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The entries in the 3 x 3 array are all the digits from 1 to 9, arranged so that the entries in every row and every column are in increasing order. Given that the middle cell contains the number 5, how many such arrays are there?
Let G be a group (finite or infinite) and let a and b in G. Let o(a) represent the order of a. Suppose G is abelian and both a and b are of finite order. Show that ab is of finite order and o(ab) divides o(a)o(b).
1. The sum of two numbers is 120. If three times the smaller is subtracted from the larger number, the results is 12. Find the two number
Calculate the z transformation.
If 80% of a radioactive element remains after 250 million years, then what percent remains radioactive after 600 million years? What is it's half life?
What mass of H2O is produced when 0.400 moles of KOH react completely in the following equation?
Suppose that each of the players has a defined strength (all different), and the strongest player wins each match. then is it clear that the first prize goes to the strongest of all the players. what is the probability that the second prize goes t..
a cyclist travels 90 mi in 6 hours going against the wind. She travels 114 mi with the wind in the same amount of time. What is the rate of the cyclist in still air and what is the rate of the wind?
If a ball is thrown directly upward with a velocity of 48 ft/s, its height (in feet) after t seconds is given by y = 48t - 16t2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.)
A rancher has 30,000 linear feet of fencing and wants to enclose a rectangular field and then divide into four equal pastures with three internal fences parallel to one of the rectangular sides. What is the maximum area of each pasture?
Find the break-even point for the firm
A heavy rope, 30 ft long, weighs 0.6 lb/ft and hangs over the edge of a building 70 ft high. How much work W is done in pulling half the rope to the top of the building?
Assume that adults have normally distributed IQ scores with a mean of 100 and a standard deviation of 15 find the probability that a randomly selected adult has an IQ score between 67 and 133.
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