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2 years ago

An analyst is creating a graph to show the salaries

Mathematics

2 answers:

Bond [772]2 years ago

6 0

Answer:

EDGE 2020 is A

Step-by-step explanation:

I answered and got it right

Rom4ik [11]2 years ago

3 0

Answer:

The answer is A. a histogram

Step-by-step explanation:

Hope this helps.

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Two families went to Rollercoaster World. The Brown family paid 170 for 3 children and 2 adults. The Peckham family paid 360 for

cestrela7 [59]

Answer: the system of equations are

3x + 2y = 170

4x + 6y = 360

Step-by-step explanation:

Let x represent the price of a child's ticket in dollars.

Let y represent the price of an adult's ticket in dollars.

The Brown family paid 170 for 3 children and 2 adults. This would be expressed as

3x + 2y = 170

The Peckham family paid 360 for 4 children and 6 adults. This would be expressed as

4x + 6y = 360

3 0

2 years ago

When Val checks her cable bill, she is shocked by her movie-rental bill for the month. Renting movies costs $2.99 for each movie

astraxan [27]

Answer:

She should buy the monthly plan for the unlimited movies rather than pay $2.99 per movie. This is because, the more she pay that amount for each movie, the higher her expenses would become at the end of each month.

For example, let assume, in a month, she 8 free days (Saturday and Sunday). She paying for each movie each of those days would supersede the amount she could have spent assuming she did the unlimited monthly plan of $7.99.

That notwithstanding other days which will feel like watching movies or the public holidays which she would be free to relax.

Step-by-step explanation:

3 0

2 years ago

The time for a visitor to read health instructions on a Web site is approximately normally distributed with a mean of 10 minutes

klio [65]

Answer:

a) The mean is 10 and the variance is 0.0625.

b) 0.6826 = 68.26% probability that the mean time of the visitors is within 15 seconds of 10 minutes.

c) 10.58 minutes.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Normally distributed with a mean of 10 minutes and a standard deviation of 2 minutes.

This means that $\mu = 10, \sigma = 2$

Suppose 64 visitors independently view the site.

This means that $n = 64, = \frac{2}{\sqrt{64}} = 0.25$

a. The expected value and the variance of the mean time of the visitors.

Using the Central Limit Theorem, mean of 10 and variance of (0.25)^2 = 0.0625.

b. The probability that the mean time of the visitors is within 15 seconds of 10 minutes.

15 seconds = 15/60 = 0.25 minutes, so between 9.75 and 10.25 seconds, which is the p-value of Z when X = 10.25 subtracted by the p-value of Z when X = 9.75.

X = 10.25

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{10.25 - 10}{0.25}$

$Z = 1$

$Z = 1$ has a p-value of 0.8413.

X = 9.75

$Z = \frac{X - \mu}{s}$

$Z = \frac{9.75 - 10}{0.25}$

$Z = -1$

$Z = -1$ has a p-value of 0.1587.

0.8413 - 0.1587 = 0.6826.

0.6826 = 68.26% probability that the mean time of the visitors is within 15 seconds of 10 minutes.

c. The value exceeded by the mean time of the visitors with probability 0.01.

The 100 - 1 = 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327.

$Z = \frac{X - \mu}{s}$

$2.327 = \frac{X - 10}{0.25}$

$X - 10 = 2.327*0.25$

$X = 10.58$

So 10.58 minutes.

6 0

2 years ago

The solutions to the linear differential equation d2u/dt2 = u form a vector space (since combinations of solutions are still sol

maw [93]

Serious high school. This is one of the few differential equations I can solve.

The usual particular solution is $u=e^t$ because $e^t$ is its own derivative.

An independent solution is $u=e^{-t}$ which has a negative sign in the first derivative which turns back to positive in the second.

The arbitrary linear combination spans the solution space:

$u= c_1 e^t + c_2 e^{-t}$

But we only are asked for the basis.

Answer: $\textrm{. } \quad e^t, \quad e^{-t}$

5 0

2 years ago

Two square rooms have a total floor of 89m^2.one room is 3m longer each way than the other,find the dimensions of the rooms

Katen [24]

Thank you for posting your question here at brainly. Below is the solution. I hope the answer will help you.

 x ( x+4) = 45 

5m X 5m AND 8m X 8m

5) x ( x+6) = 135

x^2 +6x -135 = 0 

( x-9) ( x+15) = 0 

x = 9 

ANSWER 9 & 15

8 0

2 years ago

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