1 Answer

Kerrubin · Answer 1 · 2023-11-11T15:56:45+0000

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

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.

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