8 the sum of a number y and 9 is at least

    • [PDF File]TRANSLATING KEY WORDS AND PHRASES INTO ALGEBRAIC EXPRESSIONS

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      imply at least two parts – use parentheses when a sum or difference is multiplied. ... the sum of The sum of a number and five x + 5 ... is the same as Eight is the same as twice a number. 8 = 2x yields Twelve added to a number yields five. x + 12 = 5

    • [PDF File]Review Problems for Exam 3

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      = 8:393: The y-intercept is given by the formula b= P y n m P x n = 152 7 ( 8:393) 21 7 = 46:893: Therefore, the equation of the regression line is ^y= 8:393x+ 46:893, where x represents the number of decades since 1950. (e)Predict the number of days the SLC NWS’s forecast will be o by at least 10 degrees in 2020.

    • [PDF File]MATHCOUNTS

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      An arithmetic series of positive integers has 8 terms and a sum of 2008. What is the smallest possible value of any member of the series? How many whole numbers n, such that 100 ≤ n ≤ 1000, have the same number of odd factors as even factors? If x and y satisfy (x − 3)2 + (y − 4)2 = 49, what is the minimum possible value of x2 + y2 ?

    • [PDF File]ECE-223, Solution for Assignment #8 - University of Waterloo

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      8 - - 0 0 9 - - - - y = CD + C′D′ 10 - - - 0 11 - - - - 12 - - - - z = D′ 7.24) The following is a truth table of a 3-input, 4-output combinational circuit. Tabulate the PAL programming table for the circuit and mark the fuse map in a PAL diagram similar to the one shown in Fig. 7-17. Page: 4

    • [PDF File]Translating English Words Into Algebraic Expressions

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      One half a number is 10 x/2 = 10 Five times the sum of x and 2 5(x + 2) Seven is greater than x 7 > x Five times the difference of a number and 4 5(x - 4) Ten subtracted from 10 times a number is that number plus 5 10x - 10 = x + 5 The sum of 5x and 10 is equal to the product of x and 15 5x + 10 = 15x The sum of two consecutive integers

    • [PDF File]MATH 2113 - Assignment 8 - Dalhousie University

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      8. Find (with proof!) the chromatic number of the Petersen graph. Since the Petersen Graph contains a 5-cycle as a subgraph, we know the chromatic number must be at least 3 (any odd cycle would do). Here is a particular colouring using 3 colours: Therefore, we conclude that the chromatic number of the Petersen graph is 3. 9.

    • [PDF File]8. Goodness of fit in regression.

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      • The five-number summary for the distribution of a quantitative variable consists of the minimum, lower quartile, median, upper quartile, and maximum. • Technically the IQR is not the interval (25th percentile, 75th percentile), but the difference 75th percentile – 25th. • Suppose data are 1, 3, 7, 7, 8, 9, 12, 14.

    • [PDF File]Lecture 8: Joint Probability Distributions

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      characteristics X and Y: 1. Discrete Case: Let X and Y be two discrete random variables. For example, X=number of courses taken by a student. Y=number of hours spent (in a day) for these courses. Our aim is to describe the joint distribution of X and Y. (P. Vellaisamy: MSU-STT-351-Sum-19B) Probability & Statistics for Engineers 2/34

    • [PDF File]The Pigeonhole Principle - Stanford University

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      Theorem: For any natural number n, there is a nonzero multiple of n whose digits are all 0s and 1s. Proof: For any k in the range 0 ≤ ∈ ℕ k ≤ n, consider S k defined as Now, consider the remainders of the S k 's modulo n.Since there are n + 1 S k 's and n remainders modulo n, by the pigeonhole principle there must be at least two S k

    • [PDF File]Nonlinear Least Squares Data Fitting

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      Nonlinear Least Squares Data Fitting D.1 Introduction A nonlinear least squares problem is an unconstrained minimization problem of the form minimize x f(x)= m i=1 f i(x)2, where the objective function is defined in terms of auxiliary functions {f i}.It is called “least squares” because we are minimizing the sum of squares of these functions.

    • [PDF File]RD Sharma Solutions Class 8 Playing With Numbers Exercise ...

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      Given that the number 67j/19 is divisible by 9, where y is a digit, what are the possible values of y? ... sum of the digits of the number 51439786 = 5 + 1 + 4 + 3 + 9 + 7 + 8 + 6 = 43. ... If two numbers are co-prime, at least one of them must be a prime number. Ans: False (x) The sum of two consecutive odd numbers Is always divisible by 4

    • [PDF File]TRANSLATING FROM ENGLISH PHRASES TO MATHEMATICAL ...

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      8. the difference of the product of x and y and z 9. the product of the sum of x and y and the difference of x and y 10. the product of x and the sum of y and z 11. x more than y 12. x less than y II. Translate each of the following mathematical expressions into an English phrase using the words sum, difference, product and/or quotient. 13. x(y ...

    • [PDF File]RD Sharma Solutions For Class 8 Chapter 5 Playing with Numbers

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      And, if a number is divisible by 9 then sum of digits must be a multiple of 9. Aakash Institute. i.e., 6 + 7+ y + 1 + 9 = multiple of 9 ... If two numbers are co-prime, at least one of them must be a prime number. (x) The sum of two consecutive odd numbers is always divisible by 4. Solution: (i) If a number is divisible by 3, it must be ...

    • [PDF File]8.4 Solving Multi-Step Inequalities - Big Ideas Math

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      3 is equal to the sum of the game scores divided by the number of games. Exercises 12–17 The phrase “at least” means greater than or equal to. A −10 −9 −8 −7 −6 −5 −4 B −10 −9 −8 −7 −6 −5 −4 C 456789 10 D

    • [PDF File]ECS20: Homework 8 Hints - University of San Francisco

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      Section 6.4 #8 Question: What is the expected sum of the numbers that appear when three fair dice are rolled? Hints: By Theorem 3 (page 429), we know that the expectation of a sum is the sum of expectations. Create three random variables, X, Y, Z, where each gives the value of a specific dice. Answer Format:

    • [PDF File]Translating Words into Algebra - Leeward Community College

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      9 plus m 9 + m Subtraction Subtract, subtract from, difference, between, less, less than, decreased by, diminished by, take away, reduced by, exceeds, minus - Subtract x from y y - x From x, subtract y x - y The difference between x and 7 x -7 10 less m 10 - m 10 less than m m - 10 p decreased by 11 p - 11 8 diminished by w 8 - w y take away z ...

    • [PDF File]CBSE Class 8 Maths Sample Paper Set 1 Solution - Byju's

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      (a) If a number is divisible by 9, the sum of the digits of the number is divisible by 9 Given number is 231325x = 2 + 3 + 1 + 3 + 2 + 5 + x = 16 + x 16 + x is divisible by 9, when x values are 2, 11, 20 - - - - - - - Therefore, the least number of x is 2. (b) If a number is divisible by 11, (Sum of all odd digit values) – (Sum of all even ...

    • [PDF File]2 0 2 1 Y O U T H R I S K B E H A V I O R S U R V E Y R E ...

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      N = Number of students in this subgroup. *Non-Hispanic. Note: 6 students were excluded from this analysis. ... 18 or older 6.3 ( 4.4 - 8.9 ) 372 7.9 ( 4.9 - 12.5 ) 224 4.3 ( 2.1 - 8.5 ) 147 Grade ... (on at least 1 day during the 30 days before the survey, among students who had driven a car or other vehicle during the 30 days before the survey ...

    • [PDF File]Math 224 Fall 2017 Homework 3 Drew Armstrong - Miami

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      Math 224 Fall 2017 Homework 3 Drew Armstrong Problems from 9th edition of Probability and Statistical Inference by Hogg, Tanis and Zim-merman: Section 2.1, Exercises 6, 7, 8, 12.

    • [PDF File]Linear Least Squares - Stanford University

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      ANOVA decompositions split a variance (or a sum of squares) into two or more pieces. Not surprisingly there is typically some orthogonality or the Pythagoras theorem behind them. 2.3 Algebra of least squares The predicted value for y i, using the least squares estimates, is ^y i= Z i ^. We can write the whole vector of tted values as ^y= Z ...

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