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Math 10B Quiz 3-
1. (a) Fill in the blanks: The Stirling number S(n, k) counts the number of ways to ________________ (arbitrarily/surjectively/injectively) put n _______________________ (distinguishable/indistinguishable) balls into k ____________________ (distinguishable/indistinguishable) boxes.
(b) Compute S(7, 5). (It's a three digit number.)
2. In a class, there are 30 students taking a quiz. Each quiz score will be an integer between -10 and 10 inclusive. How many different quiz score distributions are possible for the class? Here, a quiz score distribution records only the number of -10 scores, the number of -9 scores, . . . , the number of 10 scores.
3. A weather forecaster says:
Assuming mathematical consistency of the weather forecaster's statements, what is the probability there is no rain in Berkeley today nor tomorrow?
if a plane can travel 480 miles per hour with the wind and 420 miles per hour against the wind , find the speed of the plane still in the air.
The Dolphins football team gained 16 yards on their first play then lost 11 yards on the next play. Write an addition expression to represent this situation. Find the sum an explain its meaning.
Construct a decision tree to represent the company's decision problem. Assuming that the company's objective is to maximize its expected returns, determine the policy that it should adopt
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.
Jude's kayak is 10 feet and 2 inches long. Alexa's kayak is 29 inches longer. How long is Alexa's kayak
in 1990, 1 dollar equalled 125 yen. In 2010, 1 dollar equalled 80 yen. At this rate, how many yen will the dollar equal in 2015?
How fast is the height of the pile increasing when the pile is 19 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by.
Use your calculator to evaluate the following expression if x = 9.69, and y = –8.02. Round your answer to the nearest tenth.
He has invented a counter for his bike which counts the number of revolutions the wheels make
A uniform boom AC, 4m long and weighing 50 N is smoothly hinged at C and is supported at A by a rope AB. Find the tension in the rope and the size and direction of the reaction at C.
A manufacturer sells video games with the following cost and revenue functions (in dollars) where x is the number of games sold. Determine the intervals on which the profit function is increasing.
What are the Present and Future values?
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