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Aleks [24]
3 years ago
11

PLEASE HELP PEOPLE!!!!!

Mathematics
1 answer:
Pavel [41]3 years ago
7 0

4 rectangles are 6 x 4

4 triangles are 4x 4

1 square is 6x 6

Area :

6 x 4 = 24 x 4 = 96

1/2 x 4 x 4 = 8 x 4 = 32

6 x 6 = 36

96 + 32 + 36 = 164 square inches.

The answer is A

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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

 The sample size n =  320 passengers

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Generally the mean is mathematically represented as

    \mu  =  n*  p

  => \mu  =  320 *  0.96

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Generally the standard deviation is  

    \sigma =  \sqrt{n *  p *  (1 -p ) }

=>  \sigma =  \sqrt{320  *  0.96 *  (1 -0.96 ) }

=> \sigma =3.50

Applying Normal approximation of binomial distribution

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 )

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

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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c=b^a

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Answer:

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