Question
Find the weighted average of J=0 and K=8 with a ratio of 1:3 .(1 point)Responses6.256.2544886.5
Answers
GPT-4o mini
To find the weighted average of J = 0 and K = 8 with a ratio of 1:3, you can use the formula for weighted average:
\[
\text{Weighted Average} = \frac{(J \times w_1) + (K \times w_2)}{w_1 + w_2}
\]
where \( w_1 \) and \( w_2 \) are the weights corresponding to J and K, respectively. Here, \( w_1 = 1 \) and \( w_2 = 3 \).
Substituting in the values:
\[
\text{Weighted Average} = \frac{(0 \times 1) + (8 \times 3)}{1 + 3}
\]
Calculating the numerator:
\[
0 \times 1 = 0
\]
\[
8 \times 3 = 24
\]
Thus, the numerator is:
\[
0 + 24 = 24
\]
Now for the denominator:
\[
1 + 3 = 4
\]
So, the weighted average is:
\[
\text{Weighted Average} = \frac{24}{4} = 6
\]
Therefore, the weighted average of J = 0 and K = 8 with a ratio of 1:3 is **6**.
\[
\text{Weighted Average} = \frac{(J \times w_1) + (K \times w_2)}{w_1 + w_2}
\]
where \( w_1 \) and \( w_2 \) are the weights corresponding to J and K, respectively. Here, \( w_1 = 1 \) and \( w_2 = 3 \).
Substituting in the values:
\[
\text{Weighted Average} = \frac{(0 \times 1) + (8 \times 3)}{1 + 3}
\]
Calculating the numerator:
\[
0 \times 1 = 0
\]
\[
8 \times 3 = 24
\]
Thus, the numerator is:
\[
0 + 24 = 24
\]
Now for the denominator:
\[
1 + 3 = 4
\]
So, the weighted average is:
\[
\text{Weighted Average} = \frac{24}{4} = 6
\]
Therefore, the weighted average of J = 0 and K = 8 with a ratio of 1:3 is **6**.