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Find the weighted average of these values:

\begin{tabular}{|c|c|}
\hline
Value & Weight \\
\hline
6.00 & [tex]$75.0 \%$[/tex] \\
\hline
7.00 & [tex]$15.0 \%$[/tex] \\
\hline
8.00 & [tex]$10.0 \%$[/tex] \\
\hline
\end{tabular}

Sagot :

GinnyAnswer
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.
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