Amount of money earned per number of hours of work = 
<h3>What is a composite function?</h3>
- A composite function is generally a function that is written inside another function.
- Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”.
To evaluate a composite function f(g(x)) at some x = a, first compute g(a) by substituting x = a in the function g(x). Then substitute g(a) into the function f(x) by substituting x = g(a). In the same way, we can calculate g(f(a)) as well.
Required calculation -
Amount of money (the earning) per unit x = 
Number of gallons of ice cream that Barrett makes per hour, where x is the number of hours he works = 
we are to find the composite function 
Substituting g(x) into the x of f(x), we find:
To learn more about composite function from given link
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So finding the rope is kind of like finding the perimeter. Add 61+61+21+21 and you will get 164 feet.
Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation
Calculate z-scores for the following random variable and determine their probabilities from standard tables.
x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088
x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912
x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587
x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413
Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36
Answer: 27
Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36
Answer: 27
Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78
Answer: 204
Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150
Answer: 150
Answer: 101.69
Step-by-step explanation:
Formula we use to find the z-score :-
(1)
Given : 
Daniel's z score : z= 1.67
Let x be the raw score for Daniel's exam grade, then substitute the values of 
in (1), we get
Hence, the raw score for Daniel's exam grade = 101.69
