By visiting homes door-to-door, a municipality surveys all the households in 31 randomly-selected neighborhoods to see how residents feel about a proposed property tax increase. identify the type of sample that is being used.

1. stratified sample
2. cluster sample
3. voluntary response sample
4. sample of convenience

Cluster Sample

Step-by-step explanation:

Sometimes, a survey may involve people in a widespread geographical location. Taking samples from all part of the location may involve higher cost and even difficulty in accessing the whole area. Researchers therefore use a type of sampling method that help in overcoming this difficulty and still get results that can be used to judge the whole population.

This type of sampling is called cluster sampling. Cluster sampling involves sharing your population into clusters and randomly selecting two or more of the clusters. The researcher then samples from only the selected clusters.

In the question above, the population is already shared into clusters, in the form of neighbourhoods. The municipality then randomly selected 31 neighbourhoods out of the whole neighbourhoods in the city, just like in cluster sampling, then samples from only the selected neighbourhood. This is why the selected samples are cluster samples.

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.