So when the pool is filled by the two hoses together in 30 minutes, the larger hose itself fills 30/40 = 3/4 of the pool. That means in those 30 minutes the smaller hose fills 1/4 of the pool; and that means it would take the smaller hose 30*4 = 120 minutes to fill the pool alone.
Answer:
a) Computing the expected value E(XY) gives 1/4
b) The probability density function fZ(z) of Z = XY is calculated in the attached picture.
c) Computing E(Z) gives 1/4
Step-by-step explanation:
Comparing the computation of E(Z) using the answer to b), it shows that the values are equal.
A = P(1+r/n)^(nt)
133,000 = 98,000(1+x/1)^(1(5))
1.36 = (1+x)^5
1.063 = 1+x
x = .063 or 6.3%
the answer would be B because if you imput the variables the equation comes out equal.