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four men each tell the truth independently with probability1/3. D makes a statement which C reports to B, and B then reports C's statement to A. If A asserts that B denies that D is a liar, what is the probability that D spoke the truth?
The bearings of two points on the shore from a boat are 115 degrees and 123 degrees. Assume the two points are 855 feet apart. How far is the boat from the nearest point on shore if the shore is straight and runs north-south?
out of 500 randomly chosen grocery shoppers, 320 like cheerios and 380 like total. 275 of the grocery shoppers liked both cheerios and total.
Given the quadratic equation y = 5x2-3x+7 .What is the ordered pair that defines the y-intercept?
A woman on the top of a 448 foot high building spots a small plane. As she views the plane, its angle of elevation is 62 degrees.
Assume that a watermelon dropped from a tall building falls y=16t^2 in t sec. Find the watermelon's average speed during the first 3 sec of fall and the speed at the instant t=3sec.
How would I calculate the 1 yr forward rates over the next 3 years for spot rates of Yr 1 .050
Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? Show your answer using both words and mathematical notation.
Pack-Em-In has another development in the works. If it builds 50 houses in this development, it will be able to sell them at $250,000 each, but if it builds 110 houses, it will get only $190,000 each. Obtain a linear demand equation.
A business journal investigation of the performance and timing of corporate acquisitions discovered that in a random sample of 2,963 firms, 610 announced one or more acquisitions during the year 2000.
For one particular grade of gravel, the ratio of the height of the cone to its radius is 3:2. The conveyor delivers 20 cubic feet per minute to the pile. How fast is the height of the pile increasing when its radius is 10 feet?
Find the distance of the ship from the lighthouse.
What is the probability that among the 12 months of the year there are 3 non necessarily consecutive months containing exactly 4 birthdays?
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