Two hundred twenty TCC faculty members were surveyed regarding their plans for the upcoming weekend. The results were as follows: 121 plan to grade papers 88 plan to attend a football game 98 plan to do household chores 24 plan to grade papers and attend a football game 57 plan to grade papers and do household chores 28 plan to attend a football game and do household chores 7 plan to grade papers, attend a football game, and do household chores Sketch a Venn diagram and answer the questions below. papers game U

Two hundred twenty TCC faculty members were surveyed regarding their plans for the upcoming weekend. The results were as follows: 121 plan to grade papers 88 plan to attend a football game 98 plan to do household chores 24 plan to grade papers and attend a football game 57 plan to grade papers and do household chores 28 plan to attend a football game and do household chores 7 plan to grade papers, attend a football game, and do household chores Sketch a Venn diagram and answer the questions below. papers game U

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

How many planned to only grade papers?
How many planned to grade papers or do household chores?
How many did not plan to do any of these activities?
How many planned to do at lease two of these activities?
How many planned to attend a football game and do household chores, but did not have any plans to grade?
How many planned to attend a football game or grade papers, but did not plan to do household chores?
How many planned to do at most one of these activities?

**Survey of TCC Faculty Weekend Plans**

Two hundred twenty TCC faculty members were surveyed regarding their plans for the upcoming weekend. The results were as follows:

- 121 plan to grade papers
- 88 plan to attend a football game
- 98 plan to do household chores
- 24 plan to grade papers and attend a football game
- 57 plan to grade papers and do household chores
- 28 plan to attend a football game and do household chores
- 7 plan to grade papers, attend a football game, and do household chores

**Venn Diagram Explanation:**

The diagram provided is a Venn diagram representing the different activities the faculty members plan to engage in. It consists of three intersecting circles, each labeled with an activity:

- **Papers**: Represents faculty who plan to grade papers.
- **Game**: Represents faculty who plan to attend a football game.
- **Chores**: Represents faculty who plan to do household chores.

The areas of overlap between the circles represent faculty members who plan to engage in combinations of these activities. The intersection of all three circles indicates those who plan to engage in all three activities.

To analyze this data:
- Position the numbers in the Venn diagram sections to reflect each group's participation.
- Ensure that the numbers in each section add up correctly to match the totals given.

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