Acoin-operated machine sells plastic rings. it contains 6 yellow rings, 11 blue rings, 15 green rings, and 3 black rings. sarah puts a coin into the machine. find the theoretical probability she gets a black ring. express your answer as a decimal. if necessary, round your answer to the nearest thousandth. a. 11.667 b. 0.171 c. 5.833 d. 0.086

 D. 0.086

Step-by-step explanation:

Given : The number of black rings = 3

The total number of rings =

Now, Sarah puts a coin into the machine, then the theoretical probability she gets a black ring will be :-

Hence, the theoretical probability she gets a black ring = 0.086

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

180

step-by-step explanation: