A survey was conducted at a local ballroom dance studio asking students if they had ever competed in the following dance categories: - Smooth - Rhythm - Standard The results were then presented to the owner in the following Venn Diagram. 1451091512611SmoothRhythmStandard[Graphs generated by this script: initPicture(-5.5,5.5,-5.5,5.5);strokewidth=4;fill='transorange';circle([0,-1.7],3);fill='translightblue';circle([2,2],3);fill='transyellow';circle([-2,2],3);fontsize=16;text([-2.2,2.7],'14');text([2.2,2.7],'5');text([0,-2.8],'10');text([0,2.2],'9');text([-1.5,-.2],'15');text([1.5,-.2],'12');text([0,.6],'6');text([4,-4],'11');text([-2.3,3.85],'Smooth');text([2.3,3.85],'Rhythm');text([0,-1.5],'Standard');] What percent of students have (Round to the nearest tenth of a percent.): a) Competed in none of the categories?Correct% b) Competed in all three of these categories?Correct% c) Competed in Smooth or Standard, but not Rhythm?Incorrect% d) Competed in Rhythm and Standard, but not Smooth?Incorrect% e) Competed in Rhythm.Incorrect%

A survey was conducted at a local ballroom dance studio asking students if they had ever competed in the following dance categories:
- Smooth
- Rhythm
- Standard

The results were then presented to the owner in the following Venn Diagram.

1451091512611SmoothRhythmStandard[Graphs generated by this script: initPicture(-5.5,5.5,-5.5,5.5);strokewidth=4;fill='transorange';circle([0,-1.7],3);fill='translightblue';circle([2,2],3);fill='transyellow';circle([-2,2],3);fontsize=16;text([-2.2,2.7],'14');text([2.2,2.7],'5');text([0,-2.8],'10');text([0,2.2],'9');text([-1.5,-.2],'15');text([1.5,-.2],'12');text([0,.6],'6');text([4,-4],'11');text([-2.3,3.85],'Smooth');text([2.3,3.85],'Rhythm');text([0,-1.5],'Standard');]

What percent of students have (Round to the nearest tenth of a percent.):

a) Competed in none of the categories?Correct%
b) Competed in all three of these categories?Correct%
c) Competed in Smooth or Standard, but not Rhythm?Incorrect%
d) Competed in Rhythm and Standard, but not Smooth?Incorrect%
e) Competed in Rhythm.Incorrect%