there are 54 students in a class. the venn diagram below shows how many students play a sport, take a…
there are 54 students in a class. the venn diagram below shows how many students play a sport, take a foreign language, do both, or do neither. complete the following two - way frequency table.\nplays a sport does not play a sport\ntakes a foreign language 21\ndoes not take a foreign language 12\nforeign language sport\n17 21 12
Answer
Explanation:
Step1: Find number of students who take a foreign - language but don't play a sport
From the Venn - diagram, the number of students who take a foreign language but don't play a sport is 17.
Step2: Find number of students who don't play a sport and don't take a foreign language
The total number of students is 54. The sum of students in the Venn - diagram parts is (17 + 21+12=50). So the number of students who don't play a sport and don't take a foreign language is (54-(17 + 21+12)=4).
Step3: Find number of students who don't play a sport and take a foreign language
It is 17.
Step4: Find number of students who don't play a sport and don't take a foreign language
It is 4.
Answer:
| Plays a sport | Does not play a sport |
|---|---|
| Takes a foreign language | 21 |
| Does not take a foreign language | 12 |