A random sample of dogs at different animal shelters in a city shows that 13 of the 45 dogs are puppies. The city's animal shelters collectively house 1,170 dogs each year. About how many dogs in all of the city's animal shelters are puppies?
Same type of question as this one:
https://www.jiskha.com/questions/1779037/Part-of-the-population-of-4-750-elk-at-a-wildlife-preserve-is-infected-with-a-parasite
Follow the same steps I used in solving it.
To find out how many puppies are in all of the city's animal shelters, we can use the concept of proportions.
First, we need to find the proportion of puppies in the sample. This can be calculated by dividing the number of puppies by the total number of dogs in the sample:
Proportion of puppies in the sample = Number of puppies / Total number of dogs in the sample = 13 / 45
Next, we can use this proportion to estimate the number of puppies in all of the city's animal shelters. We do this by multiplying the proportion of puppies in the sample by the total number of dogs in all the animal shelters:
Estimated number of puppies in all of the city's animal shelters = Proportion of puppies in the sample × Total number of dogs in all the animal shelters
Now, let's substitute the given values into the equation and calculate the estimated number of puppies:
Proportion of puppies in the sample = 13 / 45
Total number of dogs in all the animal shelters = 1,170
Estimated number of puppies in all of the city's animal shelters = (13 / 45) × 1,170
To calculate this, we divide 13 by 45 and then multiply the result by 1,170:
Estimated number of puppies in all of the city's animal shelters ≈ 13 / 45 × 1,170 ≈ 338.67
Therefore, we can estimate that there are approximately 339 puppies in all of the city's animal shelters.