To find the weighted average of the numbers [tex]\(-3\)[/tex] and [tex]\(5\)[/tex] with [tex]\(\frac{3}{5}\)[/tex] of the weight on the first number and [tex]\(\frac{2}{5}\)[/tex] on the second number, follow these steps:
1. Identify the numbers and their respective weights:
- The first number is [tex]\(-3\)[/tex] with a weight of [tex]\(\frac{3}{5}\)[/tex].
- The second number is [tex]\(5\)[/tex] with a weight of [tex]\(\frac{2}{5}\)[/tex].
2. Multiply each number by its respective weight:
- For the first number:
[tex]\[
-3 \times \frac{3}{5} = -\frac{9}{5} = -1.8
\][/tex]
- For the second number:
[tex]\[
5 \times \frac{2}{5} = \frac{10}{5} = 2
\][/tex]
3. Sum the weighted values to get the weighted average:
[tex]\[
-1.8 + 2 = 0.2
\][/tex]
Thus, the weighted average of the numbers [tex]\(-3\)[/tex] and [tex]\(5\)[/tex] with the given weights is:
0.2
Among the given answer choices:
- 4.8
- 1.8
- 0.2
- -1.8
The correct answer is 0.2.
