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On its blog, the student council reported that 4.8% of the 895 students have a pet hamster. Julian said that 45 students have a pet hamster. Is 45 students a reasonable estimate? Justify your answer.

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Answer:

To determine if 45 students having a pet hamster is a reasonable estimate, we can use the given information that 4.8% of the 895 students have a pet hamster.

First, let's calculate the expected number of students with a pet hamster based on the given percentage:

Expected number = (4.8/100) * 895 students

Expected number ≈ 42.96 students

The expected number of students with a pet hamster is approximately 42.96 students.

Now, let's compare this expected number with the estimated number of 45 students.

Since 45 is slightly higher than the expected number of around 42.96 students, it is reasonable to conclude that 45 students having a pet hamster is a reasonable estimate.

It's important to note that when dealing with percentages and estimating values, it's common to have decimal values that need to be rounded. In this case, rounding the expected number to the nearest whole number, we get 43, which is close to the estimated value of 45.

Therefore, based on the given information and calculations, 45 students having a pet hamster is a reasonable estimate.

Explanation:

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