The mean number of hours that Raphael worked over the past four weeks is 36.75. If he works 39 hours this week, what will the mean number of hours be that he will have worked over the five-week period? ..... What is the five-week mean?

The mean number of hours that Raphael worked over the past four weeks is 36.75. If he works 39 hours this week, what will the mean number of hours be that he will have worked over the five-week period? ..... What is the five-week mean?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The mean number of hours that Raphael worked over the past four weeks is 36.75. If he works 39 hours this week, what will the mean number of hours be that he
will have worked over the five-week period?
.....
What is the five-week mean?
(Simplify your answer.)

Expert Solution

Step 1

Given the mean number of hours that Raphael worked over the past four weeks is $36.75$ and he works $39$ hours this week.

We have to find the mean number of hours be that he will have worked over the five-week period.

$\begin{matrix} Number of hours worked in past 4 weeks = 4 \times 36.75 \\ = 147 \end{matrix}$

Hence, $Number of hours worked in past 4 weeks = 147 hours$

Since, he works $39$ hours this week.

Hence, number of hours worked in $5^{t h}$ week is $39 h o u r s$ .

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