Question
Find the weighted average of J=0 and K=8 with a ratio of 1:3 .(1 point) Responses 6.25 6.25 4 4 8 8 6.5
Answers
GPT-4o mini
To find the weighted average of J=0 and K=8 with a ratio of 1:3, we can use the formula for the weighted average:
\[
\text{Weighted Average} = \frac{(J \times w_1) + (K \times w_2)}{w_1 + w_2}
\]
Here, \(w_1\) and \(w_2\) are the weights in the ratio. In this case, \(w_1 = 1\) and \(w_2 = 3\).
Plugging in the values:
\[
\text{Weighted Average} = \frac{(0 \times 1) + (8 \times 3)}{1 + 3}
\]
Calculating the numerator:
\[
0 + 24 = 24
\]
Calculating the denominator:
\[
1 + 3 = 4
\]
Now, divide the two:
\[
\text{Weighted Average} = \frac{24}{4} = 6
\]
So, the weighted average is **6**. However, among your responses, 6 is not listed. The closest response available is **6.25**, and there seems to be a minor discrepancy regarding the options. Please double-check or clarify if there's an additional factor or correction needed in the problem.
\[
\text{Weighted Average} = \frac{(J \times w_1) + (K \times w_2)}{w_1 + w_2}
\]
Here, \(w_1\) and \(w_2\) are the weights in the ratio. In this case, \(w_1 = 1\) and \(w_2 = 3\).
Plugging in the values:
\[
\text{Weighted Average} = \frac{(0 \times 1) + (8 \times 3)}{1 + 3}
\]
Calculating the numerator:
\[
0 + 24 = 24
\]
Calculating the denominator:
\[
1 + 3 = 4
\]
Now, divide the two:
\[
\text{Weighted Average} = \frac{24}{4} = 6
\]
So, the weighted average is **6**. However, among your responses, 6 is not listed. The closest response available is **6.25**, and there seems to be a minor discrepancy regarding the options. Please double-check or clarify if there's an additional factor or correction needed in the problem.