Seventy cats are randomly chosen from different animal shelters in the city. Of these 70 cars12 are kittens. The animal shelters house 2,200 cats each year. Based on the sample data approximately how many cats in the city's shelters are kitten.
We can start by setting up a proportion:
(12 kittens in sample) / (70 cats in sample) = (x kittens in population) / (2,200 cats in population)
Solving for x, we can cross-multiply:
12 * 2,200 = 70x
26,400 = 70x
x = 377.14
Based on the sample data, we can estimate that there are approximately 377 kittens in the city's shelters.
To approximate the number of kittens in the city's shelters, we can set up a proportion using the sample data:
Number of kittens in the sample : Number of cats in the sample = Number of kittens in the city's shelters : Number of cats in the city's shelters
Using the given data:
Number of kittens in the sample = 12
Number of cats in the sample = 70
Number of kittens in the city's shelters = x (what we are trying to find)
Number of cats in the city's shelters = 2,200
So, we have:
12 : 70 = x : 2,200
To solve this proportion, we cross-multiply:
12 * 2,200 = 70 * x
26,400 = 70x
Now, solve for x by dividing both sides of the equation by 70:
x = 26,400 / 70
x ≈ 377.14
Therefore, based on the sample data, approximately 377 kittens can be estimated to be in the city's shelters.