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