Answer:
Step-by-step explanation:
<em>Note all arguments of trigonometric functions are in degrees.</em>
<em />
Since tan(35)=4/(longer dotted leg of the triangle), the length of this longer dotted leg is thus 4/tan(35).
Since A=bh, the area is (4/tan35)(12), and you can just plug this into a calculator.
Answer:
The expected number of days until prisoner reaches freedom is 12 days
Step-by-step explanation:
From the given information:
Let X be the random variable that denotes the number of days until the prisoner reaches freedom.
We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;
E(X) = E( E[X|Y] )
E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}
![E(X) = (2 + E[X])\dfrac{1}{2}+ (4 + E[X])\dfrac{3}{10}+ 1 (\dfrac{2}{10})](https://tex.z-dn.net/?f=E%28X%29%20%3D%20%282%20%2B%20E%5BX%5D%29%5Cdfrac%7B1%7D%7B2%7D%2B%20%284%20%2B%20E%5BX%5D%29%5Cdfrac%7B3%7D%7B10%7D%2B%201%20%28%5Cdfrac%7B2%7D%7B10%7D%29)
![E(X) = (2 + E[X])0.5+ (4 + E[X])0.3+ 0.2](https://tex.z-dn.net/?f=E%28X%29%20%3D%20%282%20%2B%20E%5BX%5D%290.5%2B%20%284%20%2B%20E%5BX%5D%290.3%2B%200.2)
Solving for E[X]; we get
E[X] = 12
Answer:
1,440 bottles will be packed in an hour
Step-by-step explanation:
Firstly, we need to calculate the Amount of Distance the conveyor belt will move in an hour.
Now the speed with which it moves is 2 feet per seconds. We calculate the number of seconds in a hour= 60 * 60 = 3600 seconds. The total distance is thus 3,600 * 2 = 7,200 ft
Now, to calculate the number of bottles to be packed in an hour, we simply divide the total distance covered by the distance between the bottles = 7,200/5 = 1,440 bottles
Answer:
4√5 or 8.94427190....
Step-by-step explanation:
