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Home » Use the Law of Total Probability to find \( P(F) \): - AMAZONAWS

Use the Law of Total Probability to find \( P(F) \): - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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#### 70.65
A particle moves along a straight line with its position at time \( t...
Velocity is the derivative of position, \( v(t) = \frac{ds}{dt} \).
So, \( v(t) = \frac{d}{dt}(t^3 - 6t^2 + 9t) = 3t^2 - 12t + 9 \).
At \( t = 4 \), \( v(4) = 3(4)^2 - 12(4) + 9 \).
Calculating gives \( v(4) = 48 - 48 + 9 = 9 \).
If \( \log_b(64) = 3 \), find the value of \( b \).
The equation \( \log_b(64) = 3 \) implies \( b^3 = 64 \).
Solving for \( b \) gives \( b = \sqrt[3]{64} = 4 \).
Solve for \( x \) in the equation \( 2x^2 - 3x - 5 = 0 \).

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