Question

find the weighted average of the numbers -5 and 4 with weight \frac{2}{3} on the first number and \frac{1}{3} on the second number. write your answer as a whole number or decimal. do not round.

Explanation:

Step1: Calculate the weighted value of the first number

Multiply the first number \(-5\) by its weight \(\frac{2}{3}\).
\(-5\times\frac{2}{3}=-\frac{10}{3}\)

Step2: Calculate the weighted value of the second number

Multiply the second number \(4\) by its weight \(\frac{1}{3}\).
\(4\times\frac{1}{3}=\frac{4}{3}\)

Step3: Sum the weighted values

Add the two weighted values together.
\(-\frac{10}{3}+\frac{4}{3}=\frac{-10 + 4}{3}=\frac{-6}{3}=-2\)

Answer:

\(-2\)