Suppose You Have 5 Coins, One of Which Is Counterfeit

question 3

Essay

Suppose you have 5 coins, one of which is counterfeit (either heavier or lighter than the other four). You use a pan balance scale to find the bad coin and determine whether it is heavier or lighter.
(a) Prove that 2 weighings are not enough to guarantee that you find the bad coin and determine whether it is heavier or lighter.
(b) Draw a decision tree for weighing the coins to determine the bad coin (and whether it is heavier or lighter) in the minimum number of weighings.

Identify and understand the uses of different web services and technologies in creating and managing content.

Understand the significance of folksonomies and tagging in organizing web content.

Recognize how companies use digital platforms for marketing and customer engagement.

Understand and calculate debt-to-equity ratios.

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Definitions:

Substitute Goods

Products or services that can be used in place of each other, where an increase in the price of one leads to an increase in demand for the other.

Federal Tax

Taxes imposed by the federal government on income, sales, imports, estates, and gifts, among others, to fund national programs and services.

Demand for Marijuana

The desire for and quantity of marijuana that consumers are willing and able to purchase at various prices.

Market

Any institution or mechanism that brings together buyers (demanders) and sellers (suppliers) of a particular good or service.