Question

question 1 - 4
a number line with points p and q are shown.
if point p has a weight of \\( \frac { 2 } { 5 } \\) and point q has a weight of \\( \frac { 3 } { 5 } \\), what is the weighted average of points p and q?

Explanation:

Step1: Recall the weighted - average formula

The weighted - average formula is \(x=\frac{w_1x_1 + w_2x_2}{w_1 + w_2}\), where \(w_1\) and \(w_2\) are the weights and \(x_1\) and \(x_2\) are the values. Here, \(x_1 = 10\), \(w_1=\frac{2}{5}\), \(x_2 = 15\), \(w_2=\frac{3}{5}\).

Step2: Substitute the values into the formula

$$
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$$

Answer:

\(13\)