Answer:
, it is the amount of money earned per number of hours of work, x
Step-by-step explanation:
Here we have two functions:
This function represents the amount of money (the earning) per unit x
Then we have the function
which represents the number of gallons of ice cream that Barrett makes per hour, where x is the number of hours he works.
Here we want to find the composite function
which means that we use the output of 
as input for 
. In this context, this means that the function represents the amount of money earned per number of hours of work, x.
Substituting g(x) into the x of f(x), we find:
Answer:
0.0359
Step-by-step explanation:
Data provided:
mean values of three independent times are 15, 30, and 20 minutes
the standard deviations are 2, 1, and 1.6 minutes
Now,
New Mean = 15 + 30 + 25 = 65
Variance = ( standard deviation )²
or
Variance = 2² + 1² + 1.6² = 7.56
therefore,
Standard deviation = √variance
or
Standard deviation = 2.75
Thus,
Z-value = 
or
Z-value = - 1.81
from the Z-table
the Probability of Z ≤ -1.81 = 0.0359
Answer:
0.60
Step-by-step explanation:
Use binomial probability.
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
The probability of a mistake on at least one page is 1 minus the probability of making no mistakes.
P(at least 1) = 1 − P(none)
P = 1 − ₁₁C₀ (0.08)⁰ (0.92)¹¹⁻⁰
P = 1 − (0.92)¹¹
P = 0.60
