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bulgar [2K]
3 years ago
14

In the xy-plane, if (-1, 0) is a solution to the system of inequalities y < x + c and y < -x - d, which of the following m

ust be true about c and d? (10 POINTS + BRAINLIEST ANSWER!!)
A. c = d

B. c = -d

C. c < d

D. d < c
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
5 0

Answer:

76 87 12 35 67

Step-by-step explanation:vthats right

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3 years ago
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

P(A\cup B)^C=0.06\implies P(A\cup B)=0.94

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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)

\implies P(A)=P(B\mid A)P(A)+P(B^C\mid A)P(A)

\implies 1=P(B\mid A)+P(B^C\mid A)

so that B\mid A and B^C\mid A are complementary.

By definition of conditional probability, we have

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

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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

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

By the law of total probability,

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)]

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

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