Chebyshev’s Theorem and The Empirical Rule Suppose we ask 1000 people what their age is. If this is a representative sample then there will be very few people of 1-2 years old just as there will not be many 95 year olds. Most will have an age somewhere in their 30’s or 40’s. A list of the number of people of a certain age may look like this: |Age |Number of people | |0 |1 | |1 |2 | |2 |3
Premium Standard deviation Normal distribution Arithmetic mean
Introduction This experiment focuses on two concepts. These concepts are Proportionality and Superposition theorems. Proportionality is a way to relate two quantities together. This means that when more input is supplied‚ you get more output which is proportional to the input. The Proportionality Theorem states that the response in a circuit is proportional to the source acting in the circuit. This is also known as Linearity. The proportionality constant (K) relates the input voltage to the
Premium Ohm's law Electrical impedance Linear
properties of actual procedures for aggregating preferences via voting rules. The problem is finding a social choice function that satisfies normative criteria and establishing equilibrium under voting rules. (Mueller‚ 3‚ 1989) Arrow’s Impossibility Theorem set out to prove that democratic social choice processes were inherently flawed and had no way to be fixed. In order for a person to vote there must be a social welfare function that satisfies unrestricted domain‚ positive association‚ independence
Premium
EXPERIMENT NO. 10 Thevenin’s Theorem Objectives: 1. To verify the Thevenin’s theorem through an experiment. 2. To find the Thevenin’s resistance RTH by various methods and compare values. Equipment: Resistors‚ DMM‚ breadboard‚ DC power supply‚ and connecting wires. Theory: Thevenin theorem states that any linear two-terminal circuit can be replaced by an equivalent circuit consisting of a voltage source VTH in series with a resistance RTH where * VTH is the open-circuit voltage at
Premium Electrical resistance Ohm's law Resistor
One of her theorems was the Chaos Theorem. She was one of the first people to work on this complex theorem. She worked with John Littlewood for many years to come. Cartwright worked with John Littlewood on the internal functions of zero. Mary Cartwright and John Littlewood also worked to find the solutions of the nonlinear radio amplifier in the 1940s. Nonlinear radio amplifiers were used by army men. This theorem contributed to the development of radios in World
Premium Mathematics Computer Isaac Newton
Bayes’ theorem describes the relationships that exist within an array of simple and conditional probabilities. For example: Suppose there is a certain disease randomly found in one-half of one percent (.005) of the general population. A certain clinical blood test is 99 percent (.99) effective in detecting the presence of this disease; that is‚ it will yield an accurate positive result in 99 percent of the cases where the disease is actually present. But it also yields false-positive results in 5
Premium Conditional probability Type I and type II errors Statistics
Laboratory Report Bernoulli’s Theorem Lubna Khan‚ BEng Architectural Engineering Student ID No.: H00113999 Addressed to: Dr. Mehdi Nazirinia Date: 22/12/2012 Lab Experiment held on: 28/11/2012 Table of Contents Summary/Abstract Page 3 1.1. Introduction Page 4 1.2. Objective Page 5 2. Theory Page 5 2.1. Theoretical Background Page 5 2.1.1. Sample Calculations: Page 8
Premium Fluid dynamics
1.8.4 Journal: Consecutive Angle Theorem Journal Geometry Sem 1 (S2444116) AUSTIN HERNANDEZ Points possible: 20 Date: ____________ Making the Slopes Safer for Skiers Instructions: View the video found on page 1 of this journal activity. Using the information provided in the video‚ answer the questions below. Show your work for all calculations 1. The Students’ Conjectures: (3 points: 1 point each) a. What conjecture is being made? Managing the flow of downhill skiers
Premium Skiing Alpine skiing Piste
Seven years in isolation? I grew rather inquisitive as I read the book “The Fermat’s Last Theorem” by Simon Singh. ‘Sagely’‚ I thought‚ as I kept learning more about Professor Andrew Wiles through the course of the book. To spend time solving a believably unsolvable riddle in Mathematics is penance. He must have tormented himself to add a diamond to the mine or mountain of knowledge; but possibly the ecstasy at the end put all that at naught. That and the thought ignited in me‚ that burgeoning zeal
Premium Semiconductor Integrated circuit Silicon
5. Remainder Theroem 1. June 1986 Paper 2 #1 (16 marks) a) Find the remainder when x³ + 3x – 2 is divided by x + 2 [2] b) Find the value of a for which (1 – 2a) x² + 5ax + (a – 1)(a – 8) is divisible by x – 2 but not by x – 1. [7] c) Given that 16x4 – 4x³ – 4b²x² + 7bx + 18 is divisible by 2x + b‚ i) show that b³ – 7b² + 36 = 0 [3] ii) find the possible values of b [4] 2. June 1987 Paper 2 #1 (16 marks) a) Given that f(x) = x³ – 7x + 6 i) calculate the remainder when f(x) is divided by
Premium Division Remainder Integer