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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?
an auto make estimates that the mean gas mileage of its luxury sedan is at least 25 miles per gallon. a random sample of eight such cars had a mean of 23 miles per gallon and the standard deviation of 5 miles per gallon.
An alligator with a body length of 7 feet has a tail length of 4.9 feet. What is the tail length of an alligator whose body length is 4 feet?
The sequence given is defined using a recursion formula. Write the first four terms of the sequence
Which axis does the helix wrap around? Find a parameterization for the tangent line to the curve at t=5π/6 , assuming k=1. Which value(s) of k make h(t) an arc-length parametrization?
"If the efficient-market hypothesis is true, the pension fund manager might as well select a portfolio with a pin." Explain why this is not the case.
How many pairs of sunglasses (in thousands) should be sold to maximize profits? What are the actual maximum profits (in thousands) that can be expected? (If necessary, round your answer to three decimal places.)
Search Results for "the price for a share of XYZ stock went from $32 to $37 in one month. what was the percent increase to the nearest tenth of a percent ?"
The volume of a rectangular prism is given by the formula V = lwh. What are the general dimensions of the prism if the volume is 6x3 +9x2 - 6x? You will not have an exact dimension but rather an expression that represents them.
Select a division or area of local, state, or federal government related to aviation and interview individuals working there. From the interview process, determine: the functions carried out by the division/office
What is the definition of multiple in the following context: multiples of 30 are 30, 60, 90, 120,150,180,210, and etc? Another example is: multiple of 75 are 75,150,225,300,375,450, and etc. Please provide a concise definition for multiple.
Using the data from the Koko Company, determine the divisional income from operations for the A and B regions. I need to allocate service department expenses proportional to the sales of each region
What can you say about the numbers a, b, c, and d?
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