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:
.
How old is her father now? That question has no answer.
Only true statement for function f(x) = 
is <u>c. if the value of x increases by 1, the value of y will triple</u>.
<u>Step-by-step explanation:</u>
<u>a. the function decreases
</u>
f(x) = , For value of x<1 function decreases and for x>1 function increases . False statement .
<u>c. if the value of x increases by 1, the value of y will triple.
</u>
For value of x increases by 1 we have , 
. True statement.
<u>b. the function has a y-intercept of (0, 3)
</u>
At y intercept x=0, f(x) = , 
. Function has a y-intercept of (0,3). False statement.
<u>d. the function contains the point (1, 4)</u>
At x=1, 
. Function contains (1,12) not (1,4) . False statement.
Answer:
Step-by-step explanation:
For the right triangular prism, the base is a right triangle with sides of lengths 3 in, 4 in, and 5 in. If the prism has a height of 6 inches
