unknown

Examples of unknown in the following topics:

• Equations and Inequalities

  • Equations often express relationships between given quantities—the knowns—and quantities yet to be determined—the unknowns.
  • The process of expressing the unknowns in terms of the knowns is called solving the equation.
  • In an equation with a single unknown, a value of that unknown for which the equation is true is called a solution or root of the equation.
  • In a set of simultaneous equations, or system of equations, multiple equations are given with multiple unknowns.
  • A solution to the system is an assignment of values to all the unknowns so that all of the equations are true.

• Introduction to Variables

  • Variables are used in mathematics to denote arbitrary or unknown numbers.
  • The last one, $x$, represents the solution of the equation, which is unknown and must be solved for.
  • A number on its own (without an unknown variable) is called a constant; in this case, $d$ represents a constant.
  • Therefore, a term may simply be a constant or a variable, or it may include both a coefficient and an unknown variable.
  • In this case, $b$ is an unknown variable, not a parameter of the equation.

• Estimating the Target Parameter: Interval Estimation

  • Interval estimation is the use of sample data to calculate an interval of possible (or probable) values of an unknown population parameter.
  • Interval estimation is the use of sample data to calculate an interval of possible (or probable) values of an unknown population parameter.
  • How can we construct a confidence interval for an unknown population mean $\mu$ when we don't know the population standard deviation $\sigma$?
  • These are both unknown parameters.
  • First, draw a simple random sample from a population with an unknown mean.

• Solving Equations: Addition and Multiplication Properties of Equality

  • Equations often express relationships between given quantities ("knowns") and quantities yet to be determined ("unknowns").
  • The process of expressing an equation's unknowns in terms of its knowns is called solving the equation.
  • In an equation with a single unknown, a value of that unknown for which the equation is true is called a solution or root of the equation.
  • Let $x$ equal the unknown value: the number of hours of labor.
  • To solve for the unknown, first undo the addition operation (using the subtraction property) by subtracting $339 from both sides of the equation:

• Acid-Base Titrations

  • Acid-base titration can determine the concentrations of unknown acid or base solutions.
  • This lets us quantitatively analyze the concentration of the unknown solution.
  • Rinse the burette with the standard solution, the pipette with the unknown solution, and the conical flask with distilled water.
  • At this stage, we want a rough estimate of the amount of known solution necessary to neutralize the unknown solution.
  • The solution in the flask contains an unknown number of equivalents of base (or acid).

• Problem Solving

  • Typically, you are given enough parameters to calculate the unknown.
  • Choose a relevant gas law equation that will allow you to calculate the unknown variable.
  • Calculate the unknown variable.
  • Write down all the information that you know about the gas: P1 = 170 kPa and P2 is unknown.
  • Calculate the unknown variable:

• The Law of Sines

  • The law of sines can be used to find unknown angles and sides in any triangle.
  • To find an unknown side, we need to know the corresponding angle and a known ratio.
  • The last unknown side is $b$, and we will follow a similar process for this.
  • The angle $\beta$ and the side-lengths $b$ and $c$ are unknown.

• The Central Limit Theorem for Sums

  • Suppose X is a random variable with a distribution that may be known or unknown (it can be any distribution) and suppose:

• Student Learning Outcomes

  • Conduct and interpret hypothesis tests for a single population mean, population standard deviation unknown.

• Student Learning Outcomes

  • Conduct and interpret hypothesis tests for two population means, population standard deviations unknown.