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Bob deposits quarters and dollar bills into a vending machine to buy snacks. Find a recurrence relation for the number of ways he can deposit 25*n cents into the machine if the order matters. State the recurrence relation and the initial conditions. Then use your recurrence relation to find the number of ways Bob can deposit $3.25.
Important information about Probability and combinations. Assume you have five cards are chosen from a standard deck of 52 playings cards. How many hands contain four aces?
Probability problems based on Poisson & Normal distribution
Finding the possible length using the law of cosine.
What was the smallest possible number of people? What are all possible numbers of people?
ABCD is a cross-section of a uniform rectangular block of mass 20kg. AB is 0.75m and BC is 1m. The block rests with A on rough horizontal ground with AB at 20 degrees to the horizontal.
What is the probability that two randomly selected 40-year-old females will live to be 41 years old? What is the probability that five randomly selected 40-year old females will live to be 41 years old?
The Marginal profit function.
The graph of a quadratic function (a parabola) has x-intercepts -1 and 3 and a range consisting of numbers less than or equal to 4. Determine an expression for the function.
At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately 3x the altitude.
Formulate a linear programming model for the problem.
Find the probabilities that the sample, drawn without replacement, contains the following, All blue balls, Exactly 2 black balls
When are the Poisson and negative exponential distributions used and What are the advantages and limitations of simulation models?
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