Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Certainly! Let's go through each part of the problem step-by-step.
### Given Data:
- Total students in the class: [tex]\(\pi\)[/tex]
- Number of students who play football: 6
- Number of students who play title turns: 1
- Number of students who play both games: 5
### Part (a): Illustrate the Venn Diagram
1. Determine the number of students who play only football:
- Students who play football but not title turns are obtained by subtracting those who play both from those who play football.
- Only Football = Total Football - Both Games
[tex]\[ \text{Only Football} = 6 - 5 = 1 \][/tex]
2. Determine the number of students who play only title turns:
- We are given that Students who play title turns is 1. To find those who play only title turns, we subtract those who play both from this total.
- Only Title Turns = Total Title Turns - Both Games
[tex]\[ \text{Only Title Turns} = 1 - 5 = -4 \][/tex]
Since the number of students cannot be negative, this indicates a mistake in the provided numbers. Therefore, we assume it includes those who play both, so the only students playing title turns exclusively would be:
[tex]\[ \text{Only Title Turns} = 1 (including those who play both) \][/tex]
3. Number of Students who play at least one of the games:
- Add the students who play only football, only title turns, and both.
[tex]\[ \text{At least one} = \text{Only Football} + \text{Only Title Turns} + \text{Both} \][/tex]
[tex]\[ \text{At least one} = 1 + (-4) + 5 = 2 \][/tex]
4. Number of Students who play more than one game:
- By definition, this is the number of students who play both games.
[tex]\[ \text{More than one} = 5 \][/tex]
### Part (b): Find the number of students who play at least one or more of the games.
- From our calculations above:
[tex]\[ \text{At least one} = 2 \][/tex]
### Summary of Results
- Total number of students: [tex]\(\pi\)[/tex] (approximately 3.14 rounded for practical purposes).
- Students who play only football: 1
- Students who play only title turns: -4 (which doesn't make sense in real scenarios and suggests an issue with the original data)
- Students who play at least one game: 2
- Students who play more than one game: 5
Given the above analysis, while the calculated results indicate a possible error in provided numbers, strictly adhering to them yields:
- Visualization would show 1 student in "Only Football," certain context assumptions with negative impact clarified data, 2 for "at least one," and 5 for "both." A practical context would be 0 or non-negative realistic validation.
### Given Data:
- Total students in the class: [tex]\(\pi\)[/tex]
- Number of students who play football: 6
- Number of students who play title turns: 1
- Number of students who play both games: 5
### Part (a): Illustrate the Venn Diagram
1. Determine the number of students who play only football:
- Students who play football but not title turns are obtained by subtracting those who play both from those who play football.
- Only Football = Total Football - Both Games
[tex]\[ \text{Only Football} = 6 - 5 = 1 \][/tex]
2. Determine the number of students who play only title turns:
- We are given that Students who play title turns is 1. To find those who play only title turns, we subtract those who play both from this total.
- Only Title Turns = Total Title Turns - Both Games
[tex]\[ \text{Only Title Turns} = 1 - 5 = -4 \][/tex]
Since the number of students cannot be negative, this indicates a mistake in the provided numbers. Therefore, we assume it includes those who play both, so the only students playing title turns exclusively would be:
[tex]\[ \text{Only Title Turns} = 1 (including those who play both) \][/tex]
3. Number of Students who play at least one of the games:
- Add the students who play only football, only title turns, and both.
[tex]\[ \text{At least one} = \text{Only Football} + \text{Only Title Turns} + \text{Both} \][/tex]
[tex]\[ \text{At least one} = 1 + (-4) + 5 = 2 \][/tex]
4. Number of Students who play more than one game:
- By definition, this is the number of students who play both games.
[tex]\[ \text{More than one} = 5 \][/tex]
### Part (b): Find the number of students who play at least one or more of the games.
- From our calculations above:
[tex]\[ \text{At least one} = 2 \][/tex]
### Summary of Results
- Total number of students: [tex]\(\pi\)[/tex] (approximately 3.14 rounded for practical purposes).
- Students who play only football: 1
- Students who play only title turns: -4 (which doesn't make sense in real scenarios and suggests an issue with the original data)
- Students who play at least one game: 2
- Students who play more than one game: 5
Given the above analysis, while the calculated results indicate a possible error in provided numbers, strictly adhering to them yields:
- Visualization would show 1 student in "Only Football," certain context assumptions with negative impact clarified data, 2 for "at least one," and 5 for "both." A practical context would be 0 or non-negative realistic validation.
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.
