To calculate the weighted average of points A and B, you can use the formula:
\[ \text{Weighted Average} = \frac{(A \times w_A) + (B \times w_B)}{w_A + w_B} \]
where \( w_A \) and \( w_B \) are the weights for points A and B respectively.
Here, \( A = 7 \), \( B = 21 \), \( w_A = 0.6 \) (for A), and \( w_B = 0.4 \) (for B).
Now, plug the values into the formula:
\[ \text{Weighted Average} = \frac{(7 \times 0.6) + (21 \times 0.4)}{0.6 + 0.4} \]
Calculating the numerator:
\[ 7 \times 0.6 = 4.2 \] \[ 21 \times 0.4 = 8.4 \]
Adding these results together:
\[ 4.2 + 8.4 = 12.6 \]
The denominator:
\[ 0.6 + 0.4 = 1 \]
So, the weighted average is:
\[ \text{Weighted Average} = \frac{12.6}{1} = 12.6 \]
Thus, the weighted average is 12.6.
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