In a random sample of 200 cars of a particular model, 3 have a manufacturing defect. At this rate, how many of the 10,000 cars of the same model will have a manufacturing defect?
Correct answer: A. 150
- A. 150
- B. 200
- C. 250
- D. 300
Explanation
Choice A is correct. The fraction of the cars in the random sample that have a manufacturing defect is 3/200 = 0.015. At this rate, out of 10,000 cars, there would be 0.015 × 10,000 = 150 cars that have a manufacturing defect.
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About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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