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From an ordinary deck of 52 cards, cards are drawn one by one, at random and without replacement. What is the probability that the third heart is drawn on the eleventh draw? Hint: Let F denote the event that in the rst ten draws there are exactly two hearts, and E be the event that the eleventh draw is a heart. Use P (EF) = P (F)P (E|F).
1. Explain the geometric sense of a linear system in two variables. Describe the possible cases. 2. Geometric sense of a linear system of inequalities in two variables.
List all the elements of X that are less than 30 - the set X of all binary strings having the same number of O's and 1's is defined
A manufacturer finds that the total profit from producing and selling Q units of a product is given by the profit function:
Give an example of a dictionary for which the current basic feasible solution is optimal and yet the coefficients of the non-basic variables in the z row are not all negative - Derive the dual of the new LP. Verify that an optimal dual solution wil..
A plane is heading due south with an air speed of 288 mph. A wind from a direction of 58° is blowing at 20 mph. Find the bearing of the plane.
How far is Jared's school from the grocery store? Round the answer to the nearest tenth.
a carpenter is building a rectangular room with a fixed perimeter of 104 ft. what dimensions would yield the maximum area? what is the maximum area?
A fair die is rolled five times. Calculate the probability of obtaining exactly two 1s. (Round your answer to four decimal places.)
The perimeter of a regulation singles tennis court is 210 feet and the length is 3 feet less than three times the width. What are the dimensions of the court?
the perimeter of a playing field for a certain sport is 188 ft. the length is 46 ft longer than the width. find the dimensions.
Pick any one method that can be used here, just name the method you used and explain how you will find the polynomial that will represent the length of the deck? Hint: Area of deck = length * width.
If one gallon of paint has a volume of approximately 4000 cm3, what is the maximum number of whole gallons of paint that can be poured into the bucket?
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