Question

50 students r randomly selected n 4 own cats. If there r 800 students, use da a proportion 2 estimate how many of them r own cats

Answer 1

To estimate how many of the 800 students own cats using the information provided, we can set up a proportion based on the sample of 50 students.

From the information given:
- Number of students surveyed (sample): \( 50 \)
- Number of students in the sample who own cats: \( 4 \)
- Total number of students: \( 800 \)

The proportion is set up as follows:

\[
\frac{\text{Number of students who own cats in sample}}{\text{Total number of students in sample}} = \frac{\text{Estimated number of students who own cats in total}}{\text{Total number of students}}
\]

Substituting the known values:

\[
\frac{4}{50} = \frac{x}{800}
\]

Now, we can solve for \( x \):

1. Cross multiply to get rid of the fraction:

\[
4 \times 800 = 50 \times x
\]

2. Calculate \( 4 \times 800 \):

\[
3200 = 50x
\]

3. Now, divide both sides by 50:

\[
x = \frac{3200}{50} = 64
\]

Thus, the estimated number of students who own cats among the 800 students is \( \boxed{64} \).