The coefficients of the polynomial are rational, which means that any non-real roots occur alongside their complex conjugates. In this case, 6+<em>i</em> is a root, so 6-<em>i</em> is also a root.
So the simplest polynomial you can build with these roots is
(<em>x</em> - (-5)) (<em>x</em> - (6 + <em>i </em>)) (<em>x</em> - (6 - <em>i</em> )) = <em>x</em> ^3 - 7<em>x</em> ^2 - 23<em>x</em> + 185
(first choice)
3 x (2/3) = 2
2 x 2 = 4
If both cats eat 3 oatmeal bowls, they should have 4 cups altogether.
2 x 23.8888 = 47.7776
4 x 23.8888 = 95.5552
47.7776 + 95.5552 = 143.3328
If one cat eats 2 fish plates and the other cat eats 4 fish plates, they use 143.3328 pounds altogether.
Answer:
The probability is 1/36.
Step-by-step explanation:
2/3 are dog owners
1/6 are cat owners
1/6 are bird owners
If you choose two owners, there is a 1/6 chance that you will choose a cat owner and a 1/6 chance you will choose a bird owner. Each of these are independent, so you simply multiply 1/6 by 1/6.
1/6 * 1/6= 1/36
