https://r2.erweima.ai/mathbot/image/17267949637225lg04swk.jpg

The problem provided includes a table showing student preferences for four movies (A, B, C, D) and asks to estimate the number of students who would prefer "Película A" out of a total population of 700 students, based on the results of a random sample.

The table provided has the following information:

- Película A: 45 students
- Película B: 23 students
- Película C: 33 students
- Película D: 24 students

First, we calculate the total number of students surveyed:
\[
45 + 23 + 33 + 24 = 125
\]

Next, we calculate the proportion of students who prefer "Película A" in the sample:
\[
\frac{45}{125}
\]

We will now apply this proportion to the total campus population of 700 students to estimate how many would prefer "Película A":
\[
\left(\frac{45}{125}\right) \times 700
\]

Let me calculate that.Based on the given data, we can estimate that approximately **252 students** on the campus would prefer "Película A."

Would you like further details or have any other questions?

Here are 5 related questions for you to consider:
1. How would the estimate change if the total student population was different?
2. What proportion of the total campus population prefers "Película B"?
3. Can you calculate the expected number of students who prefer "Película C" and "Película D"?
4. How can this data be visualized effectively (e.g., pie charts, bar graphs)?
5. What is the significance of using random sampling in this context?

**Tip:** Always ensure your sample is representative of the population to avoid biased estimates!

Basado en esta información, ¿cuántos estudiantes en el campus debemos esperar que prefieran la Película A? Redondear la respuesta al número natural más cercano. No redondear ninguno de los cálculos intermedios.

Learn how to estimate the number of students who prefer Película A out of a total of 700 students on campus using proportional reasoning and sample data. This problem covers key math concepts like probability, proportions, and basic arithmetic, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation