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Q: S = {HH, HT, TH, TT} of equally likely simple events. We are interested in the following events: E₁…

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Q: If the graph of the equation is an ellipse, find the coordinates of the vertices on the minor axis.…

A: Given equation is x2 - 4xy + 4y2 -25 x +95 y -25=0

Q: (D) At least 0.6, but less than 0.7 (E) At least 0.7 You are given: (i) The prior distribution of…

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Q: coS x dx 6) 1 + 3 sin x A) In| 1+3 sin x|+C C - 를 In| 1 +3 sin x| +C

A: To evaluate ∫cosx1+3sinxdx

Q: The joint probabilities are summarized in the table below and we found P(I) = 0.09. Compute the…

A: Given that  P(I) = 0.09

Q: Month Demand 1 45 2 48 3 43 4 48 5 49 6 54 7 47 8 50 9 46 10 47 Using the table above, calculate two…

A: It is required to find the mean absolute deviation (MAD) for the exponentially smoothed, and…

Q: riable. 2. 4.5 5x 3 지 .7 y

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Q: Use Laplace transform to solve the given initial value problem: y"-4y' +4y=0; y(0) = 1, y'(0)=1

A: y''-4y'+4y=0y0=1y'0=1

Q: a A random variable X takes values between 0 and 4 with a cumulative distribution function F(x) for…

A: Solution-: Given:  F(x)=x216       for 0≤x≤4 We want to find only (e) The expected value of this…

Q: QUESTION 14 Suppose the random variables X and Y have a joint pdf as follows: f(x,y) = (3/8)(x +…

A: Answer:14 -  Given joint pdf of x and y is                       f(x, y) = 38x + y2,    for 0≤x≤2…

Q: Use cofactor expansion to show that the determinant of an upper-triangular matrix is the product of…

A: While computing the determinant using the brute-force formula requires O(n!) steps, there are more…

Q: (1-x 0<x<1 Find all the points of discontinuity of the function S(x) = } x + 2 1<x<3 x2 3 (x² – 4

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the radius and interval of convergence for the Maclaurin series = -Σ xk k! ex k=0

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Q: If x²y" + xy' +(x? -v-0 x>0,V=x sinx and y=y,v. Which of the following equations satisfied by v…

A: Explanation of the solution is given below...

Q: 12. The cdf for X (= measurement error) of Exercise 3 is x < -2 F(x) = {}+ (4x -2 < x < 2 32 1 2 < x…

A: Part d: We have been given the cdf of X as, F(x)=0…

Q: 8²y 0²= 250²2; 0 0 ду at² Using the www wwwww decomposition method, solve the equation for the…

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Q: REMARK: You will be asked to submit your work for this question at the bottom of this assessment.…

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Q: USA Today reported that approximately 25% of all state prison inmates released on parole become…

A: Given: x 0 1 2 3 4 5 P (x) 0.219 0.378 0.207 0.180 0.015 0.001

Q: Reduce the following A expression to normal form. Show each reduction step. If already in normal…

A: Consider the given expression:

Q: x+7 Consider the function f(x) = 1- 3x a. Find f(x). b. Graph f and f together. df c. Evaluate dx 1…

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Q: The potential difference across a battery is 9 V. How much charge must it deliver to do 50 Jof work?

A: Given that potential difference across a battery is 9V and having work done of 50J  we have to find…

Q: 1. An electronic store salesperson estimates the probabilities for the number of flat screen smart…

A: Ask per the question asked by student d and e   Given that  An electronic store salesperson…

Q: To show that the set of all finite strings over the alphabet {0,1,2,3} is countable, you would…

A: The bijection f : 0,1,2,3×→ℕ, lists the strings in string order 0 &lt; 1 &lt; 2 &lt; 3.…

Q: Test the pair of events C and D for independence based on the following table. A B 0.14 0.04 0.06…

A: The independence of the pair of events C and D is tested below.

Q: #gn. Don't provide handwriting solution

A: Incidence rate = (total new colds) / (total student-days at risk) * 1000Incidence Rate = (20 / 155)…

Q: 1-1 4 If A = 2 -2 4 3 -3 0] A corresponding to -1 and -1 is an eigenvalue of A, which of the…

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Q: Use MVP: 3D5X dr4

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Q: 1. If X-N(3, 5), Y-N(4, 2), and X and Y are independent, then Var (2X +3Y) = a. 38. b. 19. c. 5. d.…

A: Given X and Y are independent normal variates, so Cov(X,Y)=0 We know,…

Q: C 0.058 4 S 91850-0 15,000 $

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Q: 1) A bucket that weights 70lb when filled with water is lifted at a constant rate, by a mechanical…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.