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

| County | Democrat | Republican | Total |
|---------|----------|------------|--------|
| County 1| 4,050 | 2,470 | 6,520 |
| County 2| 3,925 | 6,010 | 9,935 |
| County 3| 2,100 | 5,950 | 8,050 |
| Total | 10,075 | 14,430 | 24,505 |

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

1. Republican residents of County 1: _____ %
2. Democratic residents of County 1: _____ %
3. Total Republican residents: _____ %
4. Total Democratic residents: _____ %

Sagot :

GinnyAnswer
Certainly! Let's calculate the relative frequencies step by step.

### Republican Residents of County 1

To find the percentage of Republican residents in County 1:

1. Number of Republican Residents in County 1: 2,470
2. Total Residents in County 1: 6,520

[tex]\[ \text{Republican Percentage in County 1} = \left( \frac{2,470}{6,520} \right) \times 100 \][/tex]

This gives us:

[tex]\[ \text{Republican Percentage in County 1} \approx 37.9\% \][/tex]

### Democratic Residents of County 1

To find the percentage of Democratic residents in County 1:

1. Number of Democratic Residents in County 1: 4,050
2. Total Residents in County 1: 6,520

[tex]\[ \text{Democratic Percentage in County 1} = \left( \frac{4,050}{6,520} \right) \times 100 \][/tex]

This gives us:

[tex]\[ \text{Democratic Percentage in County 1} \approx 62.1\% \][/tex]

### Total Republican Residents

To find the percentage of total Republican residents in all counties:

1. Total Number of Republican Residents: 14,430
2. Total Number of Residents in All Counties: 24,505

[tex]\[ \text{Total Republican Percentage} = \left( \frac{14,430}{24,505} \right) \times 100 \][/tex]

This gives us:

[tex]\[ \text{Total Republican Percentage} \approx 58.9\% \][/tex]

### Total Democratic Residents

To find the percentage of total Democratic residents in all counties:

1. Total Number of Democratic Residents: 10,075
2. Total Number of Residents in All Counties: 24,505

[tex]\[ \text{Total Democratic Percentage} = \left( \frac{10,075}{24,505} \right) \times 100 \][/tex]

This gives us:

[tex]\[ \text{Total Democratic Percentage} \approx 41.1\% \][/tex]

Summarizing the 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]
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