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 900 dogs each year. About how many dogs in all of the city's animal shelters are puppies?
13/45 What number would you need to multiply 45 by to equal 900
13/45 = x/900
Solve for x.
To estimate how many dogs in all of the city's animal shelters are puppies, we can use the concept of proportion.
First, we know that in a random sample of 45 dogs, 13 are puppies. To find the proportion of puppies in the sample, we divide 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
Proportion of puppies = 13 / 45 ≈ 0.289
Now, we can use this proportion to estimate the number of puppies in all the city's animal shelters. Since the animal shelters collectively house 900 dogs each year, we can multiply the number of dogs in all the shelters by the proportion of puppies:
Estimated number of puppies = Total number of dogs in all shelters * Proportion of puppies
Estimated number of puppies = 900 * 0.289 ≈ 260.1
Therefore, a rough estimate suggests that there are about 260 puppies in total across all of the city's animal shelters.