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Students from grades 11 and 12 in Jason's school were asked to vote for the prom king and queen. Jason surveyed every 12th student from a list of 1,200 students. The table shows the results of his survey.

\begin{tabular}{|l|c|}
\hline & Votes \\
\hline Prom King & \\
\hline David & 22 \\
\hline Steve & 24 \\
\hline Tyler & 28 \\
\hline Derek & 26 \\
\hline Prom Queen & \\
\hline Katie & 27 \\
\hline Hillary & 23 \\
\hline Haylie & 24 \\
\hline Avril & 26 \\
\hline
\end{tabular}

Jason can predict that Tyler will receive [ ] votes and Katie will receive [ ] votes from the student body.

Sagot :

GinnyAnsweridn
Sure! Let's analyze the question step by step:

1. Jason surveyed every 12th student from a list of 1,200 students. Therefore, the surveyed fraction of the student body is [tex]\( \frac{1}{12} \)[/tex].

2. According to the survey results:
- Tyler received 28 votes.
- Katie received 27 votes.

3. To find the total predicted votes for each candidate, we need to scale up their survey votes to the entire student body. Considering they were sampling every 12th student, the scaling factor is 12.

4. To find the total predicted votes:
- Multiply the number of votes Tyler received by the scaling factor: [tex]\( 28 \times 12 = 336 \)[/tex].
- Multiply the number of votes Katie received by the scaling factor: [tex]\( 27 \times 12 = 324 \)[/tex].

Therefore, Jason can predict that Tyler will receive 336 votes and Katie will receive 324 votes from the student body.
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