Question

1 fill in the blank 1 point n weighted average what is the weighted average of the numbers -5 and 22 with weight \\( \frac { 7 } { 4 } \\) on the first number and \\( \frac { 1 } { 2 } \\) on the second number? weighted average = type your answer_

Explanation:

Step1: Calculate the weighted value of the first number

Multiply the first number \(-5\) by its weight \(\frac{7}{4}\).
\(-5\times\frac{7}{4}=-\frac{35}{4}=- 8.75\)

Step2: Calculate the weighted value of the second number

Multiply the second number \(22\) by its weight \(\frac{1}{2}\).
\(22\times\frac{1}{2} = 11\)

Step3: Sum the weighted values

Add the two weighted values together.
\(-8.75 + 11=2.25=\frac{9}{4}\)

Answer:

\(\frac{9}{4}\)