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Home » x^2 + 2x - 6 = 0 - Coaching Toolbox

x^2 + 2x - 6 = 0 - Coaching Toolbox

📅 May 3, 2026 👤 scraface

May 03, 2026

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$ \mu_y = 78 $, $ \sigma_y = 5 $
$ r = 0.6 $
$ x = 90 $
The regression line of $ y $ on $ x $ is:
y = \mu_y + r \cdot \frac{\sigma_y}{\sigma_x} (x - \mu_x)
y = 78 + 0.6 \cdot \frac{5}{6} \cdot (90 - 84)
y = 78 + 0.6 \cdot \frac{5}{6} \cdot 6 = 78 + 0.6 \cdot 5 = 78 + 3 = 8...
The predicted technical score is $\boxed{81}$.
Question: In a biotechnology experiment, a bacterial culture grows suc...
We are given the exponential growth model:

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