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Home » A 36% reduction means 64% of the original variance remains. - Aurero

A 36% reduction means 64% of the original variance remains. - Aurero

📅 March 16, 2026 👤 scraface

Mar 16, 2026

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Rearranging gives \( x - 0.05x = 15 - 6 \), so \( 0.95x = 9 \).
Solving for \( x \) gives \( x = \frac{9}{0.95} \approx 9.47 \) grams.
#### 9.47
A tank initially contains 200 liters of water with 10 kg of dissolved...
Initial conditions: 10 kg of salt in 200 L → concentration = \( \frac{...
Inflow: \( 0.1 \, \text{kg/L} \times 5 \, \text{L/min} = 0.5 \, \text{...
Outflow: \( \frac{V(t)}{200} \times 0.1 \times 5 \, \text{L/min} = \fr...
Let \( S(t) \) be the salt in kg at time \( t \).
The differential equation is \( \frac{dS}{dt} = 0.5 - \frac{0.5S}{200}...
Solving gives \( S(t) = 10e^{-0.0025t} + 20(1 - e^{-0.0025t}) \).

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