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Gnesinka [82]
3 years ago
11

A bag contains eight chips numbered 1 through 8. two chips are drawn randomly from the bag and laid down in the order they were

drawn. what is the probability that the 2-digit number formed is divisible by 3? convert to a percent and round to the tenths place.
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0
<span>There are 56 possible combinations when drawing two chips. Remember that you cannot draw two of the same chips from the bag, so 11, 22, 33, 44, 55, 66, 77, and 88 are not possible. Therefore, 20 of 56 combinations are divisible by 3, or approximately 36 percent. 12,13,14,15,16,17,18 21,23,24,25,26,27,28 31,32,34,35,36,37,38 41,42,43,45,46,47,48 51,52,53,54,56,57,58 61,62,63,64,65,67,68 71,72,73,74,75,76,78 81,82,83,84,85,86,87</span>
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81x%5E4-16 Start with the given expression.

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%289x%5E2%29%5E2-%284%29%5E2=%289x%5E2%2B4%29%289x%5E2-4%29 Plug in A=9x%5E2 and B=4.

So this shows us that 81x%5E4-16 factors to %289x%5E2%2B4%29%289x%5E2-4%29.

In other words 81x%5E4-16=%289x%5E2%2B4%29%289x%5E2-4%29.

Now let's factor 9x%5E2-4 further

-------------------------------------

 

9x%5E2-4 Start with the given expression.

%283x%29%5E2-4 Rewrite 9x%5E2 as %283x%29%5E2.

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Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=3x and B=2.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%283x%29%5E2-%282%29%5E2=%283x%2B2%29%283x-2%29 Plug in A=3x and B=2.

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In other words 9x%5E2-4=%283x%2B2%29%283x-2%29.

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Answer:

So 81x%5E4-16 completely factors to %289x%5E2%2B4%29%283x%2B2%29%283x-2%29

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