Question

A school wants to add a new sports team. The school sent out surveys asking for the​ students' favorite sport. students named . 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 help

Answer 1

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°