To find the joint relative frequency for teachers who teach math and not English, you'll need to follow these steps:
1. Identify the number of teachers who teach math and not English from the given table. According to the table, there are 22 teachers categorized under teaching Math but not English.
2. Determine the total number of teachers from the table. The total number of teachers is 104.
3. Calculate the joint relative frequency by dividing the number of teachers who teach math and not English by the total number of teachers. Then, multiply by 100 to convert the ratio into a percentage.
The formula for joint relative frequency is:
[tex]\[ \text{Joint Relative Frequency} = \left( \frac{\text{Number of Teachers (Math, Not English)}}{\text{Total Number of Teachers}} \right) \times 100 \][/tex]
Plugging in the numbers:
[tex]\[ \text{Joint Relative Frequency} = \left( \frac{22}{104} \right) \times 100 \][/tex]
4. Round the answer to the nearest whole percent.
Given the numerical result from our calculation, the joint relative frequency for teachers who teach math and not English is:
[tex]\[ 21\% \][/tex]
So, the correct answer is:
[tex]\[ 21\% \][/tex]
