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question 11 (multiple choice worth 1 points) (04 03r mc) find the weigh…

Question

question 11 (multiple choice worth 1 points) (04 03r mc) find the weighted average of the numbers 1 and 5 with \\( \frac { 1 } { 4 } \\) of the weight on the first number and \\( \frac { 3 } { 4 } \\) on the second number. 0.25 1 2 4

Explanation:

Step1: Apply weighted average formula

The weighted average formula is \( \text{Weighted Average}=\sum_{i = 1}^{n}x_{i}w_{i}\), where \(x_{i}\) are the values and \(w_{i}\) are the weights. Here \(x_1 = 1\), \(w_1=\frac{1}{4}\), \(x_2 = 5\), \(w_2=\frac{3}{4}\).

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Step2: Calculate each term

First term: \(1\times\frac{1}{4}=\frac{1}{4}= 0.25\). Second term: \(5\times\frac{3}{4}=\frac{15}{4}=3.75\)

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Step3: Sum the terms

$$ LATEXBLOCK2 $$

Answer:

4