Answer: P = 8/15
Explanation:
There are 30 contact in total
And there are 16 contacts are people he met at school
P = 16/30 = 8/15
We are given 3 equations. Using these equations we can find f(h(2)).
h(x)=7x-5
h(2)=7(2)-5
h(2)=14-5
h(2)=9
f(x)=x^2-7
f(h(2))=(7x-5)^2-7
we know the answer for h(2) by now, so we can substitute for that.
f(9)=9^2-7
f(9)=81-7
f(9)=74
so f(h(2))=74
Since the die is 6 sided, there’s a 1/6 chance he’ll roll a 2. If we divided 100 by 6, it is a 17% success rate.
24 x 17% is 4.08.
He will probably roll successfully 4 times out of 24
Double check: 4/24 can be simplified to 1/6, which is the original probability.