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masya89 [10]
3 years ago
11

If f(x)=x^2+9x and g(x)=1/x, find f(g(-1)).

Mathematics
2 answers:
shtirl [24]3 years ago
8 0

Answer:

x=3

Step-by-step explanation:

x^2-9

bcos g(-1)=-1

f(g)=x^2+9(-1)=0

x^2-9=0

x^2=9

x=√9

x=3

Sergeeva-Olga [200]3 years ago
8 0
<h2><u><em>Answer:</em></u></h2><h2><u><em>dfgsdfgjfsdpogjpdisfiodfsgjdfgoipgdsfjiojgidfjiogdfjgdosfjoigpdjoigfddhfguopaszghsdfpgbnhdfijpghsdjfkghdfsghupdssghujidghsdfjgkldfkdhfguopaszghsdfpgbnhdfijpghsdjfkghdfsghupdssghujidghsdfjgkldfkdhfguopaszghsdfpgbnhdfijpghsdjfkghdfsghupdssghujidghsdfjgkldfkdhfguopaszghsdfpgbnhdfijpghsdjfkghdfsghupdssghujidghsdfjgkldfk</em></u></h2><h2><u><em>Explanation:</em></u></h2><h2><u><em>dfgsdfgjfsdpogjpdisfiodfsgjdfgoipgdsfjiojgidfjiogdfjgdosfjoigpdjoigfddhfguopaszghsdfpgbnhdfijpghsdjfkghdfsghupdssghujidghsdfjgkldfkdhfguopaszghsdfpgbnhdfijpghsdjfkghdfsghupdssghujidghsdfjgkldfkdhfguopaszghsdfpgbnhdfijpghsdjfkghdfsghupdssghujidghsdfjgkldfkdhfguopaszghsdfpgbnhdfijpghsdjfkghdfsghupdssghujidghsdfjgkldfk</em></u><em><u>dfgsdfgjfsdpogjpdisfiodfsgjdfgoipgdsfjiojgidfjiogdfjgdosfjoigpdjoigfddhfguopaszghsdfpgbnhdfijpghsdjfkghdfsghupdssghujidghsdfjgkldfkdhfguopaszghsdfpgbnhdfijpghsdjfkghdfsghupdssghujidghsdfjgkldfkdhfguopaszghsdfpgbnhdfijpghsdjfkghdfsghupdssghujidghsdfjgkldfkdhfguopaszghsdfpgbnhdfijpghsdjfkghdfsghupdssghujidghsdfjgkldfk</u></em></h2>

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Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the air
gladu [14]

Answer:

a) P(B'|A) = 0.042

b) P(B|A') = 0.625

Step-by-step explanation:

Given that:

80% of the light aircraft that disappear while in flight in a certain country are subsequently discovered

Of the aircraft that are discovered, 63% have an emergency locator,

whereas 89% of the aircraft not discovered do not have such a locator.

From the given information; it is suitable we define the events in order to calculate the probabilities.

So, Let :

A = Locator

B = Discovered

A' = No Locator

B' = No Discovered

So; P(B) = 0.8

P(B') = 1 - P(B)

P(B') = 1- 0.8

P(B') = 0.2

P(A|B) = 0.63

P(A'|B) = 1 - P(A|B)

P(A'|B) = 1- 0.63

P(A'|B) = 0.37

P(A'|B') = 0.89

P(A|B') = 1 - P(A'|B')

P(A|B') = 1 - 0.89

P(A|B') = 0.11

Also;

P(B ∩ A) = P(A|B) P(B)

P(B ∩ A) = 0.63 × 0.8

P(B ∩ A) = 0.504

P(B ∩ A') =  P(A'|B) P(B)

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P(B ∩ A') = 0.296

P(B' ∩ A) = P(A|B') P(B')

P(B' ∩ A) = 0.11 × 0.2

P(B' ∩ A) = 0.022

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Similarly:

P(A) = P(B  ∩  A ) + P(B'  ∩  A)

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P(A) = 0.526

P(A') = 1 - P(A)

P(A') = 1 - 0.526

P(A') =  0.474

The probability that it will not be discovered given that it has an emergency locator is,

P(B'|A) =  P(B' ∩ A)/P(A)

P(B'|A) = 0.022/0.526

P(B'|A) = 0.042

(b) If it does not have an emergency locator, what is the probability that it will be discovered?

The probability that it will be discovered given that it does not have an emergency locator is:

P(B|A') = P(B ∩ A')/P(A')

P(B|A') = 0.296/0.474

P(B|A') = 0.625

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