Company X randomly surveyed 25 employees about the number of days they took off last year. The table above shows the results of the survey. If the survey results are representative of all 225 employees at Company X, what is a reasonable estimate of the number of employees who took off 16 or more days last year?

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17-08-2022
Mathematics

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Company X randomly surveyed 25 employees about the number of days they took off last year. The table above shows the results of the survey. If the survey results are representative of all 225 employees at Company X, what is a reasonable estimate of the number of employees who took off 16 or more days last year?

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joaobezerra joaobezerra · Answer 1 · 2022-08-23T18:50:28+02:00

Using proportions, it is found that a reasonable estimate of the number of employees who took off 16 or more days last year is:

9n, in which n is the number of employees who took off 16 or more days of vacation last year in the sample.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In this problem, from a sample of 25 employees, n who took off 16 or more days of vacation last year. Hence, out of 225 employees, the estimate is given as follows:

225 x n/25 = 9n.

More can be learned about proportions at https://brainly.com/question/24372153

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