Question

Hello. Thank you for responding. Im stuck on this problem and need help ty

Answer 1

In order to estimate the number of students that prefer movie D, first let's calculate the sample size of the research:

`20+21+34+50=125`

Then, we can use the following rule of three:

`\begin{gathered} students\rightarrow movie\text{ D} \\ 125\rightarrow50 \\ 800\rightarrow x \end{gathered}`

Now, we can write the following proportion and solve it for x:

`\begin{gathered} (125)/(800)=(50)/(x)\\ \\ x\cdot125=800\cdot50\\ \\ x=(800\cdot50)/(125)\\ \\ x=320\text{ students} \end{gathered}`

Therefore the answer is 320 students.