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Vitek1552 [10]
2 years ago
13

Simplify the expression with nested parentheses. 430+ 26+6−33

Mathematics
1 answer:
morpeh [17]2 years ago
8 0

Answer:

using bodmas.

6-33=-27.

430+26=456.

456-27=429

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An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha
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Answer:

The probability is   P(X  >300 ) = 0.97219

Step-by-step explanation:

From the question we are told that

 The capacity of  an Airliner  is  k =  300 passengers

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Generally the mean is mathematically represented as

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Generally the standard deviation is  

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Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

  P(X  > k ) =  P( \frac{ X -\mu }{\sigma }  >  \frac{k - \mu}{\sigma } )

Here \frac{ X -\mu }{\sigma }  =Z (The \ standardized \  value \  of  \ X )

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Now applying  continuity correction we have

    P(X  >300 ) =  P(Z >  \frac{[300+0.5] - 307.2}{3.50} )    

=>    P(X  >300 ) =  P(Z >  \frac{[300.5] - 307.2}{3.50} )

=>    P(X  >300 ) =  P(Z >  -1.914 )

From the z-table  

    P(Z >  -1.914 ) =  0.97219

So

    P(X  >300 ) = 0.97219

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