Question

mr. capuano, an art teacher, surveyed his students to find out whether they are satisfied with his classes. he also noted which class each student had taken. oil - painting satisfied: 17 not satisfied: 3 sculpture satisfied: 25 not satisfied: 5 art classes

	oil painting	sculpture	total
not satisfied	x	10%

what is the value of x in the relative frequency table for the survey results? round the answer to the nearest percent. 3% 6% 8% 15%

Explanation:

Step1: Calculate total number of students

First, find the total number of students surveyed. For oil - painting, the number of satisfied students is 17 and not - satisfied is 3, so there are \(17 + 3=20\) students in oil - painting. For sculpture, the number of satisfied students is 25 and not - satisfied is 5, so there are \(25 + 5 = 30\) students in sculpture. The total number of students surveyed is \(20+30=50\).

Step2: Calculate number of not - satisfied students

The number of not - satisfied students in oil - painting is 3.

Step3: Calculate relative frequency

The relative frequency of not - satisfied students in oil - painting (\(x\)) is calculated as \(\frac{\text{Number of not - satisfied students in oil - painting}}{\text{Total number of students}}\times100\). So \(x=\frac{3}{50}\times 100 = 6\).

Answer:

6%