The manager where you work with has made a contest to encourage you to learn more about a new company you are working with for business. Every time you get a correct answer to the managers question, you get to draw a $1, $5, or $10 bill from a bag. There are 10 bills in the bag, 5 are $1 bills, 4 are $5 bills, and 1 is a $10 bill. If you are the first to draw, what is your expected value in rewards?

$3.50

Step-by-step explanation:

add the dollar amount of the bills together, 5x1 + 4x5 + 10x1= 35

then divide that by the total number of bills to get your answer of $3.50

add an image

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.