unknown
(noun)
A variable in an equation that needs to be solved for.
(noun)
A variable in an equation that has to be solved for.
(noun)
A variable (usually
Examples of unknown in the following topics:
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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.
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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.
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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.
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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:
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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).
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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:
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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.
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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:
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Student Learning Outcomes
- Conduct and interpret hypothesis tests for a single population mean, population standard deviation unknown.
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Student Learning Outcomes
- Conduct and interpret hypothesis tests for two population means, population standard deviations unknown.