Which inequality is shown in the graph?

In 2016, the mean score on the AP Art History exam was 3.8, with a standard deviation of 1.2. The mean score on the AP English e

Ulleksa [173]

Answer:

$X+Y \sim N(\mu_X +\mu_Y , \sqrt{\sigma^2_X +\sigma^2_Y})$

The mean is given by:

$\mu = 3.8+2.9= 6.7$

And the standard deviation would be:

$\sigma =\sqrt{1.2^2 + 1.7^2} = 2.08$

And the distribution for X+Y would be:

$X+Y \sim N(6.7 , 2.08)$

And the best answer would be:

D.) Mean, 6.7; standard deviation, 2.08

Step-by-step explanation:

Let X the random variable who represent the AP Art History exam we know that the distribution for X is given by:

$X \sim N(3.8, 1.2)$

Let Y the random variable who represent the AP English exam we know that the distribution for X is given by:

$X \sim N(2.9, 1.7)$

We want to find the distribution for X+Y. Assuming independence between the two distributions we have:

$X+Y \sim N(\mu_X +\mu_Y , \sqrt{\sigma^2_X +\sigma^2_Y})$

The mean is given by:

$\mu = 3.8+2.9= 6.7$

And the standard deviation would be:

$\sigma =\sqrt{1.2^2 + 1.7^2} = 2.08$

And the distribution for X+Y would be:

$X+Y \sim N(6.7 , 2.08)$

And the best answer would be:

D.) Mean, 6.7; standard deviation, 2.08

8 0

3 years ago

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Please help for gods sake:(

worty [1.4K]

Answer:

answer is b)

Step-by-step explanation:

please mark me brainliest

6 0

3 years ago

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Find the values of the variables. [Start 2 By 3 Matrix 1st Row 1st Column a plus 7 2nd Column 2 z plus 1 3rd Column 3 m 2nd Row

goldfiish [28.3K]

Answer:

a=2, z= 4.75, m=4, k=3

Step-by-step explanation:

$\begin{equation*} \begin{pmatrix}a+7 & 2z+1 & 3m \\6k & 5 & 1\end{pmatrix} + \begin{pmatrix}12a & 6z & 5m \\7k & 4 & 2\end{pmatrix} = \begin{pmatrix}33 & 39 & 32 \\39 & 9 & 3\end{pmatrix} \end{equation*}$

In Matrix Addition, each element in corresponding position is added.

In Matrix Equality, elements in the same position are equal.

Applying these two principles

a+7+12a=33

13a=33-7

13a=26

a=2

2z+1+6z=39

8z=39-1

8z=38

z= 4.75

3m+5m=32

8m=32

m=4

6k+7k=39

13k=39

k=3

Therefore:

a=2, z= 4.75, m=4, k=3

5 0

3 years ago

Amy tutors math. For each hour that she tutors, she earns dollars.

skelet666 [1.2K]

The equation to find Amy's earning after tutoring for 15 hours is 300 dollars.

<h3>How to find an equation?</h3>

She earn 20 dollars for each hours she tutors.

E = earnings in dollars

H = hours of tutoring

The equation relating E and H are as follows:

E = 20H

Therefore, the equation to find Amy's earning after tutoring for 15 hours is as follows;

E = 20H

E = 20 × 15

E = 300 dollars

Therefore, Amy's tutoring for 15 hours is 300 dollars.

learn more on expression here: brainly.com/question/14492671

#SPJ1

5 0

1 year ago

Sandy is 6 inches taller than Marie. If Marie

Zarrin [17]

If Marie is 5 inches that Would make sandy 11 inches. So for every odd inch that Marie may be add 6 inches to represent Sandy”s height. I hope this somewhat helps or gives you an idea of what to do

5 0

4 years ago

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