College Math Placement Practice Test

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Get ready for your College Math Placement Test. Test your knowledge with quizzes, flashcards, and problem-solving, complete with hints and explanations. Start your preparation today!

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How many gears are expected to function properly if 6000 gears are produced with a failure rate of 0.15%?

3000 gears
5100 gears
5910 gears
5991 gears

The correct answer is: 5991 gears

To determine how many gears are expected to function properly, we first need to calculate the number of gears that are likely to fail. The failure rate provided is 0.15%, which means that for every 100 gears produced, 0.15 gears are expected to fail. To find out how many gears fail out of 6000, we first convert the percentage into a decimal for calculation purposes: 0.15% = 0.0015 Now, we can multiply the total number of gears (6000) by the failure rate (0.0015): Number of failing gears = 6000 * 0.0015 = 9 This means that out of the 6000 gears produced, approximately 9 gears are expected to fail. To find the number of gears that are expected to function properly, subtract the number of failing gears from the total number of gears produced: Number of functioning gears = Total gears - Failing gears = 6000 - 9 = 5991 Thus, the expected number of gears that will function properly is 5991. This is why the correct answer is the option indicating that 5991 gears are expected to function properly.