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Karolina [17]
3 years ago
13

A fair coin is tossed 5 times in a row. The exact probability of the coin landing heads exactly 2 times is?

Mathematics
1 answer:
OLga [1]3 years ago
5 0

|\Omega|=2^5=32\\|A|=10\\\\P(A)=\dfrac{10}{32}=\dfrac{5}{16}

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What are the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1)?
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Answer:

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Step-by-step explanation:

To find the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1), we are going to be using the midpoint formula, which states that:

The midpoint is at (\frac{x_{1} +x_{2} }{2}, \frac{y_{1} +y_{2} }{2}). Where:

(x_{1}, x_{2}) = (-6, 6)

(y_{1}, y_{2}) = (-3, 1)

Then, the midpoint is at:

(\frac{-6 +6 }{2}, \frac{-3+1}{2}) = (0, -1)

Now, to find the coordinates of the point that is 1/4 of the way, we are going to calculate the midpoint between the point 'A' and the midpoint previously caculated, as follows:

(x_{1}, x_{2}) = (-6, 0)

(y_{1}, y_{2}) = (-3, -1)

⇒ (\frac{-6 +0}{2}, \frac{-3-1}{2}) = (-3, -2)

Therefore, the point is 1/4 of the way from A to B is:  (-3, -2)

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