Sigma notation Study guides, Class notes & Summaries
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Review Lecture Quiz 1 with Correct Answers University of Illinois, Chicago IDS 371
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Review Lecture Quiz 1 
 Question 1 
10 out of 10 points 
What does the notation x ~ N(80,5) mean? Select the best answer. 
Selected 
Answer: 
D. 
x has a bell shaped distribution with an average of 80 and a standard 
deviation of 5. 
Answers: A. 
x has an average of 5 and a standard deviation of 80. 
B. 
x has a bell shaped distribution with an average of 5 and a standard 
deviation of 80. 
C. 
x has a uniform distribution with an average of 80 and a standard 
deviation of 5. 
D. 
x has a bel...
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Edexcel A-Level Pure Maths ALL SOLUTION LATEST EDITION 2023 GUARANTEED GRADE A+
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area of sector (where θ is in radians) 
 
½r²θ 
 
angles in 3D vectors 
 
cosθₓ =x/|a| 
 
cosθᵧ =y/|a| 
 
cosθ₂ =z/|a| 
 
this is where vector a makes an angle θ with the x/y/z axis (because x/y/z would be the adjacent and a the hypotenuse) 
 
Expanding (a + bx)ⁿ 
 
(a + bx)ⁿ = aⁿ(1 + (b/a)x)ⁿ 
 
cosine rule 
 
a² = b² +c² -2bc cosA 
 
rule for parametric integration 
 
∫y dx = ∫(y dx/dt)dt 
 
as (dx/dt) x dt would cancel out to give you ∫y dx 
 
un...
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Chem 162 (100% Errorless Answers)
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Axial lone pairs correct answers Lies on axis of molecule where is srongly repels the electron pairs in the three equatorial bones 
 
Equatorial lone pair correct answers Lies on molecule's equator, where is strongly repels electron pairs in the two axial bonds 
 
sigma bond correct answers all single covalent bonds. A bond formed when two atomic orbitals combine to form a molecular orbital that is cylindrically symmetrical around the axis connecting the two atomic nuclei 
Head on overlap of hy...
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Chem 162 (100% Errorless Answers)
- Exam (elaborations) • 8 pages • 2023
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Axial lone pairs correct answers Lies on axis of molecule where is srongly repels the electron pairs in the three equatorial bones 
 
Equatorial lone pair correct answers Lies on molecule's equator, where is strongly repels electron pairs in the two axial bonds 
 
sigma bond correct answers all single covalent bonds. A bond formed when two atomic orbitals combine to form a molecular orbital that is cylindrically symmetrical around the axis connecting the two atomic nuclei 
Head on overlap of hy...
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MATH 209 TEST 2 WITH 100% CORRECT ANSWERS ALREADY GRADED A+ 2024 LATEST UPDATE.
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3.4 Discrete Random Variables 
... 
 
 
 
expected value formula 
mu = ∑ [P(x) • x] 
 
 
 
Brainpower 
0:05 
/ 
0:15 
variance formula 
standard deviation formula 
var = ∑[P(x)• (x - mu)²] 
sd = sqrt(var) 
 
 
 
linear combinations: 
-expected value formula 
-variance formula (for both independent and dependent) 
E(ax + by) = aE(x) + bE(y) 
dependent: Var(ax + by) = a²Var(x) + b²Var(y) + 2ab*cov(x,y) 
independent: Var(ax + by) = a²Var(x) + b²Var(y) 
**assume x and y are NOT independ...
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Test Bank For Organic Chemistry 10th Edition by Francis Carey
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What is the ground state electron configuration of carbon? 
A. 1s22s22px1 
B. 1s22s22px2 
C. 1s22s22px12py1 D. 1s22s22px22py1 
2. Which of the following has (have) the same electron configuration as Ne? Na- Mg2+ O2- Mg+ 
A. Na-andO2- B. Mg2+ and O2- C. Mg+ and O2- D. only Mg2+ 
Accessibility: Keyboard Navigation Bloom's Level: 3. Apply 
Chapter: 01 Difficulty: Medium 
Gradable: automatic Section: 01.01 
Subtopic: Periodic table trends Topic: Structure and Bonding 
Accessibility: Keyboard Naviga...
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WGU C215 Operations Management -Objective Assessment Prep Guide & Terminologies Combo Study Guide 2023 Verified 100%
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1. customer focus 
2. continuous improvement 
3. employee empowerment 
4. use of quality tools 
5. product design 
6. process management 
7. managing supplier quality - ANSWER-Total Quality Management (TQM) Philosophy 
 
Basic function of Six Sigma. Measures the process potential and performance of processes. The higher the range of Cpk, the improved is the ability of the process to complete its necessities. Uses both the process variability and the process specifications to determine whether th...
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OCR a-level maths Complete Assignment With 100% Correct $ Verified Answers.
- Exam (elaborations) • 29 pages • 2024
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- Sn = n/2 (2a + (n-1)d) 
- Sn = n/2 (a + l) where a is the first term and l is the last term - correct answer formula of an arithmetic series 
 
the sum of the terms of an arithmetic sequence - correct answer what is an arithmetic series 
 
- Un = a + (n-1)d 
- a = the first term 
- d = the common difference - correct answer nth term of an arithmetic sequence 
 
- Un = ar^(n-1) 
- a = ...
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Series and sequences ieb
- Summary • 43 pages • 2023
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Summary notes on all topics of series and sequences (IEB/CAPS): arithmetic sequences, sum and series. geometric sequence , sum and series. sum to infinity, sigma notation, converging and diverging patterns and 40+ exam questions
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OCR a-level maths Question Fully Solved.
- Exam (elaborations) • 28 pages • 2024
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- Sn = n/2 (2a + (n-1)d) 
- Sn = n/2 (a + l) where a is the first term and l is the last term - correct answer formula of an arithmetic series 
 
the sum of the terms of an arithmetic sequence - correct answer what is an arithmetic series 
 
- Un = a + (n-1)d 
- a = the first term 
- d = the common difference - correct answer nth term of an arithmetic sequence 
 
- Un = ar^(n-1) 
- a = first term 
- r = common ratio - correct answer nth term of a geometric sequence 
 
- Sn = a(1-r^n) / 1-r 
- Sn...
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