Normal distribution. the lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mu = 42 and sigma = 5. what is the probability that a randomly chosen tire has a lifetime equal to 45 thousand miles? for this problem we want just the answer. give up to 4 significant decimal places, and use the proper rules of rounding.

its the fourth option

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.