9. The supervisor of a call center would like to assemble a committee of 8 people from a staff of 15 call center agents
How many different committees can be chosen?
1. 120
2. 6,435
3. 32,432,400 4.259,459,200

Number of different committees that can be chosen = 6435

So,option 2 is correct

Step-by-step explanation:

The supervisor wants to assemble a committee of 8 people from a staff of 15 call center agents.

To solve this we will make use of the combination formula which is:

C(n, r) = n!/[r!(n - r)!]

Where n is population (or available number of people who can sit on the committee) and k, the number selected)

In this question, n = 15 and r = 8

So, we have;

C(15,8) = 15!/[8!(15 - 8)!]

This gives;

C(15,8) = 15!/(8! × 7!)

C(15,8) = 1307674368000/(40320 × 5040) = 6435

Number of different committees that can be chosen = 6435

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.