The point (5, 3) has an image of (2, –1) under a translation of left 3 and down 4 units. which sequence of transformations produces the same image? translate left 2 units and down 3 units, and then reflect over the x-axis. translate left 3 units and down 2 units, and then reflect over the x-axis. reflect over the x-axis, and then translate left 2 units and down 3 units. reflect over the x-axis, and then translate left 3 units and down 2 units.

Which is the standard form for this number? (4 x 1 100 ) + (8 x 1 1,000 ) + ( 3 x 1 100,000 ) ? a) 0.004803 b) 0.04803 c) 0.0483 d) 0.483

Find two numbers if their sum is 91 and the ratio is 6: 7?

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.)