Question 8 (Multiple Choice Worth 1 points)
(04.03 MC)
Find the weighted average of the numbers -4 and 5 , with weight on the first number and on the second number.

0.0 .4
0.5

Ask by Bradley Goodwin. in the United States

Mar 13,2025

Question

Question 8 (Multiple Choice Worth 1 points)
(04.03 MC)
Find the weighted average of the numbers -4 and 5 , with weight on the first number and on the second number.

0.0 .4
0.5

Ask by Bradley Goodwin. in the United States

Mar 13,2025

UpStudy AI · Accepted Answer

1. The weighted average is given by
   $$
   \text{Weighted Average} = (-4) \times \frac{3}{5} + 5 \times \frac{2}{5}.
   $$

2. Compute each term:
   $$
   (-4) \times \frac{3}{5} = \frac{-12}{5}, \quad 5 \times \frac{2}{5} = \frac{10}{5} = 2.
   $$

3. Add the two results:
   $$
   \frac{-12}{5} + 2 = \frac{-12}{5} + \frac{10}{5} = \frac{-2}{5}.
   $$

4. Converting the fraction to a decimal gives:
   $$
   \frac{-2}{5} = -0.4.
   $$

Thus, the weighted average is $$-0.4$$.
The weighted average is $$-0.4$$.