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You must use the "*" (star) symbol for all multiplications!x(x1) is WRONG!Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyContinuous Random Variables can be either Discrete or Continuous Discrete Data can only take certain values (such as 1,2,3,4,5) Continuous Data can take any value within a range (such as a person's height)

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Graph p(x)=(x2)(x2)(x3) Find the point at Tap for more steps Replace the variable with in the expression Simplify the result Tap for more steps Simplify each term Tap for more steps Raise to the power of Raise to the power of Multiply by Multiply by Simplify by adding and subtracting Tap for more steps(x5)(x3)(2x1)=0 Three solutions were found x = 1/2 = 0500 x = 3 x = 5 Step by step solution Step 1 Equation at the end of step 1 (x 5) • (x 3) • (2x 1) = 0 Step 2First type the equation 2x3=15 Then type the @ symbol Then type x=6 Try it now 2x3=15 @ x=6 Clickable Demo Try entering 2x3=15 @ x=6 into the text box After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x3=15 2(6)3 = 15 The calculator prints "True" to let you know that the answer is right More Examples

Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyThe main definitions and by listing several results which were proved in lectures (and Notes 3) Let X and Y be two discrete rv's with a joint pmf fX;Y(x;y) = P(X = x;Y = y) Remember that the distributions (or the pmf's) fX(x) = P(X = x) of X and fY(y) = P(Y = y) of Y are called the marginal distributions of the pare (X;Y) andWhen x = 1, y = 10Therefore, p x q(1 1) = 10 p x q0 = 10 p x 1 = 10, p = 10When x = 6, y = p x q(6 1)= 10 x q5 = q5 = , q = (0031

Transcript Ex 24, 3 Find the value of k, if x 1 is a factor of p(x) in each of the following cases (i) p(x) = x2 x k Finding remainder when x2 x k is divided by x 1 Step 1 Put Divisor = 0 x 1 = 0 x = 1 Step 2 Let p(x) = x2 x k Putting x = 1 p(1) = (1)2 1 k = 1 1 k = 2 k Thus, Remainder = p(1) = 2 k Since x 1 is a factor of x2 x k Remainder is zero, 2 k = 0 k4 RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS FX(x)= 0 forxSoluzione 1 217 E X 1 2 3 4 5 6 6 6 2 2 2 2 Var X E X E X 2 2 2 2 2 2 E X 2 X E from INFORMATIC 2 at Marconi University

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P 1 x P 2 x P 3 x P 4 x P 5 x P 6 x x 1 P 1 x P 2 x P 3 x P 4 x P 5 x P 6 x f 3 P 1 x p 2 x p 3 x p 4 x p 5 x p 6 x x 1 p 1 x p 2 x p School Pinecrest School;The rational function f(x) = P(x) / Q(x) in lowest terms has an oblique asymptote if the degree of the numerator, P(x), is exactly one greater than the degree of the denominator, Q(x) You can find oblique asymptotes using polynomial division, where the quotient is the equation of the oblique asymptoteStack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack Exchange

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Course Title FCFM 101;Uploaded By oll19 Pages 12 This preview shows page 11 12 out of 12 pagesNotice the different uses of X and x X is the Random Variable "The sum of the scores on the two dice";

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First type the equation 2x3=15 Then type the @ symbol Then type x=6 Try it now 2x3=15 @ x=6 Clickable Demo Try entering 2x3=15 @ x=6 into the text box After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x3=15 2(6)3 = 15 The calculator prints "True" to let you know that the answer is right More ExamplesIn mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x −1, is a number which when multiplied by x yields the multiplicative identity, 1The multiplicative inverse of a fraction a/b is b/aFor the multiplicative inverse of a real number, divide 1 by the number For example, the reciprocal of 5 is one fifth (1/5 or 02), and the reciprocal of 025 is 1(x2) supplies the rest 3 So, from something theorem f(2) = 3 replace for x and get a 2nd equation containing p and q you presently have 2 simultaneous equations containing the two p and q sparkling up them

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Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyIt means a function x of x1x*(x1) is rightUse the ^ (caret) for exponentiation x^2 means x squared x/2y means Resources Simplifier Portal, help with entering simplifier formulas (a must read)13/8 in x 113/8 in x 61/2 in Polyurethane Salem Urn Center Onlay Moulding Our appliques and onlays are the perfect Our appliques and onlays are the perfect accent pieces to cabinetry, furniture, fireplace mantels, ceilings and more Each pattern is carefully crafted after traditional and historical designs

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50 None of the other choices is correct 25 15Step by step solution Step 1 Equation at the end of step 1 (((x 3) 2 2 x 2) x) 6 = 0 Step 2 Checking for a perfect cube 21 x 34x 2 x6 is not a perfect cube Trying to factor by pulling out 22 Factoring x 34x 2 x6 Thoughtfully split the expression at hand into groups, each group having two terms11 Find roots (zeroes) of F(x) = x 6x 5x 4x 3x 2x2 Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0 Rational Roots Test is one of the above mentioned tools

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A) 6x(x^22)^2 B) 6x(x1)(x^22)^2 C) (x^22)^2(x^23x1) D) (x^22)^2(7x^26x2) E) 3(x1)(x^22)^2 I know that the answer is D (because I have all of the answers), but I'd like to know how to arrive at that Correct me if I'm wrong, but I'm pretty sure it's a chain and product rule combined This is what I've done so far f = x1 f' = 1 g = (x^22)^3 g' = 6x(x^22)^2 6x(x1)(x^22)^2(x^22The mean is the Sum of (X × P(X)) μ = 36 The variance is the Sum of (X 2 × P(X)) minus Mean 2 Variance σ 2 = 1332 − 36 2 = 036 Standard Deviation is σ = √(036) = 06 And we got the same results as before (yay!)The points (x,y,z) of the sphere x 2 y 2 z 2 = 1, satisfying the condition x = 05, are a circle y 2 z 2 = 075 of radius on the plane x = 05 The inequality y ≤ 075 holds on an arc The length of the arc is 5/6 of the length of the circle, which is why the conditional probability is equal to 5/6

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(x2)(x3)(x1) It is usually really, really hard to factorize a cubic function However, for this polynomial, we can factor by grouping We try values for splitting the term 4x^2 For example, we split it into 2x^22x^2 The equation becomes this (x^32x^2)(2x^2x6) We can factorize each of the expressions in the parentheses x^2(x2)(x2)(2x3) There is a common factor (x2The answer should be 22 As P(Q(x)) = P(x)R(x) P(x) = (x1)(x2)(x3) (Q(x) 1)(Q(x) 2)(Q(x) 3) = (x1)(x2)(x3)R(x) And R(x) is a 3 degree polynomial SoQuestion 17 1 pts X 1 2 p(x) 5 5 Y 1 2 ply) 9 1 What is the mean of XY?

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No, x 2 − 1 cannot be the quotient on division of x 6 − 2 x 3 x − 1 by a polynomial in degree 5 because the degree of the product of the quotient and the divisor should be equal to the power of the dividend26 3 None of the other choices is correct 15 Question 18 1 pts x 1 2 p(x) 5 5 What is the variance of X?Continuous Random Variables can be either Discrete or Continuous Discrete Data can only take certain values (such as 1,2,3,4,5) Continuous Data can take any value within a range (such as a person's height)

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X is a value that X can take;In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x −1, is a number which when multiplied by x yields the multiplicative identity, 1The multiplicative inverse of a fraction a/b is b/aFor the multiplicative inverse of a real number, divide 1 by the number For example, the reciprocal of 5 is one fifth (1/5 or 02), and the reciprocal of 025 is 1X a 1 x x 1 a 2 x x 2 a 3 which can be evaluated backwards with the following X a 1 x x 1 a 2 x x 2 a 3 which can be evaluated School Autonomous University of Puebla;

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Uploaded By KidResolve3134 Pages 433 This preview shows page 114 118 out of 433 pages1x (1−x)3 2 Geometric Distributions Suppose that we conduct a sequence of Bernoulli (p)trials, that is each trial has a success probability of 0 < p < 1 and a failure probability of 1−p The geometric distribution is given by P(X = n) = the probability that the first success occurs on trial n(−1)kx2k = 1−x2 x4 −x6 ··· = X∞ k=0 (−x2)k = 1 1−(−x2) = 1 1x2, for x < 1 f(x) = X∞ k=0 x2k1 3k = x 1 3 x3 1 9 x5 1 27 x7 ··· = x X∞ k=0 x2 3 k = x 1−(x2/3) = 3x 3−x2 for x2/3 < 1 12 Radius of Convergence Radius of Convergence There are exactly three possibilities for a power series P a kxk Radius

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11 Find roots (zeroes) of F(x) = x 6x 5x 4x 3x 2x2 Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0 Rational Roots Test is one of the above mentioned toolsNotice the different uses of X and x X is the Random Variable "The sum of the scores on the two dice";F(x,y) = ˆ cx2 xy 3 if 0 ≤ x ≤ 1, 0 ≤ y ≤ 2 0, otherwise (a) Find c (b) Find P(X Y ≥ 1) (c) Find marginal pdf's of X and of Y (d) Are X and Y independent (justify!) (e) Find E(eX cosY) (f) Find cov(X,Y) We start (as always!) by drawing the support set (See below, left) 2 1 2 1 1 x y=1−x y x y support set Blue

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X 5 4x 3 x 2 3x = x • (x 4 4x 2 x 3) Checking for a perfect cube 42 x 4 4x 2 x 3 is not a perfect cube Trying to factor by pulling out 43 Factoring x 4 4x 2 x 3 Thoughtfully split the expression at hand into groups, each group having two terms Group 1 x 3 Group 2 x 4 4x 2 Pull out from each groupGraph P(x)=(x1)(x1)(x2) Find the point at Tap for more steps Replace the variable with in the expression Simplify the result Tap for more steps Simplify each term Tap for more steps Raising to any positive power yields Raising to any positive power yields Multiply by Multiply byCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history

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Then p = P(X = 1) = P(A) is the probability that the event A occurs For example, if you flip a coin once and let A = {coin lands heads}, then for X = I{A}, X = 1 if the coin lands heads, and X = 0 if it lands tails Because of this elementary and intuitive coinflipping example, a Bernoulli rv is sometimes referred to as a coin flipSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history

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X^45x^24=0 \sqrt{x1}x=7 \left3x1\right=4 \log _2(x1)=\log _3(27) 3^x=9^{x5} equationcalculator x^2x6=0 en Related Symbolab blog posts High School Math Solutions – Quadratic Equations Calculator, Part 1 A quadratic equation is a second degree polynomial having the general form ax^2 bx c = 0, where a, b, and cG(x) 6 lim x!a f(x) g(x) = lim x!a f(x) lim x!a g(x) provided lim x!a g(x) 6= 0 The Theorem also hold for onesided limits and, with a little care,1 for infinite limits For example, if lim x!2 f(x) = 3 and lim x!2 g(x) = ¥, then lim x!2 f(x) g(x) = ¥ and lim x!2 f(x)g(x) = ¥ Corollary Suppose that p(x) = cnxn cn 1xn (1 c1x c0 is

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