Percents And Probability Worksheet With Answers - Lesson 12-19 Page 20
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496 __
◆ Olivia found 6 students out of 50
50
preferred classical music.
6 __
= x ___
Write a proportion.
Rock
Classical
50
360
43°
Country
Use cross products to solve.
50x = 2160
x = 43.2
Round this to the nearest degree to get 43°. Measure 43° from the second line of the country sector
and draw a new line to defi ne the sector of the circle for classical music.
◆ Th e remaining section of the circle should accurately represent the number of students who
9 __
preferred jazz, 9 out of 50.
50
Jazz
9 __
= x ___
Write a proportion.
65°
50
360
Rock
Classical
Use cross products to solve.
50x = 3240
Country
x = 64.8
Th is rounds to 65° which is the remaining part of the circle.
☑
Olivia can check her work by adding the four angle measures together.
144° + 108° + 43° + 65° = 360°.
Each sector of the circle is proportional to the number of students who preferred that kind of music.
examPle 1
Josiah surveyed 20 students to fi nd their favorite sport from the choices of
basketball, baseball or football. ten chose basketball, 3 chose baseball and
7 chose football. draw a pie chart to display this data.
s
Find the degree measure for each sector of the circle.
olution
10 __
◆ Write the basketball ratio.
20
Football
10 __
= x ___
Basketball
7
Write a proportion.
10
20
360
Baseball
Use cross products to solve.
20x = 3600
3
x = 180°
3 __
◆ Write the baseball ratio.
20
3 __
= x ___
Write a proportion.
20
360
Solve.
20x = 1080
x = 54°
◆ Football is the remaining sector.
360° − 180° − 54° = 126°
90
Lesson 15 ~ Probabilities And Data Displays
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