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A pie chart shows the following distribution: 1 to 2, 35; 3 to 4, 18; 5 to 6, 13; 7 plus, 11. Each segment of the pie chart shows a different pattern.

Heraldo surveyed a group of people and asked them how many tattoos they had. His results are represented in the circle graph. What percentage of people responded with 1–2? Express the answer as a decimal, and round to the nearest tenth.

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

To calculate the percentage of people who responded with 1-2 tattoos, we need to find the central angle of the corresponding segment in the pie chart.

The total number of people surveyed is 35 + 18 + 13 + 11 = 77.

The central angle for the 1-2 segment can be calculated using the formula:
Central Angle = (Number of people in category / Total number of people surveyed) x 360 degrees

Central Angle for 1-2 segment = (35/77) x 360 ≈ 162.9 degrees

To convert the central angle into a percentage, we divide it by 360 and then multiply by 100:
Percentage = (Central Angle / 360) x 100
Percentage = (162.9 / 360) x 100 ≈ 45.3%

Therefore, approximately 45.3% of people responded with 1-2 tattoos.