Answer:
A. 
B. 
C. 
D. 
Step-by-step explanation:
A. To solve the first part of the problem we must replace 
in the function 
So:
B. In part B we must find the inverse function of
To find the inverse function do 
Now clear the variable x.
Replace x with y.
Finally
C. Now we take the inverse function found above and replace
D. Now we substitute 
in the original function.
9514 1404 393
Answer:
133 1/3 km/hour
Step-by-step explanation:
Average speed is computed as ...
average speed = (total distance)/(total time)
= (80 km +120 km +200 km)/(2/3 + 1 + 1 1/3 hour) = 400 km/(3 hour)
= 133 1/3 km/hour
Answer: B. This student's test grade was 2.4 standard deviations above the mean test grade.
====================================================
Explanation:
The z score tells us how far away the raw score is from the mean. This distance is in terms of standard deviations.
- z = 1 means we're 1 standard deviation above the mean
- z = 2 means we're 2 standard deviations above the mean
and so on.
Negative z scores indicate the raw score is below the mean.
- z = -1 means we're 1 standard deviation below the mean
- z = -2 means we're 2 standard deviations below the mean
and so on. So that's why z = 2.4 indicates the students test grade was 2.4 standard deviations above the mean.
16 ...
Step-by-Step explanation:
6z - 2z
Substitute the value of z ,
=6×4-2×4
=24 - 8
=16
