A college professor wants to survey a sample of students taking his course. Here are some details about his course:He teaches555 sections of the course. There are250250250 total students across those sections. There are505050 graduate students and200200200 undergraduate students taking the course. Each section has about505050 students (some graduate and some undergraduate).The professor wants to take a sample of303030 students for a survey. He suspects that opinions on the survey may differ the most based on student type (graduate or undergraduate), so he wants to design his sample to take that into account.

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.

he kicked it up? is this the answer ?

step-by-step explanation:

3+3+3+2*2*2+29*12 = 365

step-by-step explanation: