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Kisachek [45]
3 years ago
6

You asked to go buy bags of dry cement and know that one bag cover 350 square feet how many bags do you need to buy to finish th

is project
Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0

Answer:

how big is the project

Step-by-step explanation:

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A city hosted a music festival that included three concerts. According to the sales database, 28% of the audience attended the f
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Answer:

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

Step-by-step explanation:

From the question we are told that:

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

Percentage of audience in second concert P(Y)=0.42

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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Step-by-step explanation:

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Which comparison is true?
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Step-by-step explanation:

The comparison 0.3 > 0.09 is true.

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All other options are false. They should have a less than sign instead of a greater than sign.

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