Write an expression:
1 answer:
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Answer:
Approximately (
.) (Assume that the choices of the
passengers are independent. Also assume that the probability that a passenger chooses a particular floor is the same for all
floors.)
Step-by-step explanation:
If there is no requirement that no two passengers exit at the same floor, each of these passenger could choose from any one of the
floors. There would be a total of
unique ways for these
passengers to exit the elevator.
Assume that no two passengers are allowed to exit at the same floor.
The first passenger could choose from any of the floors.
However, the second passenger would not be able to choose the same floor as the first passenger. Thus, the second passenger would have to choose from only floors.
Likewise, the third passenger would have to choose from only floors.
Thus, under the requirement that no two passenger could exit at the same floor, there would be only unique ways for these two passengers to exit the elevator.
By the assumption that the choices of the passengers are independent and uniform across the floors. Each of these
combinations would be equally likely.
Thus, the probability that the chosen combination satisfies the requirements (no two passengers exit at the same floor) would be:
.
Answer:
The length of slide is 18.36 meters
Step-by-step explanation:
The given scenario forms a right-angled triangle where
The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.
Height of tower = h = 16 meters
Distance between slash pool and base of tower = b = 9 meters
Length of slide = s = ?
As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide
Pythagoras theorem states that:
Hence,
The length of slide is 18.36 meters