mr. capuano, an art teacher, surveyed his students to find out whether they are satisfied with his classes…

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\n| | oil painting | sculpture | total |\n|--|--|--|--| \n| satisfied | 34% | | 84% |\n| not satisfied | x | 10% | |\nwhat 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%

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\n| | oil painting | sculpture | total |\n|--|--|--|--| \n| satisfied | 34% | | 84% |\n| not satisfied | x | 10% | |\nwhat 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%

Answer

Answer:

6%

Explanation:

Step1: Calcular el total de estudiantes encuestados

El número de estudiantes satisfechos en pintura al óleo es 17 y representan el 34% del total de estudiantes encuestados. Sea $T$ el total de estudiantes encuestados. Entonces $\frac{17}{T}=0.34$, y $T = \frac{17}{0.34}=50$.

Step2: Calcular el número total de estudiantes no satisfechos

El número de estudiantes no satisfechos en pintura al óleo es 3 y en escultura es 5, entonces el total de estudiantes no satisfechos es $3 + 5=8$.

Step3: Calcular la frecuencia relativa de estudiantes no satisfechos en pintura al óleo

La frecuencia relativa de estudiantes no satisfechos en pintura al óleo $x=\frac{3}{50}\times100% = 6%$.