To estimate how many students in the entire school prefer orange sherbet based on the survey results, you can use the ratio from the survey and apply it to the total student population.
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Survey Results:
- Total students surveyed: 130
- Students who prefer orange sherbet: 10
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Calculating the proportion: \[ \text{Proportion for orange sherbet} = \frac{10}{130} \]
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Total students in the school:
- Total students in the school: 528
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Estimate the number of students who prefer orange sherbet: \[ \text{Estimated number of students} = \text{Total students} \times \text{Proportion for orange sherbet} \] \[ = 528 \times \frac{10}{130} \] \[ = 528 \times \frac{1}{13} \] \[ = 528 \div 13 \approx 40.615 \text{ (which we round to 41)} \]
Therefore, approximately 41 students in the school prefer orange sherbet.
The correct answer is d. 41.