What is the terminal point of the vector \mathbf{a}=\left< 5,2\right> based at p=\left(4,1\right)?

The terminal point of the given vector is (9,3).

Step-by-step explanation:

The given vector is

If initial point is and terminal point is , then vector PQ is defined as

Initial point is P=(4,1). Let (a,b) are the coordinates of terminal point.

On comparing both sides we get

Therefore, the terminal point of the given vector is (9,3).

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0