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The store owner converts the frequency table to a conditional relative frequency table by row.

Beach Towel Sales

\begin{tabular}{|c|c|c|c|}
\cline { 2 - 4 }
\multicolumn{1}{c|}{} & Full Price & Discounted & Total \\
\hline
Month 1 & 0.98 & 0.02 & 1.0 \\
\hline
Month 2 & 0.96 & 0.04 & 1.0 \\
\hline
Month 3 & 0.808 & 0.192 & 1.0 \\
\hline
Total & [tex]$X$[/tex] & [tex]$Y$[/tex] & 1.0 \\
\hline
\end{tabular}

Which value should he use for [tex]$X$[/tex]? Round to the nearest hundredth.

A. 0.89
B. 0.90
C. 0.92
D. 0.96



Answer :

GinnyAnswer
To determine the value of \( X \), which represents the average percentage of full price sales over the three months, follow these steps:

1. Identify the percentages of full price sales for each month:
- Month 1: 0.98
- Month 2: 0.96
- Month 3: 0.808

2. Calculate the average of these percentages:
- Add the full price sales percentages for all three months: \( 0.98 + 0.96 + 0.808 \)
- Sum: \( 0.98 + 0.96 + 0.808 = 2.748 \)

3. Divide the sum by the number of months (3):
- Average percentage: \( \frac{2.748}{3} = 0.916 \)

4. Round the result to the nearest hundredth:
- Rounded value of \( 0.916 \) is \( 0.92 \)

Therefore, the value he should use for \( X \) is \( 0.92 \).

Among the given options, the correct value is:
- \( 0.92 \)


So, the store owner should use [tex]\( 0.92 \)[/tex] for [tex]\( X \)[/tex].

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