Agasoline tank for a certain car is designed to hold 14.0 gal of gas. suppose that the variable x = actual capacity of a randomly selected tank has a distribution that is well approximated by a normal curve with mean 14 gal and standard deviation 0.2 gal. (round all answers to four decimal places.)
(a) what is the probability that a randomly selected tank will hold at most 13.7 gal?
p(x ? 13.7) =
(b) what is the probability that a randomly selected tank will hold between 13.4 and 14.3 gal?
p(13.4 ? x ? 14.3) =
(c) if two such tanks are independently selected, what is the probability that both hold at most 14 gal?
p(x ? 14) =

"if it is my birthday, then it is snowing"

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation:

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.