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Apply the Rules of Counting
You are to construct a password of length 7 consisting of 5 characters and 2 digits, arranged in any order. An upper case character is not distinguished from a lower case character. That is, both upper case and lower case are considered to be the same character.
How many possible passwords can be created under these constraints? What rules of counting are used to enumerate the possible number of passwords?
What is the area of the region bounded by y=sin(x), y=cos(x), and the x-axis between x=0 and x=pi/2
What is seen in the histogram created for the heights of students in this class (include the shape)? Explain your answer.
1. Find the closures of the following sets: a). {1/n: n is a natural number} b).Q, the set of rational numbers c). {rEQ: r^2
Chic Sales is a high-end consignment store with several locations in the metro area. The company noticed a decrease in sales over the last fiscal year. Research indicated customer satisfaction had decreased and the owner, Pat Turner, decided to c..
1. What are at least three reasons why managers should take the time to create effective plans? 2. How should managers measure whether their plans are successful? 3. Who should be involved in creating and executing management plans?
Goal: The goal for this assignment is to select the topic for your research paper that is related to long-term financing methods. Format Requirements: The work is to be clear and concise, and students will lose points for improper grammar, punctu..
Probability and Data Collection, 1. Suppose you have 4 nickels, 6 dimes, and 4 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
A motorboat travels 290 km in 5 hours going upstream. It travels 430 going downstream in the same amount of time.
Water is 80°C in copper pipe 10 cm long and 2.6 cm in diameter is surrounded by air at temperature of 10°C. How much heat is lost by convection in one hour
A rubber stopper attached to a string is swung over the head of a physics student at a rate of 2 rotations per second. If the string has a length of 0.25 m what is the tangential speed of the stopper?
A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?
Express the cost of fencing as a function of the length x of a side perpendicular to the wall.
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