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8090 [49]
3 years ago
9

A coin is to be tossed until a head appears twice in a row. What is the sample space for this experiment? If the coin is fair, w

hat is the probability that it will be tossed exactly four times?
Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Answer:

The sample space would be infinite

{HH, TTTHH, TTTTHH, TTTTTTTHH.......................}

1/8

Step-by-step explanation:

The sample space would be infinite

{HH, TTTHH, TTTTHH, TTTTTTTHH.......................}.

This is because the number of times the coin would be flipped is not specified. So, you can keep flipping the coin forever.

If the coin is tossed four times then the sample space would be

{HHHH HTHH THHH HTHT

HHHT HTTH TTHH THTH

HHTT HHTH TTTH THHT

HTTT TTTT TTHT THTT}

HTHH and TTHH are the only two cases where two consecutive tosses will result in two heads

Probability that the coin will be tossed four times is 2/16 = 1/8

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What is the area of a triangle whose side is 17 meters long​
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Answer:

125.141

Step-by-step explanation:

Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.

17 is our hypotenuse

17/2 = 8.5, this is one of our legs

The other leg is our height, which we will find.

We use Pythagoras Theorem to find the height/leg: a^{2} +b^{2} =c^{2}

17^{2} -8.5^{2} = 216.75

\sqrt{216.75} = 14.72243186

Now, we use another formula to find the area of the triangle: \frac{Base*Height}{2}

14.72243186 × 17 = 250.2813416

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3 years ago
Could some help thank you
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Answer:

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6 0
2 years ago
A building casts a shadow 10 ft long. A statue in front of the building casts a shadow 2.5 ft long. If the statue is 15 ft tall,
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4 0
3 years ago
Find the value of x<br><br> A. 12<br> B. 13<br> C. 5<br> D. 7
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
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snow_tiger [21]
Answer: x = -11

Step-By-Step:
We can start by combining like terms on the left side.
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Now we need to distribute the negative on the right side.
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Now combine like terms on the right.
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Now add 20 to the other side
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Now divide by -2.
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6 0
3 years ago
Read 2 more answers
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