In a population, μ Y = 100 and σ 2 Y = 43 . Use the central limit theorem to answer the following questions: In a random sample of size n = 100 , find Pr ( ¯¯¯ Y ≤ 101 ) . In a random sample of size n = 165 , find Pr ( ¯¯¯ Y > 98 ) . In a random sample of size n = 64 , find Pr ( 101 ≤ ¯¯¯ Y ≤ 103 ) .

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn

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.

$119.20

step-by-step explanation:

$372.50 - 60% off is $149. $149-20% off is $119.20

you just switch the numbers basically so it would be 3/17