Question

determining relative frequencies as percentages
residents of three counties were polled to find the percentage of residents who are republican or democrat.

	democrat	republican	total
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.
republican residents of county 1: \\(\boxed{\\%}\\)
democratic residents of county 1: \\(\boxed{\\%}\\)
total republican residents: \\(\boxed{\\%}\\)
total democratic residents: \\(\boxed{\\%}\\)

Explanation:

Step1: Calculate Republican in County 1

Relative frequency = (Republican in County 1 / Total in County 1) * 100
$\frac{2470}{6520} \times 100 \approx 37.9\%$

Step2: Calculate Democrat in County 1

Relative frequency = (Democrat in County 1 / Total in County 1) * 100
$\frac{4050}{6520} \times 100 \approx 62.1\%$

Step3: Calculate Total Republican

Relative frequency = (Total Republican / Grand Total) * 100
$\frac{14430}{24505} \times 100 \approx 58.9\%$

Step4: Calculate Total Democrat

Relative frequency = (Total Democrat / Grand Total) * 100
$\frac{10075}{24505} \times 100 \approx 41.1\%$

Answer:

Republican residents of County 1: $\boldsymbol{37.9\%}$
Democratic residents of County 1: $\boldsymbol{62.1\%}$
Total Republican residents: $\boldsymbol{58.9\%}$
Total Democratic residents: $\boldsymbol{41.1\%}$