As a percent : 124%
As mixed fraction : 1 6/25
As improper fraction : 31/25
27 hours in the maximum hours
Answer:
Option A) 0.0074
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 110
Sample mean, 
= 20
Sample size, n = 100
Alpha, α = 0.05
Population standard deviation, σ = 115.35
First, we design the null and the alternate hypothesis
We use two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, we calculate the p-value from the standard normal table.
P-value = 0.0074
Thus, the correct answer is
Option A) 0.0074
Since the functions are not included, I can help you with some examples and a general explanations which will help you to solve this kind of problems.
1) Assumption: all the functions that are considered are linear.
That means that f(x) = x is the parent function, and you can obtain the other functions by a set of transformations (translation and scalation) of the parent function.
2) Example 1: y = x + a
This is a special case of adding a constant to the function.
In this case, the graph of the new function is the graph of the parent function shifted a units upward.
3) Example: y = 5x
This is a special case of multiplying the function times a constant.
The result is streching the graph vertically by the same scale factor.
4) Example: y = (1/5)x - 8
In this case, the graph of y is obtained by scaling the parent function f(x) = x by 1/5 (which results in compressing the parent function vertically) and shifting the parent function 8 units downward.
