Final answer:
To calculate the weighted average, multiply each number by its weight and add the results together. The weighted average of -4 and 5 with weights of three-fifths and two-fifths is -0.4.
Step-by-step explanation:
To find the weighted average of the numbers -4 and 5 with weights of three-fifths and two-fifths respectively, you multiply each number by its corresponding weight and then sum the results:
- (-4) × (3/5) = -2.4
- 5 × (2/5) = 2
Now, add the weighted numbers:
-2.4 + 2 = -0.4
Therefore, the weighted average of -4 and 5 with given weights is -0.4.