Binomial theorem - Study guides, Class notes & Summaries
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Test Bank for Basic Technical Mathematics with Calculus, 12th Edition Washington (All Chapters included)
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Complete Test Bank for Basic Technical Mathematics with Calculus, 12th Edition by Allyn J. Washington, Richard Evans ; ISBN13: 9780137582792....(Full Chapters included Chapter 1 to 31)...Chapter 1 Basic Algebraic Operations 
Chapter 2 Geometry 
Chapter 3 Functions and Graphs 
Chapter 4 The Trigonometric Functions 
Chapter 5 Systems of Linear Equations; Determinants 
Chapter 6 Factoring and Fractions 
Chapter 7 Quadratic Equations 
Chapter 8 Trigonometric Functions of Any Angle 
Chapter 9 Vectors...
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MATH 3326 Quiz for Final Exam Review, History of Mathematics: Covers chapters 1-6
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MATH 3326 Quiz for Final Exam Review, History of Mathematics: Covers chapters 1-6 
 
Nicole Oresme (1320-1382) 
Elementary proof of divergence of harmonic series. 
Nicolo Tartaglia (1499-1557) 
Formula for solving cubic equations. 
Gerolamo Cardano (1501-1576) 
Publishing formulas for solving cubic and quartic equations which were done by other mathematicians. 
Francois Viète (1540-1603) 
Formula connecting the roots and coefficients of polynomials 
John Napier (1550-1617) 
Invention of logarit...
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WGU C207 Data-Driven Decision Making (Latest 2023/ 2024 Update) Vocabularies with Verified Definitions- 100% Correct
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WGU C207 Data-Driven Decision Making (Latest 2023/ 2024 Update) Vocabularies with Verified Definitions- 100% Correct 
 
V: Independent Events 
 
 
Answer: 
Events that are not effected by other trials or events, 
 
 
 
V: Complimentary events 
 
 
Answer: 
Events with two outcomes that are the only possible outcome. Like flipping a coin. 
 
 
 
V: Conditional Probability 
 
 
Answer: 
The probability of an event occurring, given that another event has already occurred. 
P(B|A) = P(A and B)/P(A) ...
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CFA Level 1 - 101 Must Knows question and answers 2023 verified to pass
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CFA Level 1 - 101 Must Knows question and answers 2023 verified to pass 
Addition Rule of Probability - correct answer ADDITION: P(A or B) = P(A) + P(B) - P(AB) 
 
Roy's Safety First Criterion - correct answer Safety First Ratio = (E(R) - Rₜ) / σ 
 
Larger ratio is better 
 
If (Rₜ) is risk free rate, then it becomes Sharpe Ratio 
 
Sharpe Ratio - correct answer Sharpe Ratio = (E(R) - RFR) / σ 
 
Larger ratio is better 
 
If (Rt) is higher than RFR, then it becomes Safety First Ratio 
 
C...
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MATH 3326 Quiz for Final Exam Review, History of Mathematics: Covers chapters 1-6
- Exam (elaborations) • 20 pages • 2023
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MATH 3326 Quiz for Final Exam Review, History of Mathematics: Covers chapters 1-6 
 
Nicole Oresme () 
Elementary proof of divergence of harmonic series. 
Nicolo Tartaglia () 
Formula for solving cubic equations. 
Gerolamo Cardano () 
Publishing formulas for solving cubic and quartic equations which were done by other mathematicians. 
Francois Viète () 
Formula connecting the roots and coefficients of polynomials 
John Napier () 
Invention of logarithms 
Bonaventura Cavalieri () 
A principle to...
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Solutions for Algebra and Trigonometry, 5th Edition by James Stewart
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Complete Solutions Manual for Algebra and Trigonometry 5e 5th Edition by James Stewart, Lothar Redlin, Saleem Watso. Full Chapters Solutions are included - Chapter 1 to 13 
 
P. PREREQUISITES. 
Chapter Overview. P1. Modeling the Real-World with Algebra. P2. The Real Numbers. P3. Integer Exponents and Scientific Notation. P4. Rational Exponents and Radicals. P5. Algebraic Expressions. P6. Factoring. P7. Rational Expressions. P8. Solving Basic Equations. P9. Modeling with Equations. Chapter P Revi...
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Solutions Manual for College Algebra, 8th Edition by James Stewart
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Complete Solutions Manual for College Algebra, 8th Edition 8e by James Stewart, Lothar Redlin, Saleem Watson. Full Chapters Solutions are included - Chapter 1 to 9 
 
P. PREREQUISITES. 
Chapter Overview P.1 Modeling the Real-World with Algebra. P.2 The Real Numbers. P.3 Integer Exponents and Scientific Notation. P.4 Rational Exponents and Radicals. P.5 Algebraic Expressions. P.6 Factoring. P.7 Rational Expressions. P.8 Solving Basic Equations. P.9 Modeling with Equations. Chapter P Review. Cha...
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CFA Level 1 - 101 Must Knows- 368 questions- with complete solutions
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Addition Rule of Probability correct answer: ADDITION: P(A or B) = P(A) + P(B) - P(AB) 
 
Roy's Safety First Criterion correct answer: Safety First Ratio = (E(R) - Rₜ) / σ 
 
Larger ratio is better 
 
If (Rₜ) is risk free rate, then it becomes Sharpe Ratio 
 
Sharpe Ratio correct answer: Sharpe Ratio = (E(R) - RFR) / σ 
 
Larger ratio is better 
 
If (Rt) is higher than RFR, then it becomes Safety First Ratio 
 
Central Limit Theorem correct answer: If we take samples of a population,...
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Binomial expansion, Algebraic Functions- A* A level Mathematics Edexcel Notes
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Pure Mathematics 
 
This document includes summaries of key mathematical concepts and thought-out examples with corrections made where necessary 
 
A* achieved using these notes in 2022 exams 
 
Relevant to the Edexcel exam board 
•	Mathematical Proof 
•	Algebraic functions 
•	Dividing polynomials 
•	Equating coefficients 
•	Factor theorem 
•	Pascal’s triangle 
•	Factorial notation 
•	Binomial expansion 
•	Binomial estimations
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Discrete Mathematics (Classic Version) 5th Edition John A. Dossey SOLUTION
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1 An Introduction to Combinatorial Problems and Techniques 1 
1.1 The Time to Complete a Project . . . . . . . . . . . . . . . . . . . . . . . . . 1 
1.2 AMatching Problem. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 
1.3 A Knapsack Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 
1.4 Algorithms and Their Efficiency . . . . . . . . . . . . . . . . . . . . . . . . . 4 
Supplementary Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 
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