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A survey of a random sample of registered voters shows that 42% of males and 64% of females plant to vote to re-elect a senator. Predict the overall percent of the votes that the senator will get, assuming that the ratio of males to females who vote in the election is 3 to 2. Explain how you get your answer.

 Mar 29, 2020
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I unfortunately do not have a Chegg account with a paid subscription. sad

AnExtremelyLongName  Mar 29, 2020
 #3
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This is not the best way to solve, but it is the best way (in my opinion) to understand it.

 

Plan:

For these problems, we can make it easier by PRETENDING that the total number of people is 1000.

 

Solve:

Since the ratio of males to females is 3 : 2. Let us calculate the exact number of males to females using the information we have in our plan.

 

3 + 2 = 5

5x = 1000

x = 200

 

20 * 3 = 600 males

20 * 2 = 400 females

 

42% of males = 0.42 * 600 = 252 males

64% of females = 0.64 * 400 = 256 females

 

Add them up 508 people who voted to re-elect the senator.

 

Out of the 1000 people, 508 of them did. So the overall percent is 508/1000 = 0.508, or 50.8%

 Mar 29, 2020

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