Employees at the ACME paper bag corporation have two fast food restaurant chains located next to the corporate parking lot: Carl's Jr. and Wendy's. Due to time restrictions the ACME employees eat their lunches either at Carl's Jr. or Wendy's and nowhere else. If today an employee eats lunch at Wendy's, then tomorrow the probability they'll eat lunch at Wendy's is 10% otherwise they'll eat lunch at Carl's Jr. If today an employee eats lunch at Carl's Jr., then tomorrow the probability they'll eat lunch at Carl's Jr. is 40% otherwise they'll eat lunch at Wendy's. If on Monday an employee eats lunch at Carl's Jr. what is the probability they'll eat lunch at Carl's Jr. Wednesday?

0.7 = 70% probability they'll eat lunch at Carl's Jr. Wednesday.

Step-by-step explanation:

We have that:

Carl's Jr on Monday.

On Tuesday:

40% probability of Carl's Junior.

100 - 40 = 60% probability of Wendy's.

On Wednesday:

If on Tuesday it was on Carl's Junior, 40% probability of Carl's Junior on Wednesday.

In on Tuesday it was on Wendy's, 100 - 10 = 90% probability of Carl's Junior on Wednesday.

What is the probability they'll eat lunch at Carl's Jr. Wednesday?

0.7 = 70% probability they'll eat lunch at Carl's Jr. Wednesday.

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.