412 students were surveyed about their preferences of sports. 115 students like football, 100 students like baseball, and 45 stu
dents like both sports. How many students do not like football or baseball
1 answer:
Answer: 242 students do not like football or baseball
Step-by-step explanation:
The total number of students that were surveyed about their preferences of sports is 412. The Venn diagram is shown in the attached photo.
If 45 students like both sports, then the number of students that like football only would be
115 - 45 = 70
Also, the number of students that like baseball only would be
100 - 45 = 55
The number if students that like at least one of the sports is
70 + 55 + 45 = 170
Therefore, the number of students that do not like football or baseball would be
412 - 170 = 242
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14.94 cm ( to 2 dec. places )
We require the sum totals of the 2 groups before calculating the mean of all 14
using mean =
Children's sum
12.6 = ( cross-multiply )
sum = 6 × 12.6 = 75.6
Adult's sum
16.7 = ( cross- multiply )
sum = 8 × 16.7 = 133.6
Total sum of all 14 = 75.6 + 133.6 = 209.2
mean = = 14.94 cm