Determine relative weights of two quantities and eight coins

Assignment Help Mathematics
Reference no: EM131569095

Question: (a) [BB] Given an equal arm balance capable of determining only the relative weights of two quantities and eight coins, all of equal weight except possibly one which is lighter, explain how to determine if there is a light coin and how to identify it in just two weighings.

(b) Given an equal arm balance as in (a) and 3n - 1 coins, n ≥ 1, all of equal weight except possibly one which is lighter, show how to determine if there is a light coin and how to identify it in at most n weighings.

Reference no: EM131569095

Questions Cloud

Discounted payback method of analyzing a project : 1. Briefly explain the problems associated with using the discounted payback method of analyzing a project.
Drafting academic argumentative research paper : The purpose of this assignment is to begin drafting your academic argumentative research paper.
Spot exchange rate : How many pounds are required to buy a dollar, if the spot exchange rate is $1.48 per British pound?
Year return on investment : If you plan to buy the bond today and sell it in four years, what is the most that you can pay for the bond and still earn at least a 10.0% per year return.
Determine relative weights of two quantities and eight coins : Given an equal arm balance capable of determining only the relative weights of two quantities and eight coins, all of equal weight except possibly.
Summarize the events and christian society events : Research the history of your region during the medieval period. Summarize the events, Christian society, and Muslim society of the region .
Account three years from today : If the interest rate is 5.35%, how much will Bob have accumulated in his account three years from today?
Bordering rectangle by means of straight lines : Suppose a rectangle is subdivided into regions by means of straight lines each extending from one border of the rectangle to another.
What is its intrinsic value per share : If investors require a return of 12.4% per year to hold the stock, what is its intrinsic value per share?

Reviews

Write a Review

Mathematics Questions & Answers

  Determine the limit of the sequence or show that sequence

determine the limit of the sequence or show that the sequence diverges by using the appropriate Limit Laws or theorems.

  Find the actual interest rate

The State Employees' Credit Union offers a 1-year certificate of deposit with an APR (or effective rate) of 5.5%. If interest is compounded quarterly, find the actual interest rate. Round to the nearest tenth of a percent.

  Find the rate at which water is being pumped

find the rate at which water is being pumped into the tank in cubic centimeters per minute.

  How many people in the survey own either a microwave

a survey of 1100 people in a certain city indicates that 850 own microwave ovens, 750 own dvd players and 560 own microwave ovens and dvd players.

  Find an equation of line tangent to the curve at the point

Find an equation of the line tangent to the curve at the point corresponding to the value of the parameter.

  Evaluating how attitude-personality and goal setting

This question involves evaluating how attitude, personality, and goal setting impact work performance. Attitudes can be both good and bad, personalities can vary greatly, and goal setting is a technique that some use and some do not.

  What are the pros and cons of each of these methods

Quadratic equations may be solved by graphing, using quadratic formula,completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Explain why?

  Question regarding derivative applications

Write an equation for the secant line AB where A= (a,f(a)) and B= (b,f(b)) Write an equation for the tangent line that is parallel to the secant line AB. Approximating functions: Let f be a function with f'(x)= sinx^2 and f(0)= -1

  What is equilibrium price and quantity

Given the demand curve in part a above. what is equilibrium price and quantity?

  What is the speed of the boat in still water

A boat traveled 285.6 miles downstream and back. The trip downstream took 10.2 hours. The trip back took 34 hours. What is the speed of the boat in still water? What is the speed of the current?

  Engraved stationary costs

Jared has $ 40 budgeted for office stationary. Engraved stationary costs $20 for the first 50 sheets and $0.08 for each additional sheet. How many engraved sheets can Jared order and still stay within her budget?

  Construct argument patterns - untenured college teachers

Use the method presented in this section to construct argument patterns. If a statement is redundant or plays no role in the argument, do not include it in the pattern.- There is a lot of pressure on untenured college teachers to dumb down their co..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd