Write the contrapositive of the statement. q ? (p ? r)

A. ~(p ? r) ? ~q
B. (p ? r) ? q
C. ~q ? ~(p ? r)
D. q ? (p ? r)


Answer: A

Mathematics

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Find the slope and the y-intercept of the line determined by the given equation. ? ?

A.

slope: ; y-intercept:


B.

slope: ; y-intercept:


C.

slope: ; y-intercept:


D.

slope: ; y-intercept:


E.

slope: ; y-intercept:


Mathematics

Find the limit. 

A. Does not exist B. 2 C. 1 D. 1/2

Mathematics

For a certain species, the probability P that a colony founded by a single individual will become extinct within t years is given by

. A:  What is the probability that this population will become extinct within 4 years? Round your answer to two decimal places if necessary.B: The probability that the population will eventually become extinct is the limiting value of P. What is the probability that this population will eventually become extinct? Round your answer to two decimal places if necessary.C: If the colony is founded by k individuals, then the probability that it will survive for at least t years is given by . ? Find a formula for Q in terms of t and k.C: What is the probability that a population founded by k individuals will survive indefinitely? Note: Your answer will involve the variable ?k. ? What will be an ideal response?

Mathematics

Factor completely.9x2 - 39x - 30

A. prime B. (9x + 6)(x - 5) C. 3(3x + 2)(x - 5) D. 3(3x - 2)(x + 5)

Mathematics