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alex41 [277]
3 years ago
8

F(x)=-4x - 5 g(x)=3x - 2 Find( f - g )(x)

Mathematics
2 answers:
Gnesinka [82]3 years ago
5 0
The way to solve this is simple subtraction of like terms after dealing with the negative.
-4x-5-(3x-2)
flip the signs associated with the negative (which is technically a -1)

-4x-5+3x+2
-4x + 3x = -1x=-x
-5+2= -3

-x-3
jok3333 [9.3K]3 years ago
4 0
#1 is 12x² -15x 

#2 is fx-9x

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P(X\cap Y\cap Z)=0.05

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From the question we are told that:

Percentage of audience in first concert P(X)=0.28

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Percentage of audience in third concert P(Z)=0.30

Audience Percentage at at-least one concert P(X \cup Y \cup Z)=0.80

Percentage of audience at first & second concert P(X \cap Y)=0.10

Percentage of audience in first & third concert P(X \cap Z)=0.08

Percentage of audience in second & third concert P(Y\cap Z)=0.07

 

Generally the equation for probability of attending all concerts P(X\cap Y\cap Z)is mathematically given by

P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)

P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)

P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70

P(X\cap Y\cap Z)=0.05

Therefore the probability that a randomly selected audient attended all the concerts

P(X\cap Y\cap Z)=0.05

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