Question

using two-way tables the two - way table shows the results
what percent of students like both hip hop and pop music? rounc

% of students dislike pop music.

% of students like both hip hop and pop music.

Explanation:

Step1: Calculate total number of students

Add all the values in the table: \(133 + 25+31 + 36=225\)

Step2: Calculate percentage of students who dislike pop music

Number of students who dislike pop music is \(31 + 36 = 67\).
Use the formula \(\text{Percentage}=\frac{\text{Part}}{\text{Whole}}\times100\), so \(\frac{67}{225}\times100=\frac{6700}{225}\approx29.8\%\)

Step3: Calculate percentage of students who like both hip - hop and pop music

Number of students who like both is \(133\).
Using the percentage formula \(\frac{133}{225}\times100=\frac{13300}{225}\approx59.1\%\)

Answer:

29.8% of students dislike pop music. 59.1% of students like both hip hop and pop music.