At a local community college, five statistics classes are randomly selected out of 20 and all of the students from each class are interviewed. Identify the type of sampling used in this example.

cluster sampling

Step-by-step explanation:

In cluster sampling, the population is divided into groups or clusters (in this case, students divided in the 20 classes), the researcher then randomly selects a subset of clusters and samples the individuals within those clusters. In this example, since students from 5 out of 20 classes are sampled, the sampling process can be characterized as cluster sampling.

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)