Question

question 3 (multiple choice worth 4 points) (04.03b mc) find the weighted average of the numbers 0 and 4, with a weight of \\(\frac{1}{3}\\) on the first number and \\(\frac{2}{3}\\) on the second number. 2.2 2.7 3.3 3.5

Explanation:

Step1: Calculate the weighted value of the first number

Multiply the first number \(0\) by its weight \(\frac{1}{3}\): \(0\times\frac{1}{3} = 0\)

Step2: Calculate the weighted value of the second number

Multiply the second number \(4\) by its weight \(\frac{2}{3}\): \(4\times\frac{2}{3}=\frac{8}{3}\approx2.7\)

Step3: Sum the weighted values

Add the two weighted values together: \(0+\frac{8}{3}=\frac{8}{3}\approx2.7\)

Answer:

\(2.7\)