Use the premises and conclusion to answer the questions. premises: if the sides of a triangle are the same length, then the triangle is an equilateral triangle. if a triangle is an equilateral triangle, then the measure of each angle is 60°. conclusion: if the sides of a triangle are the same length, then the measure of each angle is 60°. is the argument valid? why or why not? the argument is not valid because the premises are not true. the argument is not valid because the conclusion does not follow from the premises. the argument is valid by the law of syllogism. the argument is valid by the law of detachment.

The difference between two numbers is one. three times the larger number minus two times the smaller number is 9. what are the two numbers

The radius of a sphere is 3 inches. which represents the volume of the sphere?

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)