Question

Points X and Y are plotted on a number line at −10 and 2, respectively. Find the coordinate of the point that represents the weighted average of X and Y if X has a weight of 13 and point Y has a weight of 23 .

Answer 1

The coordinate that represents the weighted average of X and Y is -2.33.

Step-by-step explanation:

The weighted average of X and Y can be found using the formula:

Weighted average = (Weight of X * Coordinate of X + Weight of Y * Coordinate of Y) / (Weight of X + Weight of Y)

Substituting the values, we get:

Weighted average = (13 * (-10) + 23 * 2) / (13 + 23)

= (-130 + 46) / 36

= -84 / 36

= -2.33

Therefore, the coordinate that represents the weighted average of X and Y is -2.33.