Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

In a large school, it was found that:

- \(80\% \) of students are taking a math class.
- \(77\% \) of students are taking an English class.
- [tex]\(77\% \)[/tex] of students are taking both.

Sagot :

GinnyAnswer
To solve this problem, let's find the percentage of students taking either a math class, an English class, or both. We can use the Addition Rule for probabilities, which states:

[tex]\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \][/tex]

Here, \( P(A \cup B) \) represents the probability (or percentage) of students taking either Math or English. \( P(A) \) is the percentage of students taking Math, \( P(B) \) is the percentage of students taking English, and \( P(A \cap B) \) is the percentage of students taking both Math and English.

Given:
- Percentage of students taking Math (\( P(A) \)): \( 80\% \)
- Percentage of students taking English (\( P(B) \)): \( 77\% \)
- Percentage of students taking both Math and English (\( P(A \cap B) \)): \( 77\% \)

We can substitute these values into the Addition Rule formula to find the percentage of students taking either Math or English:

[tex]\[ P(A \cup B) = 80\% + 77\% - 77\% \][/tex]

Perform the arithmetic:

[tex]\[ P(A \cup B) = 80\% \][/tex]

Thus, the percentage of students taking either a Math class or an English class or both is:

[tex]\[ 80\% \][/tex]

In conclusion:
- Percentage of students taking Math: \( 80\% \)
- Percentage of students taking English: \( 77\% \)
- Percentage of students taking both Math and English: \( 77\% \)
- Percentage of students taking either Math or English or both: [tex]\( 80\% \)[/tex]
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.