Answer :
Final answer:
We calculate the proportion of homeowners with an HBO subscription from the survey, then scale it up to the total number of homeowners in the neighbourhood. The result, 192, is the expected number of homeowners with an HBO subscription in a neighborhood of 320 homeowners.
Explanation:
The question pertains to the concept of proportions. Here, the survey taken shows that 12 out of 20 homeowners have an HBO subscription. This represents a proportion between the number of homeowners with an HBO subscription to the total number of homeowners. To find the expected number of homeowners with an HBO subscription in a neighborhood of 320 homeowners, we need to scale up this proportion.
First, calculate the ratio or proportion of homeowners with a subscription from the survey, which is 12/20 = 0.6. Then multiply this ratio by the total number of homeowners in the neighbourhood. So, 0.6 * 320 = 192.
Therefore, we could expect about 192 homeowners in the neighborhood to have an HBO subscription.
Learn more about Proportions here:
https://brainly.com/question/34018947
#SPJ12
