Abag contains 8 red marbles, 6 white marbles, and 8 blue marbles. you draw 4 marbles out at random, without replacement. what is the probability that all the marbles are red? the probability that all the marbles are red is 0.009569 correct . what is the probability that exactly two of the marbles are red? the probability that exactly two of the marbles are red is 0.2727 incorrect . what is the probability that none of the marbles are red? the probability of picking no red marbles is

Step-by-step explanation:

Consider the provided information.

Bag contains 8 red marbles, 6 white marbles, and 8 blue marbles.

Total number of marbles = 8+6+8=22

The probability of getting a red marbles: 8/22

The probability of not getting a red marbles: 14/22

Now consider the part A:

We need to find probability that all the marbles are red if 4 marbles drawn.

The probability that all marbles are red is:

Hence, the probability that all marbles are red is 0.009569

Part B

Find the probability that exactly two of the marbles are red.

The probability that exactly 2 marbles are red is:

Hence, the probability that exactly two red marbles is 0.0581

Part C

Now find the probability that none of the marbles are red.

The probability that none of the marbles are red is:

Hence, the probability that none of the marbles are red is 0.1368

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.