Let x denote daily work hours. suppose that for the sample of workers you have, the average daily work hours are 8 hours, with a standard deviation of 5. suppose now let z denote weekly work hours, find the mean and standard deviation for z (assuming everyone works 5 days per week in your sample).

The mean for Z is 40.

The standard deviation for Z is 25.                      

Step-by-step explanation:

We are given the following in the question:

X:  daily work hours.

The average daily work hours are 8 hours, with a standard deviation of 5.

Z denote weekly work hours.

We have to find the mean and standard deviation for Z.

The mean for Z is 40.

We use the property:

Thus, the standard deviation for Z is 25.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: