Answer:
The average number of trials required to get the first success
Part A:
The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

and
are points on the function
You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:




Now, let's find the slopes for each of the sections of the function:
<u>Section A</u>

<u>Section B</u>

Part B:
In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

It is 25 times greater. This is because
is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.
Answer:
Below in bold.
Step-by-step explanation:
A.This is the number of combinations of 6 from 15
= 15C6
= 15! / (15-6)! 6!
= 5,005 ways.
B. This is the number of permutaions of 6 from 15:
= 15! / (15-6)!
= 3,603,600 ways.