Before polling the students in Scion School of Business, a researcher divides all the current students into groups based on their class standing, such as freshman, sophomores, and so on. Then, she randomly draws a sample of 50 students from each of these groups to create a representative sample of the entire student body in the school. Which of the following sampling methods is the researcher practicing? 1. stratified random sampling 2. simple random sampling 3. cluster sampling 4. systematic random sampling 5. snowball sampling

Correct option: 3. Cluster Sampling.

Step-by-step explanation:

Cluster sampling method is the type of sampling where first the entire population is divided into groups and then a random sample of fixed size is selected from each group.

In this case also, the researcher first divides the population of students in Scion School of Business into groups according to their class standing.

Then he selects 50 students from each of these groups to create a representative sample of the entire student body.

Thus, the sampling method used is Cluster Sampling.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq