Astudent was given an assignment to determine the percentage of students that brought a bag lunch to school. the student chose 5 random classrooms and surveyed every student in those classrooms. which type of sampling did the student use?
a. convenience
b. systematic
c. stratified
d. cluster

D. cluster

Step-by-step explanation:

A cluster sampling is a random sampling method in which a researcher splits the entire population into separate groups known as clusters.Then, he draw a random sample of clusters from the population.

After this he performs his analysis on data from the sampled clusters.

Given: A student was given an assignment to determine the percentage of students that brought a bag lunch to school. The student chose 5 random classrooms and surveyed every student in those classrooms.

Here classes is denoted as clusters and the student as researcher.

Hence, the cluster sampling is used by the student.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).