To solve this question, we need to determine the fraction of English teachers who have at least 5 years of experience.
1. First, we identify the number of English teachers with 5 to 10 years of experience and those with more than 10 years of experience from the provided table:
[tex]\[
\text{Number of English teachers with 5 to 10 years of experience} = 9
\][/tex]
[tex]\[
\text{Number of English teachers with more than 10 years of experience} = 2
\][/tex]
2. Next, we add these two numbers together to get the total number of English teachers with at least 5 years of experience:
[tex]\[
\text{Total number of English teachers with at least 5 years of experience} = 9 + 2 = 11
\][/tex]
3. We also identify the total number of English teachers from the table:
[tex]\[
\text{Total number of English teachers} = 15
\][/tex]
4. We now calculate the fraction of English teachers with at least 5 years of experience:
[tex]\[
\frac{\text{Total number of English teachers with at least 5 years of experience}}{\text{Total number of English teachers}} = \frac{11}{15}
\][/tex]
So, the fraction of English teachers who have at least 5 years of experience is [tex]\(\frac{11}{15}\)[/tex].
Among the given options, the correct choice is: (C) [tex]\(\frac{11}{15}\)[/tex].
