Answer:
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. You have the following perfect square trinomial given in the problem:
2. To fill the missing term, you must divide the coefficient -16 by 2 and then you must square it, as following:
Answer:
transition 1 would be 5 to the right
transition 2 would be 1 down
Step-by-step explanation:
If you know the slope and a point, the best option is to represent the line in the point-slope form which is:
(y-y1)=m(x-x1), where (x1,y1) is the point and m=slope
Answer:
3.141592653589793238462643383279502884197
Step-by-step explanation:
For three fair six-sided dice, the possible sum of the faces rolled can be any digit from 3 to 18.
For instance the minimum sum occurs when all three dices shows 1 (i.e. 1 + 1 + 1 = 3) and the maximum sum occurs when all three dces shows 6 (i.e. 6 + 6 + 6 = 18).
Thus, there are 16 possible sums when three six-sided dice are rolled.
Therefore, from the pigeonhole principle, <span>the minimum number of times you must throw three fair six-sided dice to ensure that the same sum is rolled twice is 16 + 1 = 17 times.
The pigeonhole principle states that </span><span>if n items are put into m containers, with n > m > 0, then at least one container must contain more than one item.
That is for our case, given that there are 16 possible sums when three six-sided dice is rolled, for there to be two same sums, the number of sums will be greater than 16 and the minimum number greater than 16 is 17.
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