There is a margin of error on a food survey of + / - 5%. What is the range of the number of students who do not want hot dogs if 83 of 127 students said they did not want hot dogs on Wednesdays and there are 900 students at the school? A. 529 to 617 students B. 559 to 647 students C. 559 to 617 students D. 559 to 600 students

Question

Mathematics

Ashly Hendrix

2 October, 06:08

There is a margin of error on a food survey of + / - 5%. What is the range of the number of students who do not want hot dogs if 83 of 127 students said they did not want hot dogs on Wednesdays and there are 900 students at the school? A. 529 to 617 students B. 559 to 647 students C. 559 to 617 students D. 559 to 600 students

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Coleman · Answer 1

83/127 = x/900

127x = 74700

x = 74700/127

x = 588.1 rounds to 588

588 - 0.05 (588) = 558.6 rounds to 559

588 + 0.05 (588) = 617.4 rounds to 617

range is C. 559 to 617