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DiKsa [7]
2 years ago
9

3. The masses of two gorillas are given below. A female gorila has a mass of

Mathematics
1 answer:
loris [4]2 years ago
6 0
Answer: 135,000g

Hope this helped :)
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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
TEA [102]

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

    p = 0.96

Generally the mean is mathematically represented as

    \mu  =  n*  p

  => \mu  =  320 *  0.96

    => \mu  = 307.2

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

8 0
3 years ago
Which phrase is the best description of the association between variables X and Y?
Elodia [21]
The variables have a negative association/correlation, because when one value increases (ex: x) the other decreases (see y)
If you would put a line through the dataset most of the points would be quite a bit off the line so the association is only moderate and not strong

so the answer is it is a "moderate negative association"
3 0
2 years ago
Find 245÷4 . Write in simplest form
spin [16.1K]

Answer:

This is easy. to get t to its simplest form, you simply divide it to get the answer, so.....

Step-by-step explanation:

61.25 is your answer.

5 0
2 years ago
What fraction of students scored 70-79 on the math test?
Sever21 [200]

Answer: 3/11

Step-by-step explanation: Took the test

3 0
2 years ago
What is the surface area of a unit cube?
lisabon 2012 [21]

Answer:

6 units

Step-by-step explanation:

The total area that the surface of a 3-dimensional object would cover if its sides were laid flat is called it's surface area. Surface area is measured in square units. The surface area of a unit cube is 6 square units.

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