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siniylev [52]
2 years ago
9

In a random sample survey of 80 students at Torreys middle school, 24 students said that math was their favorite subject. There

are a total of 300 students at this middle school. Based on the survey, which value is the best estimate for the number of students who would say that math is their favorite subject?
A.244
B.90
C.150
D.72
Mathematics
1 answer:
ElenaW [278]2 years ago
8 0

Answer:

90

Step-by-step explanation:

I say 90 because 24 is just a little higher than 1/4 of 80 and since 1/4 of 300 is 75, 90 is the best estimate based off the sample survey. Hope this helps!

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Since segments ST and PQ are parallel, triangles SRT and PRQ are similar due to the AAA postulate. In general, the ratio between the corresponding sides of two similar triangles is constant; therefore,

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\frac{12}{PR}=\frac{TS}{15}\begin{gathered} \Rightarrow\frac{12}{PR}=\frac{4+PS}{15} \\ \Rightarrow\frac{12}{PS+12}=\frac{4+PS}{15} \end{gathered}

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And PS is a segment; therefore, it has to be positive.

Hence, the answer is PS=6

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