Answer:
Gym A is growing faster
Gym A gained 13 members between months 2 and 4
Gym B gained 10 members between months 2 and 4
Step-by-step explanation:
Gym A: (2,20) (4,46)
rate of change = (46-20)/(4-2) = 26/2 or 13
Gym B: (2,40) (4,60)
rate of change = (60-40)/(4-2) = 20/2 or 10
Answer:
Step-by-step explanation:
This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr
i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.
I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.
Recall that

Consider question a) we are given (5 1) or ₅C₁
we can see that n = 5 and r = 1
If we substitute this into the formula:
₅C₁ = (5!) / [ (1!)(5- 1)!]
= (5!) / [ (5- 1)!]
= (5!) / (4!)
= (5·4·3·2·1) / (4·3·2·1)
= 5
hence ₅C₁ = 5
The volume of a cylinder is pi*r^2*h
The radius is half the diameter, so 40/2=20, and the radius is 20 ft.
Plugging in: pi*20^2*32=pi*400*32=12800pi=40212.38597
So the volume is about 40212.4 ft^3 and the expression we used is pi*20^2*32
Hope this helped!
It should be 8 people.
16% of 100 people is 16 people.
16+28+48=92
100-92= 8 people