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a math tutor working with a small study group has classified students i…

Question

a math tutor working with a small study group has classified students in the group by whether or not they scored 80% or above on each of three tests. the results are shown in the venn diagram to the right. use the venn diagram to represent the set of students who scored 80% or above on exactly one test. choose the set of students who scored 80% or above on exactly one exam. a. {pat, ken, ny, roz} b. {pat, ken, mel, lon, jen, eva, oli} c. {pat, ken, ny, mel, lon, jen, roz, ben, gus, eva, oli, flo, don, hui, cam, al} d. {pat, ken, ny, mel, lon, jen, roz, ben, gus, eva, oli}

Explanation:

Step1: Analyze each student's test scores

  • Exam 1 only: Pat, Ken
  • Exam 2 only: Mel, Lon, Jen
  • Exam 3 only: Eva, Oli

Step2: Combine the sets

Combine the students who scored 80% or above on exactly one exam: \(\{Pat, Ken, Mel, Lon, Jen, Eva, Oli\}\)

Answer:

B. \(\{Pat, Ken, Mel, Lon, Jen, Eva, Oli\}\)