ExplanationSince x is rounded to the nearest integer (3), the actual percentage could be anything between

2.5% and 3.4999...%, because all of these numbers would round to 3.

Find the number of people that could be represented by these two extremes:

2.5% of 1150 people or \(0.025 \times 1150 = 28.75\) people

3.4999......% of 1150 people or \(0.03499 \times 1150 = 40.24\) people.

Hence 30, 35, 40 are possible options.

Hence option C, D and E are correct.
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Sandy

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