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Two trains leave stations 408 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet.
Find the probability of Type I error
Derive the statement as corollaries of other theorems from the text or of statement you have proved true in the exercise.
A man in rowboat at point P, 150km from the shore, wishes to reach a point B, 600 km down shore, in the shortest amount of time. Where should he land if he can row at 4km/hr and walk at 7km/hr?
Find the maximum margin separating hyperplane by solving the dual lagrangian constrained optimization problem. What is the value of the margin?
A 112 ft tower is located on the side of a mountain that is inclined 20° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 72 ft downhill from the base of the tower. Find the shortest length of wire ne..
Maria and Thomas are part of a group of 8 women and 8 men who will participate in a chess tournament. The 16 players will be randomly paired up into groups of two.
Solve the system of equations by the substitution method. State whether equation is independent, dependent, or inconsistent.
Let vector r(t) = t i + t^2 j represent a plane curve. Find T(t), T(1) and N(1). Sketch the plane curve and graph the vectors T(1) and N(1) at the point t = 1.
Solve the problem on percentages
Find the distance of the ship from the lighthouse.
Helium is pumped into a spherical balloon at a constant rate of 2 cubic feet per second. How fast is the radius increasing after 3 minutes? At what time (if any) is the radius increasing at a rate of 120 feet per second?
Given a unit line segment AB (2 cm) construct a segment of length (1+Sqrt[5])/2. Given the unit segment above and construct a segment of length Sqrt[2/3]
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