Question

twelve of the 20 students in mr. skinners class brought lunch from home. fourteen of the 21 students in ms. chos class brought lunch from home. siloni is using two 15 - section spinners to simulate randomly selecting students from each class and predicting whether they brought lunch from home or will buy lunch in the cafeteria. if each spinner is divided into 15 congruent sectors, how does the spinner representing mr. skinners class differ from the spinner representing ms. chos class? one more sector of the skinner - class spinner will represent bringing lunch from home. one fewer sector of the skinner - class spinner will represent bringing lunch from home. two more sectors of the skinner - class spinner will represent bringing lunch from home. two fewer sectors of the skinner - class spinner will represent bringing lunch from home.

Explanation:

Step1: Calculate proportion for Mr. Skinner's class

The proportion of students who brought lunch from home in Mr. Skinner's class is $\frac{12}{20}=\frac{3}{5}$. For a 15 - section spinner, the number of sectors representing bringing lunch from home is $15\times\frac{3}{5}=9$.

Step2: Calculate proportion for Ms. Cho's class

The proportion of students who brought lunch from home in Ms. Cho's class is $\frac{14}{21}=\frac{2}{3}$. For a 15 - section spinner, the number of sectors representing bringing lunch from home is $15\times\frac{2}{3}=10$.

Step3: Find the difference

The difference in the number of sectors representing bringing lunch from home between the two spinners is $10 - 9=1$. So, one fewer sector of the Skinner - class spinner will represent bringing lunch from home.

Answer:

One fewer sector of the Skinner - class spinner will represent bringing lunch from home.