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Sagot :
The Venn diagram is best for representing information of these sort. The Venn diagram is attached and the answers to the questions are :
- Grade papers only = 46
- Grade papers or household chores = 171
- None of the activities = 10
- Atleast two activities = 110
- Football and household chores only = 28
- Football or grade only = 130
- Atmost one of the activities = 140
Let :
Attend football game = F
Grade paper = P
Household chores = H
FnHnP = 14
FnP only = 29 - 14 = 15
FnH only = 42 - 14 = 28
PnH only = 67 - 14 = 53
From the Venn diagram attached :
The number who planned to grade papers only :
P only = 128 - (15 + 14 + 53) = 46
Number who plan to grade papers or do household Chores:
(FnP)only + (FnPnH) + (PnH)only + (FnH)only + P only + H only
(15 + 14 + 53 + 28 + 15 + 46) = 171
Number who did not plan to do any of the activities :
250 - (69 + 15 + 46 + 28 + 14 + 53 + 15) = 10
Number who planned to do atleast 2 activities :
(FnP)only + (FnPnH) + (PnH)only + (FnH)only
15 + 14 + 53 + 28 = 110
Attend football game and do house chores only :
FnH only = 42 - 14 = 28
Attend football or grade only :
(F only + P only + FnP only )
69 + 46 + 15 = 130
At most one of the activities :
F only + P only + H only + None of the activities
(69 + 46 + 15 + 10) = 140
Learn more :https://brainly.com/question/12570490
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