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the gym teachers at springfield middle school randomly surveyed 40 stud…

Question

the gym teachers at springfield middle school randomly surveyed 40 students to find which one of four indoor sports they prefer to play. the results are shown in the table. based on the data, which sentence is true?
favorite indoor sport

typenumber of students
volleyball15
soccer6
dodgeball7

more students would rather play basketball than soccer and dodgeball combined.
more than twice as many students would rather play basketball than dodgeball.
more than twice as many students would rather play volleyball than soccer.
more students would rather play volleyball than the other three sports combined.

Explanation:

Step1: Analyze each option

  • Option 1: Soccer + Dodgeball = 6 + 7 = 13. Basketball is 12. 12 < 13, so false.
  • Option 2: Twice dodgeball = 2*7 = 14. Basketball is 12. 12 < 14, so false.
  • Option 3: Twice soccer = 2*6 = 12. Volleyball is 15. 15 > 12, so true.
  • Option 4: Other three sports: 12 + 6 + 7 = 25. Volleyball is 15. 15 < 25, so false.

Answer:

More than twice as many students would rather play volleyball than soccer.