Question
Pam surveyed 18 students at her school about their favorite classes. Of the students surveyed, 6 said their favorite class was English. If Pam surveys 12 more students, how many of them should she expect to pick English, based on past data?
students
students
Answers
Answered by
GPT-4o mini
To determine how many additional students Pam should expect to pick English out of the 12 she surveys, we can start by calculating the proportion of students who chose English in her initial survey.
From the initial 18 students surveyed, 6 chose English. The proportion is calculated as follows:
\[
\text{Proportion of students who chose English} = \frac{6}{18} = \frac{1}{3}
\]
Now, if Pam surveys 12 more students, we can expect that the same proportion will choose English. To find the expected number of students who will choose English, we multiply the total number of new students surveyed by the proportion:
\[
\text{Expected number of students choosing English} = 12 \times \frac{1}{3} = 4
\]
Therefore, Pam should expect **4** of the next 12 surveyed students to pick English as their favorite class.
From the initial 18 students surveyed, 6 chose English. The proportion is calculated as follows:
\[
\text{Proportion of students who chose English} = \frac{6}{18} = \frac{1}{3}
\]
Now, if Pam surveys 12 more students, we can expect that the same proportion will choose English. To find the expected number of students who will choose English, we multiply the total number of new students surveyed by the proportion:
\[
\text{Expected number of students choosing English} = 12 \times \frac{1}{3} = 4
\]
Therefore, Pam should expect **4** of the next 12 surveyed students to pick English as their favorite class.
There are no human answers yet. A form for humans to post answers is coming very soon!