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xeze [42]
2 years ago
14

Euguene sold half his books and then bought 17 more he now has 30

Mathematics
1 answer:
FromTheMoon [43]2 years ago
6 0

Answer:

E started with 26 books, sold 13 books, bought 17 more books, and ended with 30 books

Step-by-step explanation:

E has _ books: x

E Sells 1/2 of that _ books: x/2

E buys 17 books and now had 30: (x/2) + 17 = 30

30 - 17 = 13

13 x 2 = 26

x/2 = 26

13 + 17 = 30       <-- checking work

My guess is that x = 13

You didn't clarify what exactly you are looking for but I hope this helps clarify some steps of the problem anyway!

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The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The
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The standard deviation of the frequency distribution is 5.54

<h3>How to determine standard deviation?</h3>

The table of values is given as:

x     f(x)

0-3 13

4-7  13

8-11 10

12-15 11

16-19 0

20-23 3

Rewrite the table by calculating the class midpoints:

x     f(x)

1.5 13

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9.5 10

13.5 11

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Start by calculating the mean using:

\bar x = \frac{\sum fx}{\sum f}

This gives

\bar x = \frac{1.5 * 13 + 5.5 * 13 + 9.5 * 10 + 13.5 * 11 + 17.5 * 0 + 21.5 * 3}{13 + 13 + 10 + 11 + 0 +3}

Evaluate

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The standard deviation is then calculated as:

\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f }}

So, we have:

\sigma= \sqrt{\frac{13 * (1.5 - 7.98)^2 + 13  * (5.5 - 7.98)^2 + (9.5 - 7.98)^2 * 10 + (13.5 - 7.98)^2 * 11 + (17.5 - 7.98)^2 * 0 + (21.5 - 7.98)^2 * 3}{13 + 13 + 10 + 11 + 0 +3}}

Evaluate

\sigma= \sqrt{30.6496}

Solve

\sigma= 5.54

Hence, the standard deviation is 5.54

Read more about standard deviation at:

brainly.com/question/15858152

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1 year ago
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