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A rectangular sheet of tin plate is 20 cm by 16 cm and is to be made into an open box with a base having an area of 140 cm2 , by cutting out equal squares from the four corners and then bending the edges upwards. Find the size of the squares cut out.
How many permutations are there of 12 objects taken five at a time? How is this answer related to answers in 1 and 2?
Treat the statistics from part (a) as if they are population parameters and assume a normal distribution to find the values of the quartiles, Q1, Q2 and Q3.
A package contains 9 candy canes, 6 of which are cracked. If 2 are selected, find the probability of getting no cracked candy canes.
The Probability of a Random Number. A number n is chosen at random from the set {1, 2, ..., 20}. We are interested in k, the integer power of 2 which exactly divides n. Recall that we say that 2k exactly divides n if 2^k|n but 2^(k+1) |/ n. We wri..
the probability that she is either rich or beautiful is 0.5, what is the probability that she is both rich AND beautiful?
What is the approximate probability that the blood test will be positive and so at least one person has the disease? Suppose that the blood test yields a positive result.
In planning for a major redesign, Beth collected data at her store on several consecutive Saturday mornings. She noticed that customers arrived at the checkout at a rate of approximately 100 per hour. Fully 20 percent of the customers had 10 items..
What is the number of possible orderings of a Pinochle deck? What is the probability that a hand contains both Queens of Spades and both Jacks of Diamonds?
The formula d = sqrt15h, where h equals the height, in feet, of the viewer's eyes, estimates the distance d, in miles, to the horizon from the viewer. Find the distance to the horizon for a person who eyes are 6 ft above the ground.
Write a method to calculate the area of a circle. Return the area and write a method to calculate the circumference of a circle.
A landscaper blends his own fertilizer which consists of four compounds at the listed price per lb: Formulate an LP problem to determine what blend of these compounds will minimize the cost of a 50lb bag of fertilizer given the following:
A piece of wire is 38 inches long. The wire is cut into two pieces and each is bent to form a square. Find the length of each piece if three times the area of the larger square exceeds the area of the smaller square by 95.75 square inches.
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