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Question: Refer to the accompanying Venn diagram. An experiment in which the three mutually exclusive events A, B, and C form a partition of the uniform sample space S is depicted in the diagram. Find:
a. P(Dc )
b. P(B | Dc )
Find the point (x1, x2, x3) at which the following function attains an extremum. Also, classify the nature of the extremum (minimum, maximum, saddle.)F(x)=2x1x1+4x1x2+4x2x20-4x2x3+4x3x3-2x1-x2+x3+4
Consider the vectors v1, v2, v3, and b in R2, shown in the figure. Does the equation x1v1 + x2v2 + x3v3 = b have a solution? Is the solution unique?
How do the graphical and computer-based methods of solving LP problems differ? In what ways are they the same? Under what circumstances would you prefer to use the graphical approach?
A car is traveling on a straight road with velocity at time . For seconds, the car's acceleration , in , is the piecewise linear function defined by the graph above.
Consider a rectangular box of volume 100 cubic centimters. Suppose that the base is a rectangle with sides x centimeters and 2x centimeters. Let hx give the height of the box in centimeters and let Ax be the total area of the six sides of the box.
a radio transmission tower is 200 feet tall. How long should a guy wire be if it is to be attached 14 feet from the top and is to make an angle of 23 degrees with the ground?
Tell how you could use a proportion to find 138% of 967.Why is the solution greater than the original number?
1. Wang Distributors has an annual demand for an airport metal detector of 1,400 units. The cost of a typical detector to Wang is $400. Carrying cost is estimated to be 20% of the unit cost, and the ordering cost is $25 per order. If Ping Wang, t..
The height , y meters, of an emergency flare fired upward from a small boat can by modelled by the function y= -5(x-4)squared+80, where x seconds is the time since flare was fired.
One resident of this community has an old, working refrigerator whose food-storage compartment has the following dimensions: 44 inches from top to bottom, 24 inches from left to right, and 17 inches from front to back. Does the food-storage capaci..
Should we make money by selling volume, or should we make money by selling high prices?
Use the dot product to determine whether v and w are orthogonal. Find projwv. Then decompose v into two vectors, v1 and v2, where v1 is parallel to w and v2 is orthogonal to w
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