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vitfil [10]
3 years ago
13

The random variable X has mean 12 and standard deviation 3. The random variable W is defined as W = 7+2X. What are the mean and

standard deviation of W?
A. The mean is 24, and the standard deviation is 6.
B. The mean is 24, and the standard deviation is 13.
C. The mean is 31, and the standard deviation is 3.
D. The mean is 31, and the standard deviation is 6.
E. The mean is 31, and the standard deviation is 13.
Mathematics
1 answer:
coldgirl [10]3 years ago
7 0

Answer:

Mean=X=12

SD=3

W=7+2X

Mean(W)=7+2Mean(X)

Mean(W)=7+2(12)

=7+24=31

SD(W)=2SD(X)

SD(W)=2(3)=6

Ans: D

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4 0
3 years ago
For the graphed function f(x) = −(5)x − 3 + 2, calculate the average rate of change from x = 3 to x = 4.
azamat

Answer:

-4 is the average rate of change from 3 to 4

Step-by-step explanation:

Average rate of change is defined as the fraction of change in f(x) value to change in x value.

Here we have x values as 3 and 4.

To find the average rate of change from x=3 to x=4

Average rate of change = change in f(x)/change in x

f(4) = -5^{4-3} +2 = -3\\f(3) = 1\\f(4)-f(3) = -3-1 =-4

Change in x = 4-3 =1

6 0
3 years ago
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alekssr [168]

Answer:

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Step-by-step explanation:

4 0
3 years ago
-2 4/5 + 1/4 equals what ?
vlada-n [284]
Hey there! :)

Since 2 4/5 is greater than 1/4, the answer is negative.

You can just subtract 2 4/5 and 1/4 and add the (-) sign

2 4/5 - 1/4

Change the fractions so they can have a common denominator: 20

2 4/5 = 2 16/20

1/4 = 5/20

2 16/20 - 5/20 = 2 11/20

Add the (-) sign → -2 11/20

Answer ⇒ -2 11/20

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3 years ago
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Answer:

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Step-by-step explanation:

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