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Montano1993 [528]
3 years ago
8

The perimeter of a rectangle is 30 cm. The width of the rectangle is 7 cm.

Mathematics
1 answer:
kolezko [41]3 years ago
4 0

Answer:

area is 56

Step-by-step explanation:


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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

  The probability the a randomly selected passenger shows up on to the airport

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Generally the mean is mathematically represented as

    \mu  =  n*  p

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=> \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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3 years ago
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Answer:

6 x 340 = 2,040

Step-by-step explanation:

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