Question

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. how many students competed in smooth or rhythm, but not standard? how many students did not compete in rhythm? how many students competed in both rhythm and standard? how many students competed in exactly two of the dance categories? question help: video

Explanation:

Step1: Identify the regions for exactly two - category competitors

The regions representing students who competed in exactly two of the dance categories are the non - triple - intersection parts of the pairwise intersections.

Step2: Add the relevant numbers

The number of students who competed in Smooth and Rhythm only is 9, in Smooth and Standard only is 12, and in Rhythm and Standard only is 14.
$9 + 12+14$

Step3: Calculate the sum

$9 + 12+14=35$

Answer:

35