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max2010maxim [7]
3 years ago
8

Paul can choose to be paid $50 for a job or he can be paid 12.50 per hour. Underwhat circumstances should he choose the hourly w

age? Explain
Mathematics
1 answer:
Advocard [28]3 years ago
8 0
Option 1: $50
Option 2: $12.50 per hour.

50 ÷ 12.50 = 4

Paul can choose the hourly wage if he works more than 4 hours.
For example, he works 5 hours.

12.50 x 5 hours = 62.50

$62.50 is higher than the fixed rate of $50. Thus, hourly wage is the better option.
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Your company is considering submitting a bid on a major project. You determine that the expected completion time is 130 weeks an
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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:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(X<x) = 0.95

We have to find the value of x such that the probability is 0.95

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 130}{10})=0.95  

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 130}{10} = 1.645\\x = 146.45 \approx 146.5  

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.

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