Answer:
8190 ways
Step-by-step explanation:
Given


Selection


Required
Number of ways of selection
4 students can be selected from 15 students in:

Similarly.
5 teachers can be selected from 6 teachers in:

So, the required number of selection is:

Apply combination formula:







From what I can tell, the inequality is:
40 + .5t ≤ 70
Is that one of your options?
Answer: it will take 5 people 6.4 hours to do the work.
Step-by-step explanation:
The number of hours required to do a job varies inversely as the number of people working. Let h represent the number of hours required to do the job. Let p represent the number of people working. Therefore,
h is inversely proportional to p
Introducing a constant of variation, k, it means that
h = k/p
It takes 8 hours for 4 people to paint the inside of a house. Therefore
8 = k/4
k = 8×4 = 32
The formula becomes
h = 32/p
To determine how many hours it will take 5 people to do the work, we will substitute p = 5 into the formula. It becomes
h = 32/5 = 6.4 hours
a. The average value of
on the given interval is

b. Solve for
:
