For a t distribution with 16 degrees of freedom, find the area (probability) in each region (do not round your answers): To the right of 2.120 Answer To the left of 1.337 Answer

And we can calculate this with the complement rule, and with the following Excel code:

"=1-T.DIST(2.12,16,TRUE)"

And we got:

And we can calculate this with the following Excel code:

"=T.DIST(1.337,16,TRUE)"

And we got:

Step-by-step explanation:

For this case we know that we have a t distribution with df = 16

And we want this probability:

And we can calculate this with the complement rule, and with the following Excel code:

"=1-T.DIST(2.12,16,TRUE)"

And we got:

For the other case we have this:

And we can calculate this with the following Excel code:

"=T.DIST(1.337,16,TRUE)"

And we got:

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.