A fair coin should land showing tails with a relative frequency of 50% in a long series of flips. Felicia read

that spinning-rather than flipping-a US penny on a flat surface is not fair, and that spinning a penny

makes it more likely to land showing tails. She spun her own penny 100 times to test this, and the penny

landed showing tails in 60% of the spins.

Let p represent the proportion of spins that this penny would land showing tails.

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.

step-by-step explanation: