Consider the following data: x 5 6 7 8 9 P( X = x) 0.1 0.2 0.3 0.2 0.2 Step 2 of 5 : Find the variance. Round your answer to one decimal place.

Q: Q1. Consider the following batch chemical system which we wish to model similarly to A=B-P The time…

A: According to the guideline, only three sub parts of this question will be solved.

Q: Prove that for all integers m and n, if m is odd and n is even, then mn is even.

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Q: . Let A = {1,2,3,4}, let S = P(A) and let R ⊆ S x S be a relation defined by the rule     (X,Y) ∈ R…

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Q: . The posts of a hockey goal net are 2.0m apart. A player attempts to score by shooting a puck along…

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Q: Row reduce the matrix A = 1 0 1 -7 2 0 1 -7 4 2 6 5 -2 -3 -7 - to RREF.

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Q: Osculating polynomial. (a) For some function f, you have a table of extended divided differences of…

A: (a)The given table is as…

Q: 1. The logistic equation is a classical model of population growth and is given by dx(1) = x(1) (1 –…

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Q: 5. New York Building Corporation uses the critical path method to monitor construction jobs. The…

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Q: Solve, 34-24 उप-टप = | ax

A: We have to solve the given problem

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Q: Find the solution to the following initial value problem y" + 5y′ − 6y = 0, y(0) = 0, y′(0) = 7.

A: Given differential equation is Then the corresponding auxiliary equation isTherefore, the general…

Q: Which graph has all four of the following characteristics? 1. The graph is symmetric with respect to…

A: Consider graph (a).For every point (x,y) in the 1st and 4th quadrant lying on the graph, there exist…

Q: Consider the following values. 1. lim p(t) t-ta 2. lim p(t) t-t₁ 3. lim p(t) t→tt 4. p(t₁) Compute…

A: The graph of the function  is given.The aim is to find the

Q: Forgive me if i'm incorrect....but x^2-yx+x-yx+y^2-y+3x-3y+3 =  (x^2+4x+3) -2yx +y^2 -4y not…

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Q: Let A be an m x n matrix with real number entries. Let N(A) be the null space of A, and let Col(A)…

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Q: .Write the equation of the graph below (-3,9) (-2,5) 10 9 8 7 6 5 + (-1.3) (0, 2) 1 --5-4-3-2-1, +…

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Q: Prove that the product of two integers, one of the form 3k₁ +2 and the other of the form 3k2 +2,…

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Q: each rope. 7. A ship is sailing at 20 km/h N30°E when it encounters a current of 6 km/h from the…

A: Ship Velocity is:20 km/h in the direction .The current velocity is:6 km/h from the south.The speed…

Q: A.) For any integers x and y, if x + y > 50, then x > 20 or y > 30. B.) For any integers x, y, and z…

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Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

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Q: If an investment grew to $11,500 in 3 years and the interest amount earned was $1,150, calculate the…

A: An investment grew to  in  years and the interest amount earned was We have to calculate the nominal…

Q: 1 -2 2-4 [2] Xx2 b₁ [b₂

A: Given the system   The objective is to show that there is a solution if .

Q: show there is a solution exactly where b2=2b1

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Q: Marginal Cost, Revenue, and Profit for Producing LED TVS The weekly demand for the Pulsar 25 color…

A: Given thatWe have to find the marginal revenue function  and marginal profit function .

Q: 1. The solution of the differential equation y - y = x³cos(x) es a) y = xsen(x)+cr b) y =…

A: The given differential equation is It is in the form of Linear differential equation The integrating…

Q: 1. Let l be the line and let S be the surface x = 4+2t, y = 3+t, z = 8-2t, z = xy + e*. Find the…

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Q: Consider the helix given by c(t) = (a cos (t), a sin(t), ct). Show that its acceleration vector is…

A: Given helix: We have to show that its acceleration vector is always parallel to the xy-plane.

Q: Verify that if y₁ and y2 are solutions of y" + p(t)y' + q(t)y = 0, then so is y = C₁y₁ + C2y2 for…

A: Given that  and  are solutions of .The objective is to verify that  is also a solution where  and…

Q: dy ax=y-x-1 + (x-y + 2)²¹ y(s) =n dx Determine the interval ON which the solution exists.

A: The given equation is…

Q: Royal Company holds a loan with an interest rate of 7.00% compounded semi-annually. Calculate the…

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Q: Andrew invested $15,000 in a savings account that earned 3% simple interest. Find the interest…

A: The objective of this question is to calculate the simple interest earned on an investment of…

Q: The line of intersection of the planes x + y + z = 0 and x - y = 0 is

A: The given planes are..Find the equation of the line in parametric form.

Q: A metal plate with density p(x) = = 4–3x² (g/cm^2), has a shape bounded by X = y², y = x¹ in the…

A: The density of the metal .The bounded region is  and

Q: 器 뽐 + 2ary 61 길

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Q: (d) If g(n) = O(f(n)) then cg(n) = O(f(n)) for any constant c as n → ∞. (e) If g(n) and f(n) are…

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Q: Suppose a and b are generators of a group G, that is, G = (a) = (b). Show that 4 : G → G given by…

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Q: Prove that if n is an integer and 3n+2 is even, then n is even using a proof by contradiction. Rank…

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Q: If $5,000 is borrowed at a simple interest rate of 3.70% p.a., calculate the interest charged for 10…

A: Simple Interest: Simple interest is a method of calculating interest on a loan or investment based…

Q: 3. The inequality of 3x 2 a) 3x² b) 3x²-9x+8 x-2 2 c) 3x² 9x > 0 d) < 0 3x²-9x x-2 - a) y b) y = 9x…

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Q: A. Select the element in f(x) that corresponds to the circled x. 70 X 8 10 ƒ: Z → Z. f(x) = [ 32 11…

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Q: a) Find LU- and LDU-decomposition of the matrix 1 0 1 A = 2 2 5 3 4 5 .

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Q: (a) Show that if n€ N, then <fdx. +1 (b) Conclude that the sequence (an) is a decreasing sequence,…

A: We shall plot the curves f(x)=1x,y=0,x=n,x=n+1 for n=2.The red-coloured curve is that of f(x)=1x.We…

Q: laplace y - 4y= 4 cos t, y(0) = 0, y (0) = 1 Steps Related Examples laplace transform y" - 4y = 4cos…

A: We have to find the solution by Laplace transform

Q: A pizza restaurant has two phone lines for taking delivery orders. An average of 40 people per hour…

A: GivenA pizza resturant has two phone lines for taking delivery orders.An average of  try to call the…

Q: when OP2 дрг (PUZ) 2. (PD 0² (₁) d+ dxi write th equation afte? Substituting for Z = SYF- Y a dxi -

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Q: Determine the minimal number of terms required to approximate the sum of the series with an error of…

A: The given series is .The given error is .We know that the maximum error in a convergent alternating…

Q: 11. If f(x) = (3x)² + 7 find f(-1) a. x = -2 b. x = 10 C. d. x = 43 x = 16 12. Determine the exact…

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Q: a. b. C. d. What is the cardinality of A, if A = Ø? What is the cardinality of A, if A = {a,b}? What…

A: We have to find the cardinality of the given sets.

Q: Let A = {2,4,6,8}, let S = P(A) and let R ⊆ S x S be a relation defined by the rule     (X,Y) ∈ R ⇔…

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