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Home » The work is given by the line integral: - Abbey Badges

The work is given by the line integral: - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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So, the probability is:
\frac{\binom{14}{3}}{\binom{15}{4}} = \frac{\frac{14 \cdot 13 \cdot 12...
Final probability:
\boxed{\frac{4}{15}}
Question: A philosopher of science is analyzing 10 major scientific re...
We calculate the complementary probability (that neither of the top 2...
Total number of ways to choose 3 revolutions from 10:
Number of ways to choose 3 revolutions excluding the top 2 (i.e., choo...
So, the probability that neither of the top 2 is selected is:
\frac{56}{120} = \frac{7}{15}

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Re-read the problem: "rotates in precise increments" — so discrete.
So the only way is to find smallest m such that 45m is divisible by 18...
45m ÷ 18 = (45/18)m = 2.5m → so m must be even for 2.5m integer.
Let m = 2k → angle = 45×2k = 90k → multiple of 90 → invalid.
So no solution? But that can't be.
Alternative interpretation: "not a multiple of 90" means that the angl...
But 135 is divisible by 45 — candidates: 45, 135, 225, 315, 405, 495,...
Which of these are divisible by 18?
/ 18 = 2.5 → no
/ 18 = 7.5 → no

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