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 can use the formula:

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

where:

• \(X = 15\)
• \(Y = 45\)
• \(w_X = 0.20\) (20%)
• \(w_Y = 0.80\) (80%)

Now, substituting the values:

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

Calculating the numerator:

\[ 15 \times 0.20 = 3 \] \[ 45 \times 0.80 = 36 \] \[ 3 + 36 = 39 \]

Calculating the denominator:

\[ 0.20 + 0.80 = 1.00 \]

Now putting it all together:

\[ \text{Weighted Average} = \frac{39}{1.00} = 39 \]

Thus, the weighted average is 39.