Paper Reference(s) 6663/01 Edexcel GCE Core Mathematics C1 Bronze Level B1 Time: 1 hour 30 minutes Materials required for examination Items included with question papers Mathematical Formulae (Green) Nil Candidates may use any calculator allowed by the regulations of the Joint Council for Qualifications. Calculators must not have the facility for symbolic algebra manipulation‚ differentiation and integration‚ or have retrievable
Premium Maxima and minima Dimension
International Kangaroo Mathematics Contest 2012 – Cadet Level Cadet (Class 7 & 8) Time Allowed : 3 hours SECTION ONE - (3 points problems) 1. Four chocolate bars cost 6 EUR more than one chocolate bar. What is the cost of one chocolate bar? (A) 1 EUR (B) 2 EUR (C) 3 EUR (D) 4 EUR (E) 5 EUR 2. 11.11 − 1.111 = (A) 9.009 (B) 9.0909 (C) 9.99 (D) 9.999 (E) 10 3. A watch is placed face up on a table so that its minute hand points north-east. How many minutes pass before the minute hand points
Premium Regular polygon Triangle Number
Electrical circuit is a path which electrons from a voltage or current source flow. Electric current flows in a closed path called an electric circuit. The point where those electrons enter an electrical circuit is called the "source" of electrons. The point where the electrons leave an electrical circuit is called the "return" or "earth ground". The exit point is called the "return" because electrons always end up at the source when they complete the path of an electrical circuit. The part of an
Premium Electricity Electrical engineering Alternating current
STAT 233 Midterm Review Questions 1. A local hotdog vendor that works the entire downtown area has determined the following payoffs for 3 possible strategies. Strategy A is to locate at one central location. Strategy B is to push the cart around to cover the entire downtown area. Strategy C is to locate inside one of the small shopping centres. Strategy Rainy Overcast Sunny A B C $500 -150 920 700 500 400 900 1200 100 What is the decision and value of the decision using: a. b. c. Optimistic
Premium Conditional probability Decision theory Optimization
Notation for the Binomial Distribution P(S) The symbol for the probability of success P(F) The symbol for the probability of failure p The numerical probability of a success q The numerical probability of a failure P(S) = p and P(F) = 1 - p = q n The number of trials X The number of successes The probability of a success in a binomial experiment can be computed with the following formula. Binomial
Premium Probability theory Binomial distribution
A JOURNAL OF LTEX CLASS FILES‚ VOL. 6‚ NO. 1‚ JANUARY 2007 1 Enhancing Performance of Random Testing Through Markov Chain Monte Carlo Methods Bo Zhou‚ Hiroyuki Okamura‚ Member‚ IEEE‚ and Tadashi Dohi‚ Member‚ IEEE Abstract—In this paper‚ we propose a probabilistic approach to finding failure-causing inputs based on Bayesian estimation. According to our probabilistic insights of software testing‚ the test case generation algorithms are developed by Markov chain Mote Carlo (MCMC) methods. Dissimilar
Premium Conditional probability Probability theory Random variable
| | (0‚ ∞)Question 8 Find the largest open interval(s) where the function is Increasing y = x4 - 18x2 + 81Answer | | (-∞‚ 0) | | | (-3‚ 0) | | | (-3‚ 3) | | | (3‚ ∞) | Question 9 S(x) = -x3 + 6x2 + 288x + 4000‚ 4 ≤ x ≤ 20 is an approximation to the number of salmon swimming upstream to spawn‚ where x represents the water temperature in degrees Celsius. Find the temperature that produces the maximum number of salmon.Answer | | 8°C | | | 20°C | | | 4°C | | | 12°C |
Premium Maxima and minima Optimization
Calculations: a. 1. W = Vend − Vstart W = 1.87 mL – 0.92 mL W = .95 mL Wave = W1+W22 Wave = .95 mL+ .88 mL2 Wave = .915 mL 2. Vstartave = Vstart1+Vstart22 Vstartave = .92 mL+ .90mL2 Vstartave = .910 mL VRave = Vstartave + Wave2 VRave = .910 mL + .915 mL2 VRave = 1.37 mL 3. k’ = Vrave-VmVm k’ = 1.37 mL-.49 mL.49 mL k’ = 1.79 4. α = k’bluek’red α = 4.141.79 α = 2.31 5. R = (VRaveBlue-VRaveRed).5 (Wave(Blue)+Wave(Red))
Premium Normal distribution Alternating current
MT105a Study Notes – J.Fenech Chapter 1/2 – Basics 1. Basic notations 1.1. Sum of: ∑ 1.2. Product of: ∏ 2. Sets A = {1‚2‚3} describes the set A containing members 1‚ 2‚ and 3. A={n | n is a whole number and 1≤n≤3} x A denotes that x is a member of set A S T denotes that S is a subset of T A B is the set whose members belong to either set A‚ set B or both i.e. A B = {x | x A or x B} A B is the intersection of 2 sets where A B = {x | x A and x B} denotes an empty
Premium Maxima and minima Calculus Derivative
..... / memo.mlp (mlp) 10.12.20 08:41:34 Research Memorandum No.1129 December 3‚ 2010 Words of Probability ISHIGURO‚ Makio(The Institute of Statistical Mathematics) Words of Probability ISHIGURO‚ Makio(The Institute of Statistical Mathematics) Key Words: subjective probability‚ confidence‚ belief‚ frequency‚ verbal expression Abstract There are everyday expressions such that ’probably’; ’might be’;’could be’ etc.‚ to describe the strengths of one’s confidence in the occurrence
Premium Decision theory Conditional probability Statistics