D. From a deck of 12 cards, which are numbered 1 to 12, a single card is drawn at random. The number is recorded and then is placed back in the deck. A second card is then drawn at random and recorded. Events are defined as follows: • A: the two cards are composed of one even numbered and one odd numbered card. • B: the first card drawn is even numbered. • C: the sum of the card numbers is even. • D: the sum of the card numbers is 18. i. Are the events A and B independent? Are the events A and B mutually exclusive? ii. Are the events A and C independent? Are the events A and C mutually exclusive? iii. Determine P(D) iv. Determine P(D|C)

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .

h/o/e/s mad

step-by-step explanation:

si si si

98%

step-by-step explanation: