Mathematics, 14.05.2021 20:00 puppystar159p51vxk

An airline company is considering a new policy of booking as many as 318 persons on an airplane that can seat only 310. (Past studies have revealed that only 90% of the booked passengers actually arrive for the flight.) Estimate the probability that if the company books 318 persons. not enough seats will be available.

Answers: 1

Show answers

Answers

Answer from: jjxt126

Hence, the required probability is 0.0004 .

Given :

$90\%$ of the booked passengers arrive for the flight.

Number of booked passengers n =318

Number of seats available x =310

To find :

The probability that if the company books 318 persons.

Explanation :

n=318,x=310

$P=0.09(90\%)$

Mean $\bar{x}=nP$

$\Rightarrow \bar{x}=318\times 0.09$

$\Rightarrow \bar{x}=28.62$

Standard deviation $\sigma =\sqrt{nPq$ where q=1-P

$\Rightarrow \sigma =\sqrt{318\times 0.09\times 0.91}$

$\Rightarrow \sigma=\sqrt{26.0442}$

$\Rightarrow \sigma =5.1033$

Required probability =P(x310)

=1-P(x

$=1-P(\frac{x-\bar{x}}{\sigma}$

=1-P(z

=1-0.9995

=0.0004

Answer from: Quest

there would be 365 different 4 digit numbers

step-by-step explanation:

i belive that it is 365 because i asked google

Answer from: Quest

(2 x^3 + 7 x^2 + 5 x + 2)/(x (x + 2))

step-by-step explanation:

simplify the following:

x/x^2 + 3 x + 2 - (x (x + 1))/(x + 2)

combine powers. x/x^2 = x^(1 - 2):

x^(1 - 2) + 3 x + 2 - (x (x + 1))/(x + 2)

1 - 2 = -1:

x^(-1) + 3 x + 2 - (x (x + 1))/(x + 2)

put each term in 1/x + 3 x + 2 - (x (x + 1))/(x + 2) over the common denominator x (x + 2): 1/x + 3 x + 2 - (x (x + 1))/(x + 2) = (x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)):

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2))

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)) = ((x + 2) + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2)):

(2 + x + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

3 x^2 (x + 2) = 3 x^3 + 6 x^2:

(2 + x + 3 x^3 + 6 x^2 + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

2 x (x + 2) = 2 x^2 + 4 x:

(2 + x + 6 x^2 + 3 x^3 + 2 x^2 + 4 x - x^2 (x + 1))/(x (x + 2))

-x^2 (x + 1) = -x^2 - x^3:

(-x^2 - x^3 + 3 x^3 + 6 x^2 + 2 x^2 + 4 x + x + 2)/(x (x + 2))

grouping like terms, 3 x^3 - x^3 + 6 x^2 + 2 x^2 - x^2 + 4 x + x + 2 = (3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2:

((3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

3 x^3 - x^3 = 2 x^3:

(2 x^3 + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

6 x^2 + 2 x^2 - x^2 = 7 x^2:

(2 x^3 + 7 x^2 + (x + 4 x) + 2)/(x (x + 2))

x + 4 x = 5 x:

answer: (2 x^3 + 7 x^2 + 5 x + 2)/(x (x + 2))

Another question on Mathematics

Mathematics, 21.06.2019 20:00

The weight v of an object on venus varies directly with its weight e on earth. a person weighing 120 lb on earth would weigh 106 lb on venus. how much would a person weighing 150 lb on earth weigh on venus?

Answers: 2

Answer

Mathematics, 21.06.2019 21:40

Drag the tiles to the correct boxes to complete the pairs. using the properties of integer exponents, match each expression with the correct equivalent expression.

Answers: 1

Answer

Mathematics, 21.06.2019 23:00

Can someone me with my math problems i have a bunch. i will give brainliest and lots of pleeeaaasssee

Answers: 2

Answer

Mathematics, 21.06.2019 23:30

The complement of an angle is one-sixth the measure of the supplement of the angle. what is the measure of the complement angle?

Answers: 3

Answer

You know the right answer?

An airline company is considering a new policy of booking as many as 318 persons on an airplane that...