A coin that, when flipped, comes up heads with probability p is flipped until either heads or tails has occurred twice. Find the
expected number of flips.
1 answer:
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Answer:
54°
Step-by-step explanation:
Your triangle is isosceles. You have been given the third angle, and you have been asked to find the measure of one of the two equal angles. We know that the internal angles of a triangle sum to 180, so
You did not give any choices but this can easily be solved using the FOIL method.
FOIL stands for First, Outside, Inside, Last.
In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter
First: Means first terms of each set. In this case 6x and 6x
6x x 6x =
Now you have your first term in the sequence.
Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term
Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term
Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4 This is your last term
Now you have what you need for your new equation:
Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with:
This is your product
FOIL stands for First, Outside, Inside, Last.
In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter
First: Means first terms of each set. In this case 6x and 6x
6x x 6x =
Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term
Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term
Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4 This is your last term
Now you have what you need for your new equation:
Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with: