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Dennis_Churaev [7]
3 years ago
10

Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.​

Mathematics
1 answer:
Hatshy [7]3 years ago
8 0

Answer:

AB=1

Step-by-step explanation:

Colinear means all points are on the same line. We need to find the measure of AB.

Using the segment addition postulate,

ab+bc=ac

Subsitue this for our known values

2x + 15 + 9 = x + 17

Solve for x

2x + 24 = x + 17

x + 24 = 17

x =  - 7

Plug this in for AB

2( - 7) + 15 = 1

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There are three power plants [X, Y, Z] that at any given time each one either generates electricity or idles. Event A is that pl
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We're told that

P(A\cap B)=0.15

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where the last fact is due to the law of total probability:

P(A)=P(A\cap B)+P(A\cap B^C)

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We make use of the addition rule and complementary probabilities to rewrite this as

P(A\cap B)=P(A\cap B^C)

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\implies2P(B)=[1-P(A\cup B)^C]+[1-P(A\cup B^C)]

\implies2P(B)=P(A\cup B)+P(A\cup B^C)^C

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P(B)=P(A\cap B)+P(A^C\cap B)

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2P(B)=P(A\cup B)+[P(B)-P(A\cap B)]

\implies P(B)=P(A\cup B)-P(A\cap B)

\implies P(B)=0.94-0.15=\boxed{0.79}

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