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Oksana_A
3 months ago
12

A man starts at the point O on the map below. He chooses a path at random and follows it to point B1, B2, or B3. From that point

, he chooses a new path at random and follows it to one of the points A1 – A7. Suppose the man arrives at point A4, but it is not known which route he took, what is the probability that he passed through each of the three points: B1, B2, B3? Calculate each one.
Mathematics
1 answer:
Zina [12.3K]3 months ago
6 0

Answer: 1 / 27

Detailed breakdown: p (B1) = 1 / 3

p (B2) = 1 / 3

p (B3) = 1 / 3

Probability of (B1 and B2 and B3) = 1 / 3 multiplied by 1 / 3 multiplied by 1 / 3 = 1 / 27

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Find the missing endpoint if s is the midpoint of rt r(-9,4) and s(2,-1) ; find T
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Answer: The coordinates of point T are (13, -6).

Step-by-step explanation: Given that point S is the midpoint of segment RT, with coordinates R(-9, 4) and S(2, -1),

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The midpoint formula states that the midpoint between points (a, b) and (c, d) is ((a + c)/2, (b + d)/2).

Let T be (h, k). According to the problem:

\left(\dfrac{-9+h}{2},\dfrac{4+k}{2}\right)=(2,-1)\\\\\\\Rightarrow \dfrac{-9+h}{2}=2\\\\\Rightarrow -9+h=4\\\\\Rightarrow h=4+9\\\\\Rightarrow h=13

\dfrac{4+k}{2}=-1\\\\\Rightarrow 4+k=-2\\\\\Rightarrow k=-2-4\\\\\Rightarrow k=-6.

Solving these equations yields T at (13, -6).

So, the required coordinates for point T are (13, -6).

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3 months ago
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Peaches are being sold for $2 per pound. If x represents the number of pounds of peaches bought and yrepresents the total cost o
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Two thirds of a straight angle
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2 months ago
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