we know that
Using the graph
For 
-----> 
For 
-----> 
the average rate of change is equal to
therefore
<u>the answer is</u>
the average rate of change is 
First off multiply -4 with what is inside the parentheses
-20h-20=-40
Now add 20 to both sides
-20h=-20
Now divided by -20
h=1
Answer:
Step-by-step explanation:
We want to determine a 95% confidence interval for the mean mean test score of students.
Number of sample, n = 25
Mean, u = 81.5
Standard deviation, s = 10.2
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z score ×standard deviation/√n
It becomes
81.5 ± 1.96 × 10.2/√25
= 81.5 ± 1.96/× 2.04
= 81.5 ± 3.9984
The lower end of the confidence interval is 81.5 - 3.9984 =77.5
The upper end of the confidence interval is 81.5 + 3.9984 = 85.5
Therefore, with 95% confidence interval, the mean test score of students is between 77.5 and 85.5
F(x) = 1.25(38 - x)
Finding the inverse of a function:
y = f(x)
y = 1.25(38 - x)
Solve for x:
y = 1.25(38 - x)
y/1.25 = 38-x
x = 38 - y/1.25
Switch x and y.
y = 38 - x/1.25
f^-1(x) = 38 - x/1.25
