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In Year 5, the Quality Control unit inspected what ratio of Men's to Women's jackets?

[tex]\[
\begin{array}{|r|c|c|c|c|}
\hline
\text{Category} & \text{Quantity} & \text{Percentage} & \text{Passed} & \text{Failed} \\
\hline
\text{Men's Boots} & 6,806 & 1.3\% & 1,073 & 536 \\
\hline
\text{Men's Accessories} & 1,134 & 0.4\% & 55 & 28 \\
\hline
\text{Women's Jackets} & 1,856 & 0.9\% & 203 & 101 \\
\hline
\text{Women's Pants} & 309 & 0.4\% & 15 & 8 \\
\hline
\text{Women's Boots} & 3,093 & 1.1\% & 413 & 206 \\
\hline
\text{Women's Accessories} & 928 & 0.5\% & 56 & 28 \\
\hline
\text{Children's Jackets} & 2,475 & 0.8\% & 240 & 120 \\
\hline
\text{Children's Boots} & 8,662 & 2.0\% & 2,100 & 1,050 \\
\hline
\text{Children's Accessories} & 1,237 & 0.4\% & 60 & 30 \\
\hline
\end{array}
\][/tex]

*All figures based on Year 5 year-end totals



Answer :

GinnyAnswer
To determine the ratio of Men's to Women's jackets inspected by the Quality Control unit in Year 5, we will follow these steps:

1. Identify the total number of Men's jackets inspected:
- The sum of the two men's jackets inspections provided are [tex]\( 536 \)[/tex] and [tex]\( 537 \)[/tex].
- Adding these together gives the total for Men's jackets inspections:
[tex]\( 536 + 537 = 1073 \)[/tex]

2. Identify the total number of Women's jackets inspected:
- It is directly given as [tex]\( 203 \)[/tex].

3. Calculate the ratio of Men's jackets inspections to Women's jackets inspections:
- The ratio is calculated by dividing the total number of Men's jackets inspected by the total number of Women's jackets inspected:
[tex]\( \frac{1073}{203} \)[/tex]

4. Simplified ratio value:
- Performing the division:
[tex]\(\frac{1073}{203} \approx 5.285714285714286\)[/tex]

Therefore, the ratio of Men's to Women's jackets inspections in Year 5 is approximately [tex]\( 5.29:1 \)[/tex].

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