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Home » #### \( a = 2 \), \( b = 4 \), \( c = -30 \) - wispro

#### \( a = 2 \), \( b = 4 \), \( c = -30 \) - wispro

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 P(T) = 0.60, \quad P(M) = 0.40

📌 P(F|T) = 0.25, \quad P(F|M) = 0.10

📌 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 + 0.04 = 0.19

📌 Apply Bayes’ Theorem:

📌 P(T|F) = \frac{P(F|T)P(T)}{P(F)} = \frac{0.15}{0.19} \approx 0.7895

📌 A spherical balloon is being inflated such that its radius increases at a constant rate of 0.5 cm/s. At what rate is the volume increasing when the radius is 10 cm?

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