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

what is the question here

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.