The student government wants to determine the theme for the eighth-grade dance. Which group would it be best to take a sample from? A.) student government
B.) eighth-grade students
C.) eighth-grade students in student government
D.) middle school students

The correct answer is B.) Eight-grade students

Explanation:

The purpose of a sample is to choose a reduced number of people from a specific population to study and analyze their opinions, behavior, ideas, etc. as part of a research process. Moreover, the sample or individual selected is directly related to the purposes of the research. For example, in research about the opinions of citizens about new policies, the citizens of the specific country or city should be selected.

In this context, eighth-grade students should be selected as part of the sample because this group is directly affected by the theme of the eighth-grade dance. Also, it is the interest of this group the one that determines the final theme rather than all the students or the student government.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.