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Home » \(25 + b^2 = 169\) - Coaching Toolbox

\(25 + b^2 = 169\) - Coaching Toolbox

📅 May 3, 2026 👤 scraface

May 03, 2026

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Thus, the square of the sum of the roots is:
Question: The functions \( f(x) = x^2 - 3x + k \) and \( g(x) = x^2 -...
For \( f(x) \):
\[ f(3) = 3^2 - 3 \cdot 3 + k = 9 - 9 + k = k \]
For \( g(x) \):
\[ g(3) = 3^2 - 3 \cdot 3 + 2k = 9 - 9 + 2k = 2k \]
Since \( f(3) = g(3) \), we have:
\[ k = 2k \]
\[ 0 = k \]
Question: Solve for \( b \): If \( b + c = 12 \) and \( b^2 + c^2 = 74...

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P(k) = \binom{n}{k} p^k (1 - p)^{n - k}
Substitute the values:
P(2) = \binom{4}{2} (0.3)^2 (0.7)^2 = 6 \cdot (0.09) \cdot (0.49) = 6...
Thus, the probability that exactly two of the four rolls result in a n...
\boxed{0.2646}
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At least **one pair of consecutive identical letters
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