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A school's survey of 500 students found that 125 students play sports after school. There is a margin of error of ±5. Using this data, it is estimated that, of
the total students, a minimum of 480 students would play sports after school. What is
the total number of students in the school?
O 1,000
1,846
1,920
2,000

Respuesta :

zordanil

Answer:

4th option, 2000.

Step-by-step explanation:

To find the total number of students in the school, we can use the margin of error to estimate the maximum number of students who play sports after school.

Given that the survey found that 125 students play sports after school and there is a margin of error of ±5, the minimum number of students who play sports after school would be 125 - 5 = 120.

If we assume that all 480 students (the estimated minimum number of students who play sports after school) are included in the original survey of 500 students, we can find the estimated maximum number of students who play sports after school.

Let's denote the total number of students in the school as "x." According to the given information, we have the following equation:

120 / 500 = 480 / x

To solve for x, we can cross-multiply and solve the equation:

120x = 500 * 480

x = (500 * 480) / 120

x = 2000

Therefore, the total number of students in the school is 2,000. So the correct answer is 2,000.

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