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Home » Differentiate \(y = \sin(3x)\) with respect to \(x\). - High Altitude Science

Differentiate \(y = \sin(3x)\) with respect to \(x\). - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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P(X \geq 5) = 0.0774144 + 0.0172032 + 0.0016384 = 0.096256
\boxed{0.096256}
Question: A chemical engineer tests 6 independent algae samples for bi...
Solution: This is a binomial probability problem with $ n = 6 $, $ p =...
$ P(0) = \binom{6}{0} (0.3)^0 (0.7)^6 = 1 \cdot 1 \cdot 0.117649 = 0.1...
$ P(1) = \binom{6}{1} (0.3)^1 (0.7)^5 = 6 \cdot 0.3 \cdot 0.16807 = 0....
$ P(2) = \binom{6}{2} (0.3)^2 (0.7)^4 = 15 \cdot 0.09 \cdot 0.2401 = 0...
P(X < 3) = 0.117649 + 0.302526 + 0.324135 = 0.74431
\boxed{0.74431}
Question: A mix of 5 AI models and 3 human analysts sit around a circu...

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