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ycow [4]
3 years ago
6

In Abbys office there are 42 men. The ratio of men to women in the office is 7.5. How many women are in the office?

Mathematics
1 answer:
natima [27]3 years ago
7 0
Solution to this question is, first we need to change the ratio of men to women is 7:5 y = 42y/x = 7/5
5y = 7xx = 5y/7x = (5 * 42)/ 7x = 30
The number of women in the office is 30.The answer is 30.
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General Idea:

To create a dot plot for a set of data we should list the data from lowest to greatest number. Then create a number line which covers all the numbers given in the data. We need to plot number of circles one above as many times based on the frequency of the data.

Applying the concept:

33, 36, 31, 37, 37, 38, 31, 37, 35, 31, 38, 32, 36, 33, 38

Listing the data in ascending order we get

31, 31, 31, 32, 33, 33, 35, 36, 36, 37, 37, 37, 38, 38, 38

We need to plot <u>three </u>circles above 31, <u>one</u> circle above 32, <u>two</u> circles above 33, <u>one</u> above 35, <u>two </u>above 36, <u>three </u>above 37, and <u>three</u> above 38.

Conclusion:

Out of the four options, the <u>correct option is B </u>because that is the only dot plot representing the given set of data.

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We know that, Amount in Compound interest is given by :

\bigstar \ \ \boxed{\sf{Amount = Principal\bigg(1 + \dfrac{Rate \ of \ Interest}{100}\bigg)^{Time \ Period}}}

Given : Principal = $2000

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\implies \sf{Rate \ of \ Interest = \dfrac{R}{4} = \dfrac{5}{4}}

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Substituting all the values in the formula, we get :

\implies \sf{Amount = 2000\bigg(1 + \dfrac{\dfrac{5}{4}}{100}\bigg)^{100}}

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\implies \sf{Amount = 2000 \times 3.463}}

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