The question is incomplete :
A school wants to add a new sports team. The school sent out surveys asking for the students' favorite sport. 39 students named lacrosse . Others named or . Usepencil and paper. Explain how to use the circle graph and ratios to find the number of students surveyed. Then find this number. 32% vollyball 52%l across 16% hoccey please
Answer:
Total surveyed = 75
LACROSSE:
187.2°
VOLLEY BALL:
24 ; 115.2°
HOCKEY:
12 ; 57.6°
Explanation:
Given that :
Volley = 32%
Lacrosse = 52%
Hockey = 16%
Number who named Lacrosse = 39 ; % of lacrosse = 52%
Let the total number of students surveyed = x
Hence,
Lacrosse :
(52/100) * x = 39
0.52x = 39
x = 39 / 0.52
x = 75
Hence ;
Volley ball = 32%
32/ 100 * 75
0.32 * 75
= 24
Hockey :
16% of 75
0.16 * 75
= 12
Hence,
Total surveyed = 75
Lacrosse = 39
Volley ball = 27
Hockey = 12
For the circle proportion:
Overall circle proportion = 100% ; Circumference of circle = 360°
Proportion of Lacrosse:
Lacrosse percentage = 52%
52% * 360 = 187.2°
Proportion of Volley ball:
Volleyball percentage = 32%
32% * 360 =115.2°
Proportion of hockey :
Hockey percentage = 16%
16% * 360 = 57.6°
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