Reorder the premises in the argument below to show that the conclusion follows as a valid consequence from the premises. (they are based on tarsky’s world.) it may be to rewrite the statements in if-then form and replace some by their contrapositives. a. every object that is to the right of all the blue objects is above all the triangles. b. if an object is a circle, then it is to the right of all blue objects. c. if an object is not a circle, then it is not gray. ∴ all the gray objects are above the triangles

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of emdangl be arranged? identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.