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1. Calculate the number of integers divisible by 4 between 50 and 500, inclusive.
2. Hexadecimal digits are formed using either a numeric decimal digit or a letter from A to F. How many possible digits can be chosen? Did you use the sum rule or the product rule?
3. A combination lock requires three numbers from 1 to 25. How many combinations are possible? Did you use the sum rule or the product rule? (Note that although we use the term combination with locks, order matters.)
4. Use the permutation formula to calculate the number permutations of the set {a, b, c, d} taken two at a time. Also list these permutations.
Using the pigeonhole principle, show that any 11 digit decimal number must contain two instances of some decimal digit.
a rancher wishes to enclose a rectangular corral with 320 feet of fencing. the fencing only required 3 sides because of an existing wall. what are the dimensions of the corral of maximum area?
In the following, we are in the process of determining whether integer n = 1373 is a prime or not, using the Rabin-test. Assume that a random number generator returns a = 5. Use modular exponentiation to evaluate the relevant expressions, and disc..
the radius of the earth is 6.38x10^3km. what is the radius of the earth measured in cm?
Based on your research, do you think it is reasonable to expect this house to be worth $220,000. Justify your answer based on appreciation rates in your area.
Assuming there is no cost, what is the expression for the cost of the finished stone and identify the different terms in it.
A classic problem from Calculus I is to take a wire of length L and cut it into pieces. How much area is enclosed in the square? How much area is enclosed in the circle? What is the maximum enclosed area?
The speed of a passenger train is 10mph faster than the speed of a freight train. The passenger train travel 310 miles in the same time it takes the freight train to travel 260 miles. Find the speed of each train.
Calculate the area of the region. Use the shell method to calculate the volume of the solid formed by rotating the region about the x-axis
A mini license plate for a toy car must consist number followed by two letters. Each letter must must be a C, A or R. Each number must be a 3 or 7 Repetition of letters is permitted. License plate sample space and probability
the length of a rectangle is two yards longer than triple the width the perimeter is 484 yards. what are the dimensions?
An art gallery receives a commission of 7% for each piece of artwork sold. If the art gallery received a commission of $77 for selling a sculpture, which equation could be used to find p, the amount the sculpture sold for?
Wiiand Corporation has 50,000 shares of $10 par value common stock outstanding. It declares a 10% stock dividend on december 1 when the market value per share is $16.
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