Answer:
3
Step-by-step explanation:
The x-coordinate of the accident is a random variable of uniform distribution with range [-1.5,1.5]. The same can be said for the y-coordinate. However, |x| and |y| are also uniform variables with range [0,1.5], since we still have the same probability on every pair of intervals with the same lenght.
Note that |X| and |Y| are independent with each other, therefore E(|x|+|y|) = E(|x|) + E(|y|) = 2*E(|x|). The last equality holds because both x and y are identically distributed, then so are |x| and |y|.
E(|x|) =
Therefore, E(|x| + |y|) = 2 * 3/2 = 3.
I hope that works for you!
Answer:
2 days.
Step-by-step explanation:
Let, Sofia can type the x amount of work in 10 hours.
So, in one hour Sofia can type amount of work.
Again, Nova can type x amount of work in 15 hours.
So, in one hour Nova can type amount of work.
Hence, if they work together, they can type amount of work in one hour.
Therefore, working together they can type the x amount of work in days.
So, they have to work for (6 - 4) = 2 days more to finish the work. (Answer)
In the Triangle ABD, Using Pythagoras theorem we can write
In the Triangle ACD using Pythagoras Theorem
Now in the larger Triangle ABC, we can write
Now substitute the values from the above equations we get