Sigma notation Study guides, Revision notes & Summaries

Statistics Ch 6 Exam - Questions and Answers What's wrong with the following statement? "Because the digits 0, 1, 2, . . . , 9 are the normal results from lottery drawings, such randomly selected numbers have a normal distribution." Since the probability of each digit being selected is equal, lottery digits have a uniform distribution, not a normal distribution. A normal distribution is informally described as a probability distribution that is "bell-shaped" when graphed. Draw a rough sket...

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...

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...

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...

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...

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...

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...

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

- 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 = ...

- 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...