To find the weighted average of the given set of values, you need to follow these steps:
1. Understand the weights and values:
- The first value is 6.00 and its weight is 75.0%.
- The second value is 7.00 and its weight is 15.0%.
- The third value is 8.00 and its weight is 10.0%.
2. Convert the percentages into decimal form:
- 75.0% = 0.75
- 15.0% = 0.15
- 10.0% = 0.10
3. Multiply each value by its corresponding weight:
- [tex]\( 6.00 \times 0.75 = 4.50 \)[/tex]
- [tex]\( 7.00 \times 0.15 = 1.05 \)[/tex]
- [tex]\( 8.00 \times 0.10 = 0.80 \)[/tex]
4. Sum these products to get the weighted sum:
- [tex]\( 4.50 + 1.05 + 0.80 = 6.35 \)[/tex]
Therefore, the weighted average of the given values is 6.35.
