<span>There are several possible events that lead to the eighth mouse tested being the second mouse poisoned. There must be only a single mouse poisoned before the eighth is tested, but this first poisoning could occur with the first, second, third, fourth, fifth, sixth, or seventh mouse. Thus there are seven events that describe the scenario we are concerned with. With each event, we want two particular mice to become diseased (1/6 chance) and the remaining six mice to remain undiseased (5/6 chance). Thus, for each of the seven events, the probability of this event occurring among all events is (1/6)^2(5/6)^6. Since there are seven of these events which are mutually exclusive, we sum the probabilities: our desired probability is 7(1/6)^2(5/6)^6 = (7*5^6)/(6^8).</span>
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Answer:
6 : 4
Step-by-step explanation:
The product of the ratio values is 3×2 = 6. This means the two numbers will have a GCF of 12/6 = 2. So, the two numbers are ...
3×2 : 2×2 = 6 : 4
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I think of GCF and LCM problems in terms of a "diagram" that looks like this:
(a [ b ) c ]
That is, the two numbers can be written in a form such that one is (a·b), the other is [b·c], their greatest common factor is b, and their least common multiple is a·b·c.
The ratio of the two numbers would be a : c. The product ac differs from the LCM by a factor of b, the GCF. Of course, b = abc/(ac), which is how we got the above answer.
You use FOIL (first, outer, inner, last) to check your answer. Eg: (x-4)(x+3)then distribute by using FOIL to get 2 2
x +3x -4x -12 then simplify to get x -x -12
Answer:
1 ft. by 1 ft. by 1 ft.
1 mm by 1 mm by 1 mm
Step-by-step explanation:
it's a cube, all sides are the same :)
Answer:
what do you call a white person having a seizure...............................milk-
shake
Step-by-step explanation:
