Answer:
The predicted number of catfish in the pond is 57.
Step-by-step explanation:
We are given that the average number of catfish in the samples was 5.7. If the total population of fish in the pond is 200, the proportion of catfish in the pond will be 5.7/20 = x/200.
We have to calculate the predicted number of catfish in the pond.
The given proportion to us is;
[tex]\frac{5.7}{20}=\frac{x}{200}[/tex]
Cross multiplying both the fractions we get;
[tex]5.7 \times 200=x \times 20[/tex]
[tex]\frac{57}{10} \times 200=x \times 20[/tex]
[tex]{57} \times 20=x \times 20[/tex]
[tex]x = \frac{57 \times 20}{20}[/tex]
[tex]x = 57[/tex]
So, the predicted number of catfish in the pond is 57.
