You are testing the claim that the mean GPA of night students is greater than the mean GPA of day students. You sample 20 night students, and the sample mean GPA is 2.77 with a standard deviation of 0.42 You sample 25 day students, and the sample mean GPA is 3.09 with a standard deviation of 0.64 Calculate the test statistic, rounded to 2 decimal places

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.