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3 years ago

10

- 12. What is the greatest common factor of 120 and 84?

2 answers:

sweet [91]3 years ago

7 0

Answer:

12 (the third one is the greatest common factor of 120 and 84)

inna [77]3 years ago

7 0

Answer:

12

Step-by-step explanation:

factors of 120. 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,80,120

factors of 84: 1,2,3, 4,6,7,12,14,28,42,84

greatest common factor=12

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sattari [20]

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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

insens350 [35]

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:

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

By definition of conditional probability, we have

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

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$\implies P(B)-[1-P(A\cup B)^C]=[1-P(B)]-P(A\cup B^C)$

$\implies2P(B)=2-[P(A\cup B)^C+P(A\cup B^C)]$

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

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

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$\implies P(A^C\cap B)=P(B)-P(A\cap B)$

and substituting this into $(*)$ gives

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

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

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3 years ago

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Juli2301 [7.4K]

Answer:

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3 years ago