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A recent survey of registered voters in City X found that of the respo
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22 May 2023, 09:24
22 May 2023, 09:24
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A recent survey of registered voters in City X found that 1/3 of the respondents support the mayor’s property tax plan. Of those who did not support the mayor’s plan, 1/8 indicated they would not vote to reelect the mayor if the plan were implemented. Of all the respondents, what fraction indicated that they would not vote for the mayor if the plan were enacted?
A. 1/16
B. 1/12
C. 1/6
D. 1/3
E. 2/3
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A. 1/16
B. 1/12
C. 1/6
D. 1/3
E. 2/3
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Re: A recent survey of registered voters in City X found that of the respo
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23 May 2023, 04:46
23 May 2023, 04:46
2
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Let's break down the information given in the problem step by step.
The survey found that 1/3 of the respondents support the mayor's property tax plan. This means that 2/3 of the respondents did not support the plan.
Among those who did not support the mayor's plan, 1/8 indicated they would not vote to reelect the mayor if the plan were implemented.
To find the fraction of respondents who indicated they would not vote for the mayor if the plan were enacted, we need to calculate the fraction of respondents who did not support the plan and then multiply it by the fraction who would not vote to reelect the mayor.
Fraction who did not support the plan: 2/3
Fraction who would not vote to reelect the mayor if the plan were implemented: 1/8
Fraction who would not vote for the mayor if the plan were enacted = (2/3) * (1/8) = 2/24 = 1/12
Therefore, the fraction that indicated they would not vote for the mayor if the plan were enacted is 1/12.
The correct answer is B. 1/12.
The survey found that 1/3 of the respondents support the mayor's property tax plan. This means that 2/3 of the respondents did not support the plan.
Among those who did not support the mayor's plan, 1/8 indicated they would not vote to reelect the mayor if the plan were implemented.
To find the fraction of respondents who indicated they would not vote for the mayor if the plan were enacted, we need to calculate the fraction of respondents who did not support the plan and then multiply it by the fraction who would not vote to reelect the mayor.
Fraction who did not support the plan: 2/3
Fraction who would not vote to reelect the mayor if the plan were implemented: 1/8
Fraction who would not vote for the mayor if the plan were enacted = (2/3) * (1/8) = 2/24 = 1/12
Therefore, the fraction that indicated they would not vote for the mayor if the plan were enacted is 1/12.
The correct answer is B. 1/12.
Re: A recent survey of registered voters in City X found that of the respo
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04 Aug 2024, 19:24
04 Aug 2024, 19:24
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