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Sagot :
To determine which statement is true based on the survey results, let's evaluate each statement one by one.
### Survey Results Summary:
- Students:
- Sharks: 90
- Moose: 10
- Teachers:
- Sharks: 5
- Moose: 10
### Statement A:
- Description: "Moose" is more popular with students, but "shark" is more popular with teachers.
- Evaluation:
- Students preferring sharks: 90 > Students preferring moose: 10
- Teachers preferring sharks: 5 < Teachers preferring moose: 10
This statement says the opposite of the actual result for both students and teachers. So, it is false.
### Statement B:
- Description: "Moose" is equally popular with students and teachers.
- Evaluation:
- Students preferring moose: 10
- Teachers preferring moose: 10
Both students and teachers have an equal preference for moose (10 each). So, this statement is true.
### Statement C:
- Description: There is no difference between the preferences of students and teachers.
- Evaluation:
- Students prefer sharks by a large margin (90 to 10).
- Teachers prefer moose more than sharks (10 to 5).
There is a clear difference in preferences between students and teachers. So, this statement is false.
### Statement D:
- Description: "Shark" is more popular with students, but "moose" is more popular with teachers.
- Evaluation:
- Students preferring sharks: 90 > Students preferring moose: 10
- Teachers preferring sharks: 5 < Teachers preferring moose: 10
This statement accurately describes the preferences of both groups. So, this statement is true.
### Conclusion:
Based on our evaluation, the truth values of the statements are:
- Statement A: False
- Statement B: True
- Statement C: False
- Statement D: True
Therefore, the true statements are B and D.
### Survey Results Summary:
- Students:
- Sharks: 90
- Moose: 10
- Teachers:
- Sharks: 5
- Moose: 10
### Statement A:
- Description: "Moose" is more popular with students, but "shark" is more popular with teachers.
- Evaluation:
- Students preferring sharks: 90 > Students preferring moose: 10
- Teachers preferring sharks: 5 < Teachers preferring moose: 10
This statement says the opposite of the actual result for both students and teachers. So, it is false.
### Statement B:
- Description: "Moose" is equally popular with students and teachers.
- Evaluation:
- Students preferring moose: 10
- Teachers preferring moose: 10
Both students and teachers have an equal preference for moose (10 each). So, this statement is true.
### Statement C:
- Description: There is no difference between the preferences of students and teachers.
- Evaluation:
- Students prefer sharks by a large margin (90 to 10).
- Teachers prefer moose more than sharks (10 to 5).
There is a clear difference in preferences between students and teachers. So, this statement is false.
### Statement D:
- Description: "Shark" is more popular with students, but "moose" is more popular with teachers.
- Evaluation:
- Students preferring sharks: 90 > Students preferring moose: 10
- Teachers preferring sharks: 5 < Teachers preferring moose: 10
This statement accurately describes the preferences of both groups. So, this statement is true.
### Conclusion:
Based on our evaluation, the truth values of the statements are:
- Statement A: False
- Statement B: True
- Statement C: False
- Statement D: True
Therefore, the true statements are B and D.
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