To determine the value of [tex]\( x \)[/tex] (the percentage of people with red hair and green eyes) in the relative frequency table, we need to follow these steps:
1. Identify the given values:
- People with red hair and green eyes: 18
- People with red hair and eyes other than green: 29
- People with hair color other than red and green eyes: 114
- People with hair color other than red and eyes other than green: 650
2. Calculate the total number of observations:
- Sum all the given values:
[tex]\[
18 + 29 + 114 + 650 = 811
\][/tex]
- This tells us that there were 811 people observed in total.
3. Determine the percentage of people with red hair and green eyes:
- To find this percentage, use the formula:
[tex]\[
x = \left( \frac{\text{Number of people with red hair and green eyes}}{\text{Total number of observations}} \right) \times 100
\][/tex]
- Plug in the known values:
[tex]\[
x = \left( \frac{18}{811} \right) \times 100
\][/tex]
- Calculate the value of [tex]\( x \)[/tex]:
[tex]\[
x \approx 2.219482120838471 \%
\][/tex]
4. Round the result to the nearest whole percent:
- When rounded to the nearest whole number:
[tex]\[
x \approx 2\%
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] to the nearest whole percent is approximately [tex]\( 2\% \)[/tex]. This doesn't match any of the provided multiple-choice options, suggesting there might have been a typographical error in the options or an alternative answer might be considered.
