Math Problem Statement

Would you like me to continue with detailed computation and derive the weights?

Solution

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Math Problem Analysis

Mathematical Concepts

Weighted Averages
Proportions
Linear Equations

Formulas

Weighted average formula: (w1 * x1 + w2 * x2 + ... + wn * xn) / (w1 + w2 + ... + wn)
Sum of weights equals 1 in normalized systems

Theorems

Normalization theorem for weighted averages
Linearity in weighting systems

Suitable Grade Level

College Level or Advanced High School