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Question: In the 17th century, there were more than 800,000 inhabitants of Paris. At the time, it was believed that no one had more than 200,000 hairs on their head. Assuming these numbers are correct and that everyone has at least one hair on their head (that is, no one is completely bald), use the pigeonhole principle to show, as the French writer Pierre Nicole did, that there had to be two Parisians with the same number of hairs on their heads. Then use the generalized pigeonhole principle to show that there had to be at least five Parisians at that time with the same number of hairs on their heads.
Q1.) Four months after it stops advertising, a manufacturing company notices that its sales have dropped from 100,000 units per month to 80,000 units per month. If the sales follow an exponential pattern of decline, what will they be after another 2 ..
U.S. Population The population of the United States by race in 2000 and the projected population by race for the year 2025 are given below (in thousands).
Simon works in a government office where encrypted messages are regularly received. He knows that an affine cipher is the standard method of encryption used by the office, and has access to the machine which encrypts.
Write the paper from the perspective that it will be presented to management of the firm and you are trying to persuade them to utilize business analytics for data-driven decision making.
Show that if sum a_n converges absolutely then sum a^2_n also converges absolutely Does this proposition hold without absolute converge
Use the universal set U= {a,b,c,..... y, z} and the characteristic function for the specified subset to compute the following function value: NOTE: Please ignore the "bracket" as it is the closest I could find to notation for a ceiling function...
Draw a graph that illustrates who among these five people are not acquainted. That is, draw an edge between two people if, and only if, they are not acquainted.
a team of clothing workers had an output of 1000 uniforms per week. This output was increased by 20%, which demanded and increase of 50 uniforms per worker. How many workers are there? show your work.
There are some risks involved with international transactions due to fluctuations of the foreign currency exchange rates. One way to mitigate those risks is through hedging. Discuss the hedging options: forward contracts and option contracts. What..
an employee's new salary is $20,370 after getting a 5% raise. What was the salary before the increase in pay? Last years salary was $.
The length of a rectangle is 5 cm longer than twice the length of the width. If the area of the rectangle is 403 square centimeters, what is the width?
200 feet of fence needs to be used to enclose a ranch. the ranch borders a river where no fence is needed. what is the quadratic equation that will provide the maximum amount of space.
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