Answer:
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.
Answer:
24?
Step-by-step explanation:
Step-by-step explanation:
the average rate of change is
(f(x2) - f(x1)) / (x2 - x1)
so, for x = 1 and 2
(4×3² - 4×3¹) / (2 - 1) = 36 - 12 = 24
for x = 3 and 4
(4×3⁴ - 4×3³) / (4 - 3) = 324 - 108 = 216
so the second rate is 216/24 = 9 times greater than the first rate.
Answer:

Step-by-step explanation:
The given expression is :

We need to rewrite it in the form of
.
We know that, 
So,

So,
. Hence, this is the required solution.
Answer:
71º
I would give an explanation, but it sound like you could use this answer sooner than later.