Answer:
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Answer:
x = 9
Step-by-step explanation:
Rule: the two interior angles F and E when added, equal <FGH.
so
6x + 16 + 60 = 13x + 13 Combine the terms on the left.
6x + 76 = 13x + 13 Subtract 13 from both sides.
6x + 76-13 = 13x Combine
6x + 63 = 13x Subtract 6x from both sides.
63 = 7x Divide by 7
63/7 = x
x = 9
Answer:
90.91% probability that a car needs an oil change given that it has a certain factory defect
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this problem, we have that:
Event A: having a factory defect.
Event B: needing an oil change.
The probability that a car has a certain factory defect is 825.
So 
The probability that a car has a certain factory defect and needs an oil change is 750.
So 
What is the probability that a car needs an oil change given that it has a certain factory defect
90.91% probability that a car needs an oil change given that it has a certain factory defect
Answer:
Step-by-step explanation:
5x+3y=1
4x-5y=4
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4(5x+3y)=4(1)
-5(4x-5y)=-5(4)
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20x+12y=4
-20x+25y=-20
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37y=-16
y=-16/37
5x+3(-16/37)=1
5x-48/37=1
5x=1+48/37
5x=37/37+48/37
5x=85/37
x=(85/37)/5
x=(85/37)(1/5)
x=85/185
x=17/37
Answer: x=17/37, y=-16/37. (17/37, -16/37)
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5x+3y=1
8x-10y=4
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8(5x+3y)=8(1)
-5(8x-10y)=-5(4)
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40x+24y=8
-40x+50y=-20
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75y=-12
y=-12/75=-4/25
5x+3(-4/25)=1
5x-12/25=1
5x=1+12/25
5x=25/25+12/25
5x=37/25
x=(37/25)/5
x=(37/25)(1/5)
x=37/125
Answer: x=37/125, y=-4/25. (37/125, -4/25).
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5x+3y=1
9x-2y=5
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2(5x+3y)=2(1)
3(9x-2y)=3(5)
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10x+6y=2
27x-6y=15
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37x=17
x=17/37
5(17/37)+3y=1
85/37+3y=1
3y=1-85/37
3y=37/37-85/37
3y=-48/37
y=(-48/37)/3
y=(-48/37)(1/3)
y=-48/111
Answer: x=17/37, y=-48/111. (17/37, -48/111).
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