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tigry1 [53]
3 years ago
15

The domain of g(x) =(x+1)(2x-5) is (-4,-2,01) what is the range

Mathematics
1 answer:
lions [1.4K]3 years ago
7 0

Answer:

D: {-4, -2, 1}

R: {39, 9, -10}

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
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
Jason tracked the days of the week for the last 50 times he was assigned homework.
vovangra [49]

Answer:

Hello, mizuki here to help!

The correct answer would be C

Step-by-step explanation:

Ok, so the total of homework he got was 50, and the number of homework he got in monday was 16.

So.... it should be expressed as 16/50 which would be 0.32

3 0
3 years ago
Lakshmi donates 20% of her income to charity. What fraction of her income does Lakshmi donate to charity?​
tigry1 [53]

Answer:1/5

Step-by-step explanation:

20/100=1/5

5 0
3 years ago
Color-blindness is any abnormality of the color vision system that causes a person to see colors differently than most people, o
creativ13 [48]

Answer: c) All of the above

Step-by-step explanation:

a) X=the number of color-blind males of the randomly chosen 20 individuals

Thus, X is binomial with n = 20 and p = 0.08.

Y represents the number of color-blind females of the randomly chosen 40 individuals

Thus, Y is also binomial with n = 40 and p = 0.01.

b) However, Z represents the total number of color-blind  which is 60. The probability of being color-blind is not equal among all individuals as it is for X (0.08) and Y (0.09). Thus, Z is not binomial.

In conclusion both a and b are correct, which gives the correct answer number c) all of the above.

7 0
3 years ago
Glenda paid $23 for 6 books.What is the rate that Glenda paid for each book?
Gnoma [55]

Answer:

$3.83

Step-by-step explanation:

23 divided by 6=3.83333333333.....

We round to nearest cent. 3.83

6 0
3 years ago
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