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Alexus [3.1K]
3 years ago
13

For what value of a is the equation an identity? a(2x + 3) = 9x + 15 + x

Mathematics
1 answer:
saul85 [17]3 years ago
4 0
The answer to the question

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United Flight 15 from New York's JFK airport to San Francisco uses a Boeing 757-200 with 182 seats. Because some people with res
Tcecarenko [31]

Answer:

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

Step-by-step explanation:

For each passenger, there are only two outcomes possible. Either they show up for the flight, or they do not show up. This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

A probability is said to be unusually low if it is lower than 5%.

For this problem, we have that:

There are 200 reservations, so n = 200.

A passenger consists in a passenger not showing up. There is a .0995 probability that a passenger with a reservation will not show up for the flight. So \pi = 0.0995.

Find the probability that when 200 reservations are accepted for United Flight 15, there are more passengers showing up than there are seats available.

X is the number of passengers that do not show up. It needs to be at least 18 for the flight not being overbooked. So we want to find P(X < 18), with \pi = 0.0995, n = 200. We can use a binomial probability calculator, and we find that:

P(X < 18) = 0.2927.

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

5 0
2 years ago
Ben earns 9 dollars per hour and 6 dollars for each delivery he makes.He wants to earn more than 155 dollars in a 8 hour work da
Luden [163]
9 x 8 = 72
155 - 72 = 83
83 divided by 6 =13.8

So he has to make at least 14 deliveries in order to reach his goal.
6 0
2 years ago
Read 2 more answers
sweet T has 2 orange picks for every 5 green.If there are 21 picks in all,How many picks are orange?
kipiarov [429]
6 of the picks are orange.
8 0
3 years ago
Read 2 more answers
The length of a rectangle is 12cm and the area is 96cm what is the width
Paladinen [302]
The width is 8 cm . Because the rules to calculate the width that have length and area is take area divide the length . So you take 96 cm : 12 cm = 8 cm .
3 0
3 years ago
A truck can be rented from Company A for ​$120 a day plus ​$0.50 per mile. Company B charges ​$50 a day plus ​$0.70 per mile to
Oksanka [162]
120+.5x=50+.7x
Subtract 50 from both sides and then subtract .5x from both sides to get 70=.2x. Then divide both sides by .2 to get x=350.
4 0
3 years ago
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