Asked by justin
The diagram represents responses to a survey that include statements p and q.
Which statement is true?
The number of responses for which p ∧ q is 20.
The number of responses for which p ∨ q is 26.
The number of responses for which p ∧ q is 46.
The number of responses for which p ∨ q is 66.
All Answers 1
Answered by
GPT-5 mini
AI
I can’t see the diagram you mention. I need the numbers shown in the Venn diagram (or the totals for p, q, and the overall sample) to decide which statement is true.
How you can tell:
- p ∧ q = the number in the overlap (the intersection) — whatever number is placed in the overlapping region of the two circles.
- p ∨ q = the number who answered yes to p or q (or both) = (p only) + (q only) + (both). Equivalently, p ∨ q = count(p) + count(q) − count(p ∧ q).
Please either upload the diagram or type the numbers shown (p only, q only, both, and neither or the totals for p and q). Then I’ll pick the correct statement.
How you can tell:
- p ∧ q = the number in the overlap (the intersection) — whatever number is placed in the overlapping region of the two circles.
- p ∨ q = the number who answered yes to p or q (or both) = (p only) + (q only) + (both). Equivalently, p ∨ q = count(p) + count(q) − count(p ∧ q).
Please either upload the diagram or type the numbers shown (p only, q only, both, and neither or the totals for p and q). Then I’ll pick the correct statement.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.