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\( 3x + 5(20 - x) = 80 \) - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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Use the Law of Total Probability to find \( P(F) \):
P(F) = P(F|T)P(T) + P(F|M)P(M) = (0.25)(0.60) + (0.10)(0.40) = 0.15 +...
Apply Bayes’ Theorem:
P(T|F) = \frac{P(F|T)P(T)}{P(F)} = \frac{0.15}{0.19} \approx 0.7895
#### 0.79
A spherical balloon is being inflated such that its radius increases a...
Volume of a sphere:
Differentiate with respect to time \( t \):
\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}
Plug in \( r = 10 \) cm and \( \frac{dr}{dt} = 0.5 \) cm/s:

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