Study the story problem below. In a poultry farm, there are 9 roosters, 10 hens, 5 geese, 7 ducks and 8 turkeys that are being taken cared of by the owner. Find the ratio of the following: oses only N Fraction Form Forml Colon Form (in simplest form) (in simplest form) Roosters to hens Ducks to turkeys Geese to hens Turkeys to roosters Geese to all the animals in the poultry farm 1

What is the pattern in the values as the exponents increase?

State one method by which you can recognize a perfect square trinomial.

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.)