Final answer:
The experimental probability that the next student to sign up for camp this summer will specialize in ballroom dance is approximately 0.23.
Step-by-step explanation:
To find the experimental probability that the next student to sign up for camp this summer will specialize in ballroom dance, we need to divide the number of students who chose ballroom dance by the total number of students.
From the given data, we know that there were 20 students who chose ballroom dance and a total of 86 students who chose different styles of dance. Therefore, the experimental probability that the next student will specialize in ballroom dance is 20/86 or approximately 0.23.