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cestrela7 [59]
3 years ago
13

A friend of mine is giving a dinner party. his current winesupply includes 8 bottles of zinfandel, 10 of merlot and 12 ofcaberne

t (he only drinks red wine), all from different wineries.
a.) if he wants to serve 3 bottles of zinfandel and servingorder is important, how many ways are there to do this?
b.) if 6 bottles of wine are to be randomly selected from the 30for serving, how many ways are there to do this?
c.) if 6 bottles are randomly selected, how many ways are thereto obtain two bottles of each variety?
d.) if 6 bottles are randomly selected, what is the probabilitythat this results in two bottles of each variety being chosen?
e.) if 6 bottles are randomly selected, what is the probabilitythat all of them are the same variety?
Mathematics
1 answer:
prisoha [69]3 years ago
7 0
4 days ago i cant awnser this
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Simplify completely quantity x squared minus 3 x minus 54 over quantity x squared minus 18 x plus 81 times quantity x squared pl
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Your statemtent is incomplete.

I found the samestatment with the complete words: <span>Simplify completely quantity x squared minus 3 x minus 54 over quantity x squared minus 18 x plus 81 times quantity x squared plus 12 x plus </span>36 over x plus 6

Given that your goal is to learn an be able to solve any similar problem, I can teach you assuming that what I found is exactly what you need.

x^2 - 3x - 54            x^2 + 12x + 36
------------------    x   ---------------------
x^2 - 18x + 81              x + 6

factor x^2 - 3x - 54 => (x - 9)(x + 6)

factor x^2 - 18x + 81 => (x - 9)^2

factor x^2 + 12x + 36 = (x + 6)^2

Now replace the polynomials with the factors=>

(x - 9) (x + 6) (x + 6)^2        (x + 6)^2       x^2 + 12x + 36
------------------------------ =  --------------- = --------------------
    (x - 9)^2 (x + 6)                 (x - 9)               x - 9

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