Answered

\begin{tabular}{|l|c|}
\hline
\begin{tabular}{l}
George H. W. Bush \\
(Republican)
\end{tabular} & [tex]$39,104,545$[/tex] \\
\hline
\begin{tabular}{l}
William J. "Bill" Clinton \\
(Democrat)
\end{tabular} & [tex]$44,909,889$[/tex] \\
\hline
\begin{tabular}{l}
H. Ross Perot \\
(Independent)
\end{tabular} & [tex]$19,742,267$[/tex] \\
\hline
\end{tabular}

Which statement about popular votes in the 1992 election is supported by the data?

A. Bill Clinton received more than half of all the popular votes.

B. Bill Clinton received more than twice the popular votes for George Bush.

C. George Bush would have won the popular vote if he had also received all of Ross Perot's votes.

D. Ross Perot would have won the popular vote if he had also received half of George Bush's votes.



Answer :

GinnyAnswer
Let's analyze each given statement step by step to determine whether it is supported by the data.

### Statement A
#### "Bill Clinton received more than half of all the popular votes."

First, we need to calculate the total number of popular votes cast:

[tex]\[ \text{Total Votes} = \text{Votes for Clinton} + \text{Votes for Bush} + \text{Votes for Perot} \][/tex]
[tex]\[ \text{Total Votes} = 44,909,889 + 39,104,545 + 19,742,267 \][/tex]
[tex]\[ \text{Total Votes} = 103,756,701 \][/tex]

Now, let's check if Bill Clinton received more than half of the total votes:

[tex]\[ \frac{\text{Total Votes}}{2} = \frac{103,756,701}{2} = 51,878,350.5 \][/tex]

[tex]\[ 44,909,889 < 51,878,350.5 \][/tex]

So, Bill Clinton did not receive more than half of all the popular votes. Therefore, Statement A is False.

### Statement B
#### "Bill Clinton received more than twice the popular votes for George Bush."

Let's check whether Bill Clinton received more than twice the votes of George Bush:

[tex]\[ \text{Twice the votes for Bush} = 2 \times 39,104,545 = 78,209,090 \][/tex]

[tex]\[ 44,909,889 < 78,209,090 \][/tex]

So, Bill Clinton did not receive more than twice the popular votes for George Bush. Therefore, Statement B is False.

### Statement C
#### "George Bush would have won the popular vote if he had also received all of Ross Perot's votes."

Let's see if George Bush would have had more votes than Bill Clinton if he also received all of Ross Perot's votes:

[tex]\[ \text{Votes for Bush with Perot's votes} = \text{Votes for Bush} + \text{Votes for Perot} \][/tex]
[tex]\[ \text{Votes for Bush with Perot's votes} = 39,104,545 + 19,742,267 = 58,846,812 \][/tex]

[tex]\[ 58,846,812 > 44,909,889 \][/tex]

So, George Bush would have won the popular vote if he had also received all of Ross Perot's votes. Therefore, Statement C is True.

### Statement D
#### "Ross Perot would have won the popular vote if he had also received half of George Bush's votes."

Finally, let's determine whether Ross Perot would have more votes than Bill Clinton if he received half of George Bush's votes:

[tex]\[ \text{Half of Bush's votes} = \frac{39,104,545}{2} = 19,552,272.5 \][/tex]

[tex]\[ \text{Votes for Perot with half of Bush's votes} = \text{Votes for Perot} + \text{Half of Bush's votes} \][/tex]
[tex]\[ \text{Votes for Perot with half of Bush's votes} = 19,742,267 + 19,552,272.5 = 39,294,539.5 \][/tex]

[tex]\[ 39,294,539.5 < 44,909,889 \][/tex]

So, Ross Perot would not have won the popular vote if he had also received half of George Bush's votes. Therefore, Statement D is False.

### Conclusion
Based on the data provided:
- Statement A is False.
- Statement B is False.
- Statement C is True.
- Statement D is False.

Other Questions