To gather information about the validity of a new standardized test for tenth-grade students in a particular state, a random sample of 15 high schools was selected from the state. the new test was administered to every 10th-grade student in the selected high schools. what kind of sample is this? (a) a simple random sample (b) a stratified random sample (c) a cluster sample (d) a systematic random sample (e) a voluntary response sample

(c) A cluster sample

Step-by-step explanation:

A cluster sample occurs when the intended population is divided into   non- overlapping sub -groups or clusters and some of these clusters are represented in the sample.

From the question, In a state 15 high schools where randomly selected and  the standardized test was administered to only 10th grade student. Here, the  high schools  are the non-overlapping sub groups that is randomly selected and a reasonable representation of the  entire subgroups.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

step-by-step explanation: