A random sample of dogs at different animal shelters in a city shows that 12 of the 60 dogs are puppies. The city's animal shelters collectively house 1,200 dogs each year. About how many dogs in all of the city's animal shelters are puppies?
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12/60 are puppies. 60 are the number of dogs, 12 is number of puppies.
If there are 1200 dogs, we focus on the 60. 1200/60= 20
Whatever we do to the denominator we do to the numerator, so since we can multiply 60 by 20 to get 1200; we need to multiply 12 by 20 to get the total number of dogs. Which is 240.
60/1200 = x/20 1200x /1200 =12/20 x =240
A university has 40,410 students. In a random sample of 240 students, 16 speak three or more languages. Predict the number of students at the university who speak three or more languages.
To find the estimate for the total number of puppies in all of the city's animal shelters, we can use the concept of sampling proportions.
First, let's determine the proportion of puppies in the random sample. The proportion of puppies is obtained by dividing the number of puppies (12) by the total number of dogs in the sample (60):
Proportion of puppies = Number of puppies / Total number of dogs in the sample
= 12 / 60
= 0.2
Now, let's apply this proportion to the total number of dogs in all of the city's animal shelters. Since the total number of dogs in the shelters each year is 1,200, we can estimate the number of puppies using the proportion:
Number of puppies = Proportion of puppies * Total number of dogs in all shelters
= 0.2 * 1,200
= 240
Therefore, based on the sample, we estimate that there are about 240 puppies in all of the city's animal shelters.