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)

Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

What are the excluded values? m+5/mn+3m