Question

question 10(multiple choice worth 1 points) (04.03 mc) find the weighted average of the numbers 1 and 6, with weight \\(\frac{4}{5}\\) on the first number and \\(\frac{1}{5}\\) on the second number. \\(\bigcirc\\) 2 \\(\bigcirc\\) 6.2 \\(\bigcirc\\) 3 \\(\bigcirc\\) 28

Explanation:

Answer:

2

To find the weighted average, we use the formula: \( \text{Weighted Average} = w_1x_1 + w_2x_2 \), where \( w_1 = \frac{4}{5} \), \( x_1 = 1 \), \( w_2 = \frac{1}{5} \), and \( x_2 = 6 \).

Substitute the values into the formula:

\[

$$\begin{align*} \text{Weighted Average} &= \frac{4}{5}(1) + \frac{1}{5}(6) \\ &= \frac{4}{5} + \frac{6}{5} \\ &= \frac{4 + 6}{5} \\ &= \frac{10}{5} \\ &= 2 \end{align*}$$

\]