Suppose Var(X) = 42, and a = .92. What is Var(aX)?

Q: Consider the LPP in standard form of maximizing 1x₁ + 2x2 + 1x3 subject to the feasible set: x₁ + x2…

A: Given Information:The provided LPP is as follows:To find:a) Write in matrix form from the canonical…

Q: In Problems 25-28 consider the two-compartment model for two tanks with respective volumes V₁ and…

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Q: Suppose Cov(X,Y) = 419. What is Cov(19X, 71Y)?

A: The objective of this question is to find the covariance of the two variables 19X and 71Y given the…

Q: (8) In each of the following cases determine whether the ordinary differential equation is simple,…

A: An ordinary differential equation dydx=f(x,y) is said to be separable if it can be written as…

Q: The table below contains price-demand and total cost data for the production of treadmills, where p…

A: 282Explanation:We need to find the estimated variable cost per treadmill, that is:C/xIn regression…

Q: You have just been appointed to the staff planning committee of your firm. Based on the below…

A: Beginning Work in Process is:950,700 hours            Work Completed the period is:70,000 hours…

Q: 1. Consider the Sturm-Liouville equation dz (p(x)du) — q(x)u + \p(x)u = 0 dx on a 0 and q > 0 for a…

A: Answer Explanation:Approach to solving the question: Detailed explanation: Examples: Key references:

Q: An augmented matrix [A]b] has been formed for a system of equations Ax = b, and then Gaussian…

A: We have to find the solution of given system of equations (in reduced row echelon form).

Q: Find a 3 × 2 matrix A and has LU factorization where L is diagonal.

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Q: Find an LU -9 -9 0 2 -45 -63 72 62 L U = factorization for -8 -8 8 8 -104 -111 56 36

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Q: Use Stokes's Theorem to evaluate fF.dr. In each case, C is oriented counterclockwise as viewed from…

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Q: When Ibuprofen is given for fever to children 6 months of age up to 2 years, the usual dose is 5…

A: The objective of this question is to calculate the dosage of Ibuprofen for a child who is 18 months…

Q: MULTIPLE ATTRIBUTES EVALUATION OF VARIANTS A company engaged in the production of sets for…

A: The criterion matrix for evaluating production variants is :Production…

Q: Determine whether the given set of vectors is linearly independent or dependent. Show your work and…

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Q: A tank with a capacity of 700 gal originally contains 100 gal of water with 100 lb of salt in…

A: Given thata tank with a capacity of 700 gal originally contains 100 gal of water with100 lb of salt…

Q: The city of Raleigh has 9200 registered voters. There are two candidates for city council in an…

A: The objective of the question is to identify the target population for the survey conducted before…

Q: Solve the following linear program using the simplex method by using slack variables to get a basic…

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Q: Suppose the relationship between Y and X is given by: Y =  -10 - 25X By how much does Y change if X…

A: The objective of the question is to find out the change in the value of Y when X decreases by 2…

Q: The table below contains price-demand and total cost data for the production of treadmills, where p…

A: Use the data to find the linear regression equation for price-demand, using x as the independent…

Q: 2. As we will study in the coming weeks, the one-dimensional motion of a mass attached to a spring…

A: The given differential equation is , where  is a positive parameter.We need to find its particular…

Q: Let f: R → R be defined by f(x) = 1 + x³. Assume f is bijective and use the method from class to…

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Q: A ball with mass 1.5 kg is thrown upward with initial velocity 2 m/s from the roof of building 15 m…

A: Consider gravity and air resistance to set up the initial value problem for ball velocity. Gravity…

Q: In this problem you will use variation of parameters to solve the nonhomogeneous equation ty"-ty' -…

A: Here, we have to use method of variation of parameters to solve given non homogeneous differential…

Q: Give the order of the element in the factor group (2,3)+⟨(0,3)⟩ in (Z10×Z4)/⟨(0,3)⟩

A: The order of the element (2 3 +  <(0, 3)> in (Z⁠⁠⁠⁠⁠⁠⁠10×Z4) / <(0, 3)> is…

Q: A population of beetles are growing according to a linear growth model. The initial population (week…

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Q: 2K रिहा K2 =n(AI) (2n71) 6

A: I have proved it by mathematical induction.For details please see the explanation.If you have any…

Q: Problem 8. Prove that if R is a finite ring with unity then any prime ideal is a maximal ideal.

A: Prove that if  is a finite ring with unity then any prime ideal is a maximal ideal.

Q: For function f(x), f(0) = 5, f'(0) = 4,f"(0) = 7, and f(0) = 10. Using the Taylor series expansion…

A: The Taylor's series of a function f(x) at x=a is given by f(x)=∑n=0∞f(n)(a)n!(x−a)n

Q: Solve the following D.E: 2. y' - x²y² = x²

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Q: 5. Let f(x) = -1 0<x<T 0 π < x < 2π 1 2π <x<3π (a) Find the sin series for f(r) with period 67. (b)…

A: 5) (a)

Q: These two scientists went on to compare spiders eating habits with humans, pointing out that humans…

A: Given that humans eat  million tons of meat and fish each year. Need to calculate the average amount…

Q: Solve y(x) for the Second Order ODE in parameter form: y"+7y'+10y=6e^3x

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Q: Solve the following D.E: dy 4. = dx xy3 1+x² ,y (0) = 1

A: 4)Given 1st order non linear differential equation is the following :by separation method we get…

Q: Calculate only the (complete) extensions of the curve: x^2 y + 2xy - x^2 + y = 0.

A: We have given the curve:The complete extension of the curve is the set of all points  that satisfy…

Q: Suppose the relationship between Y and X is given by: Y =  -5 - 10X What is Y when X is -100?

A: The objective of this question is to find the value of Y when X is -100 in the given equation Y = -5…

Q: 1) How was the direction vector determined to be (1, 1, 1) if when solving for the tangent line at t…

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Q: Bibbins Manufacturing produces softballs and baseballs for youth recreation leagues. Each softball…

A: Given, Softball production cost: , and selling price: Baseball production cost: , and selling price:…

Q: you did part a wrong. shouldnt there be 2 shifts? what happened to the shift from sin(3t+1)? why is…

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Q: a) Find a (b + c) b) Find | a. (b+c) |. State its geometric interpretation. c) Find a vector that is…

A: a=3i-2j+k,b=-2i+j-4k,c=-i+j-3k

Q: A company's total sales (in millions of dollars) t months from now are given by S(t) = 0.03³ +0.5t²…

A: Predicted total sales 10 months from now are $103 million. Explanation:Predicted total sales 10…

Q: Pete Corporation produces bags of peanuts. it's fixed cost is $24,000. each bag sells for $5.00 with…

A: Breakeven point in units = 16,000 Units or BagsExplanation:Breakeven point in units = Fixed…

Q: DATA TABLE Number of books 1 2 3 1 2 3 Height of books, h (m) 0.76 0-115 0.154 Number of Height of…

A: How to find :Now use this formula to find .

Q: The Manhattan distance for the standardized observations of (–1.85, 0.65) and (0.55, –0.75) is…

A: The objective of this question is to calculate the Manhattan distance between two points in a…

Q: The table summarizes results from 982 pedestrian deaths that were caused by automobile accidents.…

A: The objective of this question is to find the probability that the pedestrian was not intoxicated or…

Q: Find the domain of definition for each of the partial functions. a. f from R to R defined by f(x) =…

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Q: 3. Find the solution of the partial differential equation Ju Ju +t= = 0, Ət əx where it is specified…

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A: The objective of the question is to rewrite the given differential equation in the form L(y) = g(x),…

Q: Problem 3. The following function T has an inverse. Find the inverse of T. I.e. find a function S:…

A: Given linear transformation is T:R4→R4 defined by T(x→)=[10−11213−10010124−4]x→The matrix…

Q: 2) Travel times by rail for a segment of the Eurail system are shown below with travel times in…

A: We have a travel time for a segment of the Eurail System by rail (in hours).We have to create a…

Q: Evaluate the definite integral 2 S/-x²+4/dx -1

A: