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dedylja [7]
3 years ago
5

Janet's paycheck was $248.60. She put 1/4 of her paycheck into a checking account and 1/5 of what was left to buy dinner for her

family. How much money does she have remaining from her paycheck? Show Work!
Mathematics
1 answer:
jekas [21]3 years ago
6 0

Janet has remaining $ 149.16 in her paycheck

<h3><u>Solution:</u></h3>

Given that Janet's paycheck was $248.60

She put 1/4 of her paycheck into a checking account

Therefore amount put into checking account is given as:

\text {amount put into checking account }=\frac{1}{4} \times 248.60=62.15

So she spent $ 62.15 into checking account

Now the remaining paycheck amount left is:

remaining paycheck amount left = 248.60 - 62.15 = 186.45

Therefore remaining paycheck amount left is $ 186.45

Now she spent 1/5 of what was left to buy dinner for her family

\text { Amount spend on dinner }= \frac{1}{5} \times 186.45 = 37.29

So she spent $ 37.29 on dinner

<u><em>Now the remaining paycheck amount left is:</em></u>

remaining paycheck amount left = 186.45 - 37.29 = 149.16

Thus Janet has remaining $ 149.16 in her paycheck

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<u>The complete question is</u>: One year Thomas had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at his​ school, with an ERA of 3.31. ​Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 3.02. For the​ males, the mean ERA was 4.837 and the standard deviation was 0.541. For the​ females, the mean ERA was 4.533 and the standard deviation was 0.539. Find their respective​ z-scores. Which player had the better year relative to their​ peers, or ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

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{Here, the mean ERA for the females was 4.533 and the standard deviation was 0.539}

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So, we can clearly see that Thomas had a lower ERA of z-score as -2.823 < -2.807. This means that Thomas had the better year relative to their​ peers.

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