Find All Solutions to the Following Equation $$x ^ { 3 } - 216 = 0$$

question 102

Multiple Choice

Find all solutions to the following equation.
$$x ^ { 3 } - 216 = 0$$

• A) \(x = 6 , \quad 3 + 3 \sqrt { 3 } i , \quad 3 - 3 \sqrt { 3 } i\)
• B) \(x = 6 , - 6\)
• C) \(x = - 6 , \quad 3 - 3 \sqrt { 3 } i , 3 + 3 \sqrt { 3 } i\)
• D) \(x = 6\)
• E) \(\quad x = 6 , \quad - 3 + 3 \sqrt { 3 } i , \quad - 3 - 3 \sqrt { 3 } i\)

Apply the chi-squared test for goodness-of-fit and for contingency tables, understanding the interpretation of the test statistic and p-value.

Comprehend the rule of 5 for expected cell frequencies in contingency tables.

Understand the concept of degrees of freedom and its calculation for chi-squared tests.

Differentiate between dependent and independent events in probability.

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Definitions:

Price Floors

Legislation that sets the minimum price that can be charged for goods and services.

Market Equilibrium

A situation in a market where the quantity supplied equals the quantity demanded, often corresponding to an equilibrium price.

Price Ceiling

A maximum limit set by the government on the price of a good or service, intended to protect consumers.

Market Price

The price at which an asset or service is currently being traded in a given market.