Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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

Sagot :

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].