Points X=15 and Y=45 are on a number line. If X is weighted at 20% and Y at 80%, what is the weighted average?(1 point)

Answer 1

To calculate the weighted average of points X and Y, you use the formula:

\[ \text{Weighted Average} = (X \cdot w_X) + (Y \cdot w_Y) \]

where \( w_X \) is the weight for X and \( w_Y \) is the weight for Y.

Given:

• \( X = 15 \)
• \( Y = 45 \)
• \( w_X = 0.20 \)
• \( w_Y = 0.80 \)

Now, substitute these values into the formula:

\[ \text{Weighted Average} = (15 \cdot 0.20) + (45 \cdot 0.80) \]

Calculating each term:

\[ 15 \cdot 0.20 = 3 \] \[ 45 \cdot 0.80 = 36 \]

Now add these two results:

\[ \text{Weighted Average} = 3 + 36 = 39 \]

Thus, the weighted average is \( \boxed{39} \).