Two friends are opening a coffee shop. as they write their business plan, they research the amount of debt similar businesses can have in the first two years of opening. it is known that
72% of coffee shops have a debt of over $50,000 within the first two years of opening. if a random sample of 36 coffee shops is obtained, what is the probability that more than half of them had a debt of over $50,000 within the first two years of opening?

  0.9984

Step-by-step explanation:

Let p be the proportion of coffee shops have a debt of over $50,000 within the first two years of opening.

As per given , p= 72%=0.72

Sample size : n= 36

Required probability :-

Hence, the probability that more than half of them had a debt of over $50,000 within the first two years of opening = 0.9984

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.