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  • John Rhodes
  • June 21, 2023
  • Probability

Probability: Calculating The Likelihood Of Events With Simple Formulas

probability of an event P(A) = #of outcomes in event A / total # of outcomes. The probability of an event P(A) is a measure of the...
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  • John Rhodes
  • June 21, 2023
  • Probability

Complements In Linguistics: Object And Subject Complements Explained

complement of event A is the event where A does not occur. (A^c), also can be denoted as A’. In linguistics, a complement is a word, phrase...
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  • John Rhodes
  • June 21, 2023
  • Probability

The Complement Rule In Probability Theory: Calculation And Examples

complement rule P(A^c) = 1 – P(A) The complement rule is a fundamental concept in probability theory. It provides a way to calculate the probability of an...
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  • John Rhodes
  • June 21, 2023
  • Linear Algebra

Mastering Equations With Three Variables: No Solution, Unique Solution, And Infinitely Many Solutions

What are the solution sets for equations with 3 variables? Set of Intersections of the Planes:1.) Line 2.) Point 3.) Nothing The solution set for equations with...
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  • John Rhodes
  • June 21, 2023
  • Linear Algebra

The Concepts Of Consistent And Inconsistent Systems Of Equations In Math

What makes a system consistent? Inconsistent? Consistent if there is at least 1 solution (there can be infinite) Inconsistent if there is no solution A system is...
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  • John Rhodes
  • June 21, 2023
  • Linear Algebra

Matrix Structure: The Importance Of Rows And Columns For Mathematical Operations

The size of a matrix is given as m*n, where m is the number of __________ and n is the number of ___________ Rows; columns The size...
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  • John Rhodes
  • June 21, 2023
  • Linear Algebra

Row Equivalence Of Systems Of Equations In Mathematics

What makes 2 equations row equivalent? If there is a series of elementary row operations that transforms one matrix into the other Two equations are called row...
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  • John Rhodes
  • June 21, 2023
  • Linear Algebra

Row Equivalence In Linear Systems Of Equations And Its Impact On Solution Sets

If the augmented matrices of two linear systems are row equivalent… The 2 systems have the same solution set If the augmented matrices of two linear systems...
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