Answer:
65% of the marbles are red.
Step-by-step explanation:
I will show all the steps to lead to the solution.
1) 10b = 5 (√c + 2) <---- starting equation
2) divide by 5 => 2 b = √c + 2
3) subtract 2 => 2b - 2 = √c
4) raise to the power 2 => (2b - 2)^2 = c, which is the expression given.
Now these are two equivalent forms:
1) extract 2 from the parentheses: c = 4 (b -1)^2
2) expand the parentheses: c = 4b^2 - 8b + 4)
You just have to multiply 1/4 times 16.
1/4 = 0.25
So 0.25 * 16 = 4
≈ 4 times
Answer:
0.195
0.191
Step-by-step explanation:
Given that :
μ = 4
Using poisson :
P(x) = (e^-μ * μ^x) ÷ x!
P(x = 3) = (e^-4 * 4^3) / 3!
= (0.0183156 * 64) / 6
= 0.1953664
= 0.195
b. What is the probability that he will sell at most 5 policies in two weeks period?
Mean per week = 4
Mean in two weeks = 4 * 2 = 8
P(x ≤ 5) = p(5) + p(4) +... + p(0)
Using the poisson distribution calculator :
P(x ≤ 5) = 0.19124
= 0.191
12% off of 32, because the price is lower than it would be if 17% was taken off of 35