Suppose that the good professor had instead taken a randomized and enumerated list of all students in the UC system and randomly selected a starting point on that list (say, student number 21,058). He then selects that student for inclusion in the sample, and every 25th student thereafter (cycling back through students 1-21,057). What sampling design did he use

Systematic sampling

Step-by-step explanation:

Here , Professor had taken a randomized and enumerated list of all students in the UC system and randomly selected a starting point on that list.

He then selects that student for inclusion in the sample, and every 25th student thereafter.

That clearly shows that he is following the systematic sampling technique, where k= 25.

Hence, the sampling design he used = systematic sampling

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

i am not sure :

step-by-step explanation: