1. Consider the following Linear Programming problem: Max Z = 5x1 + x2
S. a: X1 + 2x2 > 1
4.x1 + x2 < 0
X1, X2 > 0
(a)
(b) Find the optimal solution of this problem using the Simplex Algorithm.
(c) Is the optimal solution found on the previous question unique? Why?

You were told that the amount of time lapsed between consecutive trades on the new york stock exchange followed a normal distribution with a mean of 15 seconds. you were also told that the probability that the time lapsed between two consecutive trades to fall between 16 to 17 seconds was 13%. the probability that the time lapsed between two consecutive trades would fall below 13 seconds was 7%. what is the probability that the time lapsed between two consecutive trades will be between 14 and 15 seconds?

1) in triangle the, what is the measure of angle t (in degrees)? 2) in triangle bat, the measure of angle b is 66∘, and the measure of angle t is 77∘.what is the measure of the exterior angle at a (in degrees)?

The area of a circle is equal to 1 dm². find the radius of the circle.