Scores of 70, 75, 80, and 85 are weighted at 10%, 20%, 30%, and 40%.(1 point)The weighted average score is .?

Answer 1

To calculate the weighted average score, you need to multiply each score by its corresponding weight and then sum those products. Finally, you divide by the total of the weights.

Here's how to do it step-by-step:

1. Multiply each score by its weight:

   • \( 70 \times 0.10 = 7 \)
   • \( 75 \times 0.20 = 15 \)
   • \( 80 \times 0.30 = 24 \)
   • \( 85 \times 0.40 = 34 \)

2. Sum these products: \[ 7 + 15 + 24 + 34 = 80 \]

3. Sum the weights: \[ 0.10 + 0.20 + 0.30 + 0.40 = 1.00 \]

4. Divide the total sum of the weighted scores by the total sum of the weights: \[ \text{Weighted Average} = \frac{80}{1.00} = 80 \]

Therefore, the weighted average score is 80.