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Sagot :
To determine which statement about the popular votes in the 1992 U.S. Presidential Election is supported by the data provided, we will analyze each statement one by one:
### Step 1: Calculate the Total Popular Votes
First, calculate the total number of popular votes cast in the election:
[tex]\[ \text{Total Votes} = 39,104,545 + 44,909,889 + 19,742,267 = 103,756,701 \][/tex]
### Step 2: Verify Each Statement
Statement A: Bill Clinton received more than half of all the popular votes.
To verify this, calculate the percentage of votes Bill Clinton received:
[tex]\[ \text{Clinton Votes Percentage} = \left(\frac{44,909,889}{103,756,701}\right) \times 100 \approx 43.28\% \][/tex]
Since 43.28% is less than 50%, 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.
To verify this, compare Bill Clinton's votes to twice the votes of George Bush:
[tex]\[ 2 \times 39,104,545 = 78,209,090 \][/tex]
Since 44,909,889 votes (Bill Clinton) is not more than 78,209,090 votes (twice George Bush's votes),
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.
To verify this, add Ross Perot's votes to George Bush's votes and see if the sum exceeds Bill Clinton's votes:
[tex]\[ \text{Bush + Perot Votes} = 39,104,545 + 19,742,267 = 58,846,812 \][/tex]
Since 58,846,812 votes (Bush + Perot) is more than 44,909,889 votes (Bill Clinton),
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.
To verify this, add half of George Bush's votes to Ross Perot's votes and see if the sum exceeds Bill Clinton's votes:
[tex]\[ \text{Perot + Half of Bush's Votes} = 19,742,267 + \left(\frac{39,104,545}{2}\right) = 19,742,267 + 19,552,272.5 = 39,294,539.5 \][/tex]
Since 39,294,539.5 votes (Perot + Half of Bush's votes) is less than 44,909,889 votes (Bill Clinton),
Statement D is false.
### Conclusion
The only statement supported by the data is:
C. George Bush would have won the popular vote if he had also received all of Ross Perot's votes.
### Step 1: Calculate the Total Popular Votes
First, calculate the total number of popular votes cast in the election:
[tex]\[ \text{Total Votes} = 39,104,545 + 44,909,889 + 19,742,267 = 103,756,701 \][/tex]
### Step 2: Verify Each Statement
Statement A: Bill Clinton received more than half of all the popular votes.
To verify this, calculate the percentage of votes Bill Clinton received:
[tex]\[ \text{Clinton Votes Percentage} = \left(\frac{44,909,889}{103,756,701}\right) \times 100 \approx 43.28\% \][/tex]
Since 43.28% is less than 50%, 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.
To verify this, compare Bill Clinton's votes to twice the votes of George Bush:
[tex]\[ 2 \times 39,104,545 = 78,209,090 \][/tex]
Since 44,909,889 votes (Bill Clinton) is not more than 78,209,090 votes (twice George Bush's votes),
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.
To verify this, add Ross Perot's votes to George Bush's votes and see if the sum exceeds Bill Clinton's votes:
[tex]\[ \text{Bush + Perot Votes} = 39,104,545 + 19,742,267 = 58,846,812 \][/tex]
Since 58,846,812 votes (Bush + Perot) is more than 44,909,889 votes (Bill Clinton),
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.
To verify this, add half of George Bush's votes to Ross Perot's votes and see if the sum exceeds Bill Clinton's votes:
[tex]\[ \text{Perot + Half of Bush's Votes} = 19,742,267 + \left(\frac{39,104,545}{2}\right) = 19,742,267 + 19,552,272.5 = 39,294,539.5 \][/tex]
Since 39,294,539.5 votes (Perot + Half of Bush's votes) is less than 44,909,889 votes (Bill Clinton),
Statement D is false.
### Conclusion
The only statement supported by the data is:
C. George Bush would have won the popular vote if he had also received all of Ross Perot's votes.
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