The height of the box is:
4 ft.
<h2>Step-by-step explanation:</h2>Let "h" denotes the height of the box.
Length of box is denoted by "l"
and breadth or width of box is denoted by "b"
We are given l=18 ft
b=8 ft.
Also we are given surface area of rectangular box= 496 ft²
As we know that the surface area of box is given by:
i.e.
Divide both side by 2.
on dividing both side by 26 we get:
Hence, the height of the box is:
4 ft.
Answer:
The expected number of minutes the rat will be trapped in the maze is 21 minutes.
Step-by-step explanation:
The rat has two directions to leave the maze.
The probability of selecting any of the two directions is, .
If the rat selects the right direction, the rat will return to the starting point after 3 minutes.
If the rat selects the left direction then the rat will leave the maze with probability after 2 minutes. And with probability
the rat will return to the starting point after 5 minutes of wandering.
Let <em>X</em> = number of minutes the rat will be trapped in the maze.
Compute the expected value of <em>X</em> as follows:
Thus, the expected number of minutes the rat will be trapped in the maze is 21 minutes.