e^(-2(kπ)^2 t)

where the sum is taken over all k = 1, 2, 3, .... To determine the constants C_k, we use the initial condition u(x,0) = π^2 – π^2 = 0. This gives:

Σ C_k cos(kπx) = 0

Since the eigenfunctions form an orthogonal set on [-π, π], we can multiply both sides by cos(mπx) and integrate over [-π, π] to obtain:

C_m = 0 for m = 1, 2, 3, ...

Thus, the only non-zero constant is C_0, which can be determined using the normalization condition:

1 = ∫_(-π)^π (u(x,t))^2 dx = C_0^2 π^2

Therefore, C_0 = 1/π. Thus, the solution to the initial boundary value problem is:

u(x,t) = (1/π) cos(0πx) e^(-2(0π)^2 t) = 1/π e^0 = 1/π

In conclusion, the solution to the initial boundary value problem is u(x,t) = 1/π.

Learn more about boundary value problems: https://brainly.com/question/31497895

#SPJ11

What is 3 + 2 HELP then after add 3456 then subtract 45 and then divid 20

Answers

The simplify value of numeric expression, 3 + 2, after adding 3456 then subtracting 45 and then dividing by 20 is equals the 17.8.

We have an expression of numbers, 3 + 2 we have to apply some arithematic operations on it and determine the final simplfy value. Let the expression be x = 3 + 2, add 3456 in it

=> x = 3 + 2 + 3456

Substracts 45 from above expression

=> x = 3 + 2 + 3456 - 45

Dividing the above expression of x by 20

=>

[tex]\frac{ x } {20} = \frac{ 3 + 2 + 3456 - 45}{20}[/tex]

[tex]= \frac{3416}{20}[/tex]

= 17.8

Hence, required simplify value is 17.8.

For more information about expression, visit :

https://brainly.com/question/25968875

#SPJ4

13) What is the solution to the equation 2√x + 6-3 = 19?
a) -3
b) -1
c) 5
d) 7

Answers

The solution of the equation is 115.

What is the solution of the equation?

The solution of the equation is calculated as follows;

The equation: 2√(x + 6) - 3 = 19

Collect similar terms;

2√(x + 6)  = 19 + 3

2√(x + 6) = 22

Square 2 and add it into the root;

√(4(x + 6) = 22

square both sides;

4(x + 6) = 22²

4(x + 6) = 484

x + 6 = 484/4

x + 6 = 121

x = 121 - 6

x = 115

Learn more about equation here: https://brainly.com/question/2972832

#SPJ1

2 1/4kms = how many meters?

Answers

Answer:

2 1/4kms = how many meters?

2250 meters

Step-by-step explanation:

You're welcome.

Answer:

M = 2250

Step-by-step explanation:

First of all solve the mixed number which is 9/4 and as a decimal it is 2.25

Now as the meters it is....

2250!!!!

Hope this helps, have a great day!!!!!!

(Multiply 2.25 times 1000 and that gives you 2250)

The coordinates of points A and B are A(4, -2) and B(12, 10). What are the coordinates of the point that is of the way from A to B?
A (1,-0.5)
B. (6, 1)
C. (10,7)
D. (3,2.5)

Answers

Answer:

To find the point that is halfway between A(4, -2) and B(12, 10), we can find the average of the x-coordinates and the average of the y-coordinates.

average x-coordinate = (4 + 12)/2 = 8 average y-coordinate = (-2 + 10)/2 = 4

Therefore, the point that is halfway between A and B has the coordinates (8, 4), which is answer choice B.

Step-by-step explanation:

The dog shelter has Labradors, Terriers, and Golden Retrievers available for adoption. If P(terriers) = 15%, interpret the likelihood of randomly selecting a terrier from the shelter.

Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event

Answers

The likelihood of randomly selecting a terrier from the shelter is (g) unlikely

Interpreting the likelihood of randomly selecting a terrier from the shelter.

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

P(terriers) = 15%

When a probability is at 15% or less than 50%, it means that

The probability is unlikely or less likely

Hence, the true statement is (b) unlikely

Read more about probability at

https://brainly.com/question/24756209

#SPJ1

Other Questions
Who can be permitted access to classified data? Which of the following about planning for systems development is false? A) Project plans are developed for each new system and each system modification. Then, these project plans are combined together to form the master plan. B) A project development plan includes an economic feasibility analysis and a schedule of activities. C) The master plan identifies system goals, who will develop the system, and the resources that will be needed. D) The master plan includes details about organizational goals, existing systems and resources, projects being conducted, and predictions of future needs and requirements. When an object is dropped vertically from a platform, its height after seconds can be estimated with the formula shown.=0162 is the height of the object in feet.0 is the initial height of the object in feet. is the time in seconds after the drop.Which equation and solution tells how long it takes the object to reach a height of 96 feet if its initial height is 208 feet? What would display if the following statements are coded and executed and the user enters 3 twice at the prompts? What type of diet is Bittman advocating? Why does he think that the USDA ""is not our ally""? what phase of crisis occurs when defense mechanisms fail and involves trial-and-error attempts to solve the problem? For a current website, which of the following keyword rankings would be best for it to focus on to improve its ranking?A. rank of 14B. rank of 213C. rank of 84D. rank of 36 T/F The Earth Smart symbol is not a recognized standard, and it is not a reliable basis for decision-making during product selectio y=-x^2-4x-4 find y coordinate relative valuation has several advantages relative to other valuation techniques. which of the following is an advantage of relative valuation? The nurse is instructing a client with moderate persistent asthma on the proper method for using metered-dose inhalers (MDIs) and various types of medications. Which medication should the nurse advise the client to administer first?Beta agonistSteroidAnticholinergicMast cell stabilizer Which of the following phenomena is probably not related to the presence of a supermassive black hole? A) Quasars B) The radio emission from radio galaxies C) The huge jets seen emerging from the centers of some galaxies D) The presence of globular clusters in the halos of galaxies When the diaphragm contracts, _______. 1)A) it lifts the rib cageB) it rises in the thoracic cavityC) it flattens outD) it flattens out and it rises in the thoracic cavity a goldfish is swimming in water inside a spherical plastic bowl of index of refraction 1.33. if the goldfish is 10.0 cm from the wall of the 15.0-cm-radius bowl, where does the goldfish appear to an observer outside the bowl? In addition to goods and services, countries also _________ art, cultural events, medical advances, space exploration and labor Please help ASAP! I need to finish this TODAY What type of volcanic structure is Shiprock, New Mexico, and how did it form? Sacagawea was a good guide for Lewis and Clark for all the reasons except Compare the number of chromosomes between eukaryotes and prokaryotes a decision support system (dss) is an interactive information system designed to assist decision makers in an organization. a dss can offer a variety of interaction types depending on the variables being considered and the type of outcome the user is attempting to reach.