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A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose. This table shows the results. Which statement is true?

\begin{tabular}{|l|c|c|c|}
\hline & Sharks & Moose & Total \\
\hline Students & 90 & 10 & 100 \\
\hline Teachers & 5 & 10 & 15 \\
\hline Total & 95 & 20 & 115 \\
\hline
\end{tabular}

A. "Moose" is more popular with students, but "shark" is more popular with teachers.
B. "Moose" is equally popular with students and teachers.
C. There is no difference between the preferences of students and teachers.
D. "Shark" is more popular with students, but "moose" is more popular with teachers.

Sagot :

GinnyAnsweridn
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.
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