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Home » Total number of ways to choose 3 vials from 6: - Simpleprint

Total number of ways to choose 3 vials from 6: - Simpleprint

📅 March 16, 2026 👤 scraface

Mar 16, 2026

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📌 x < \sqrt{1000} \approx 31.62

📌 Since \( x \) must be a positive multiple of 3, we consider the multiples of 3 that are less than 31.62: \( 3, 6, 9, \ldots, 30 \). The largest multiple of 3 less than 31.62 is 30. To verify:

📌 30^2 = 900 < 1000

📌 Thus, the largest possible value of \( x \) is \(\boxed{30}\).

📌 Question:** A mechanical engineer is designing a component for an HVAC system. The component must fit between two points that are \( 4\pi \) and \( 10\pi \) units apart. How many whole numbers lie within this interval?

📌 Solution:** First, approximate the interval endpoints using \( \pi \approx 3.14 \):

📌 4\pi \approx 4 \times 3.14 = 12.56

📌 10\pi \approx 10 \times 3.14 = 31.4

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