Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Residents of three counties were polled to find the percentage of residents who are Republican or Democrat.

\begin{tabular}{|c|c|c|c|}
\cline{2-4}
\multicolumn{1}{c|}{} & Democrat & Republican & Total \\
\hline
County 1 & 4,050 & 2,470 & 6,520 \\
\hline
County 2 & 3,925 & 6,010 & 9,935 \\
\hline
County 3 & 2,100 & 5,950 & 8,050 \\
\hline
Total & 10,075 & 14,430 & 24,505 \\
\hline
\end{tabular}

Find the following relative frequencies to the nearest tenth of a percent.

1. Republican residents of County 1: [tex]$\square$[/tex] [tex]$\%$[/tex]

2. Democratic residents of County 1: [tex]$\square$[/tex] [tex]$\%$[/tex]

3. Total Republican residents: [tex]$\square$[/tex] [tex]$\%$[/tex]

4. Total Democratic residents: [tex]$\square$[/tex] [tex]$\%$[/tex]

Sagot :

GinnyAnswer
To solve the problem, we need to calculate the relative frequencies or percentages of specific groups from the given data.

### Step-by-Step Solution:

1. Republican residents of County 1:
- We need to find the percentage of Republican residents out of the total residents in County 1.
- From the table:
- Number of Republican residents in County 1 = 2,470
- Total residents in County 1 = 6,520
- The formula to calculate the percentage:
[tex]\[ \text{Percentage} = \left(\frac{\text{Republican residents}}{\text{Total residents}}\right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left(\frac{2,470}{6,520}\right) \times 100 \approx 37.9\% \][/tex]

2. Democratic residents of County 1:
- We need to find the percentage of Democratic residents out of the total residents in County 1.
- From the table:
- Number of Democratic residents in County 1 = 4,050
- Total residents in County 1 = 6,520
- The formula to calculate the percentage:
[tex]\[ \text{Percentage} = \left(\frac{\text{Democratic residents}}{\text{Total residents}}\right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left(\frac{4,050}{6,520}\right) \times 100 \approx 62.1\% \][/tex]

3. Total Republican residents:
- We need to find the percentage of all Republican residents out of the total number of residents.
- From the table:
- Total number of Republican residents = 14,430
- Total number of residents = 24,505
- The formula to calculate the percentage:
[tex]\[ \text{Percentage} = \left(\frac{\text{Total Republican residents}}{\text{Total residents}}\right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left(\frac{14,430}{24,505}\right) \times 100 \approx 58.9\% \][/tex]

4. Total Democratic residents:
- We need to find the percentage of all Democratic residents out of the total number of residents.
- From the table:
- Total number of Democratic residents = 10,075
- Total number of residents = 24,505
- The formula to calculate the percentage:
[tex]\[ \text{Percentage} = \left(\frac{\text{Total Democratic residents}}{\text{Total residents}}\right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left(\frac{10,075}{24,505}\right) \times 100 \approx 41.1\% \][/tex]

### Summary of Results:
- Republican residents of County 1: [tex]\( 37.9\% \)[/tex]
- Democratic residents of County 1: [tex]\( 62.1\% \)[/tex]
- Total Republican residents: [tex]\( 58.9\% \)[/tex]
- Total Democratic residents: [tex]\( 41.1\% \)[/tex]
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.