Answer:
Option C) 146.5
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 130 weeks
Standard Deviation, σ = 10 weeks
We are given that the distribution of completion time is a bell shaped distribution that is a normal distribution.
Formula:

P(X<x) = 0.95
We have to find the value of x such that the probability is 0.95
P(X < x)
Calculation the value from standard normal z table, we have,

The project should be completed in 146.5 weeks or less.
Hence, 146.5 weeks should be set the due date such that there is a 95 percent chance that the project will be finished by this time.
Answer:
4:7
Edit: I just saw the multiple choice options, in this case the right answer is:
<h2>
8:14</h2>
but they're both equal
Step-by-step explanation:
The ratio you are looking for is
freestyle laps : (freestyle + butterfly) laps
so:
8 : (6+8)
8:14
Divide by 2 to simplify
4:7
(3/8)³ = (3/8)(3/8)(3/8)
Multiply across:
(3/8) x (3/8) = 9/64
Simplify:
(9/64)(3/8) = 27/512
27/512 is your fraction answer (cannot be reduced).
To find the decimal answer, divide:
27/512 = 0.05
0.05 (rounded) is your decimal answer
hope this helps