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Question: 1. (An example from Abraham de Moivre's book Doctrines of Chance, published in 1717.) IT 12 throws of a die are made, what is the probability that all six numbers appear?
2. Use the inclusion-exclusion principle to find the number of partitions of {l , .. . ,1O} into four parts, none of which is a singleton set.
a 42 inch- long guitar is 10.5-feet-long on a stadium screen. a drum is 21 inches wide. how wide is the image on the stadium screen?
First find the ratio AZ/ZB. Next find the sum AZ + ZB. Using these two equations in two unknown lengths, calculate the lengths AZ and ZB. Is the angle bisector a median?
Is this equation correct: (x y)3 = x y3 ? Explain why. If it is correct, how can you prove this? If it is incorrect, what should be done to make it right?
A total of 436 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?
In the class, there are 12 freshmen, of whom 8 are males and 15 sophomores, of whom 5 are females. If one student is selected at random, what is the probability of selecting a freshman or a female?
The radius of curvature of a road at a certain turn is 50m . The width of the road is 1 Om and its outer edge is 1.5m higher than the inner edge. Find the safe speed for such an inclination.
What are parameter and statistic in this problem?
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.
nick has a revolving department store credit card account with an annual percentage rate of 15 percent last months
Determine the area of the largest rectangle that can be inscribed in a semicircle of radius 8". Figure shows that the area can be written as A =(2x)y, if (x,y) is the point of the upper right corner of the rectangle.
a submarine cruising at 25 meters below sea level. express the depth of the depth of the submarine as an integer.
A Chemist needs 100 milliliters of a 76% solution but has only 55% and 85% solutions available. Find how many milliliters of each that should me mixed to get the desired soultion?
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