in a public opinion poll 624 people from a sample of 1100 indicated they would vote for specific candidate how many votes can the candidate expect to receive from a population of 40000

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ZadkielZ772173 ZadkielZ772173

25-10-2022
Mathematics

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in a public opinion poll 624 people from a sample of 1100 indicated they would vote for specific candidate how many votes can the candidate expect to receive from a population of 40000

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ElektraV232305 ElektraV232305 · Answer 1 · 2022-10-25T09:38:02+02:00

Hello!

In a sample of 1100 people, the specific candidate got 624 votes. So, we can write it as 624/1100.

And if the total of voters is 40,000, how many votes this specific candidate will receive? We can write it as x/40,000.

Now, let's equal both fractions look:

[tex]\begin{gathered} \frac{624}{1100}=\frac{x}{40000} \\ \\ 1100x=624\times40000 \\ 1100x=24960000 \\ x=\frac{24960000}{1100} \\ \\ x\cong22691 \end{gathered}[/tex]

Answer:

Approximately 22691 votes.