Math Problem Statement

Venn Diagram for Exam Review (1).pdf

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Last semester, 250 of the MAT 113 students were surveyed to see if they worked over the past weekend (Friday, Saturday, or Sunday). Their responses are reflected in the Venn Diagram below. How many students surveyed worked Saturday or Sunday?

Solution

It seems that the uploaded file doesn't contain the Venn Diagram or sufficient data to answer the question directly. Could you describe or upload the Venn Diagram, or share any relevant numbers that it provides (such as the breakdown of students who worked on each day)? This way, I can help calculate how many students worked on Saturday or Sunday.

Let me know if you'd like to clarify anything else! Here are a few questions to expand your understanding:

  1. What additional details are provided in the Venn Diagram?
  2. How many students worked on Friday, if applicable?
  3. Were any students reported as working all three days?
  4. How many students worked only on Saturday or only on Sunday?
  5. Did the survey specify any conditions for overlap between days worked?

Tip: In Venn Diagrams, remember to focus on both individual and overlapping regions to avoid double-counting.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Venn Diagrams
Inclusion-Exclusion Principle

Formulas

Inclusion-Exclusion Principle: |A ∪ B| = |A| + |B| - |A ∩ B|

Theorems

Inclusion-Exclusion Theorem

Suitable Grade Level

College-Level (Introductory Set Theory)

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