In a sweepstakes sponsored by Gemini Paper Products, 150,000 entries have been received. If 1 grand prize is drawn, and 5 first prizes, 20 second prizes, and 550 third prizes are to be awarded, what is the probability that a person who has submitted one entry will win the following? (a) the grand prize (Round your answer to eight decimal places.) (b) a prize (Round your answer to four decimal places.)

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Q: 0 1 2 0 3 0 4 5 1 4 X

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A: For any complex  number a+ib, a,b∈ℝ we know that  the polar form of a+ib is reiθ, where r=a2+b2 and…

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A: Given data: n 0 1 2 3 4 5 6 7 8 9 10 xn 0 80 160 240 320 400 480 560 640 720 800 wn 0 75 83…

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A: Sol:- To calculate the amount that the firm can raise by issuing 10,000 bonds, we need to first…

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Q: 1.19 Assume that h: R² R³ is determined by this action. (1) - (9). 2 Using the standard bases, find…

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Q: c) Which of the following functions are analytic in 121² 2 2: 42²26649 (ii) Z²-1 Z-√√Z²74

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Q: Question 2. Let A and B be any given sets. Using logical equivalences, prove that An (ANB) А Make…

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Q: Consider the Initial Value Problem: x₁ x₂ = X₁ -i V₁ = x2 = = (a) Find the eigenvalues and…

A: The given system of differential equation is: x1'=3x1+3x2x2'=-6x1-3x2 With x10=5 and x20=9.

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Q: 3. Consider the autonomous ODE: 10 5 0 -5 -10 -15 dx = f(x) where the graph of f is given by dt (a)…

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Q: Find the remaining zeros of each function and write in factored form. 13. f(x) = x + 3x³ - 29x² - 3x…

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Q: In Exercises 5-8, use the definition of Ax to write the matrix equation as a vector equation, or…

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Q: Can I have an explanation of why this isn't  UnVn < L1L2 + ε?

A: Yes. This is a typing mistake.

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Q: How many prices are between $29.99 and $70?

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Q: _C 16. Suppose R is commutative and let I and J be ideals of R, so R/I and R/J are naturally…

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Q: d² y dx² - 4 dy = + 4y = 3 e²x 2√√x' x > 0.

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Q: -5/-4 -3 -2 -1 2 -1 -2 2 34 What is the least possible degree of the polynomial graphed above?

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Q: 1. Show that if a, b, and c are integers, where a # 0, and b = 0, such that a b and b | c, then a c.

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Q: For the function y = (x² + 3)(x³ - 4x), at (-2, 0) find the following. (a) the slope of the tangent…

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Q: An airplane flies at an altitude of y-5 miles toward a point directly over an observer (see figure).…

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Q: Let n be a positive integer. Write the digits of n in decreasing order, then write the digits in…

A: Sol:- Let the digits of n be d1, d2, ..., dk, where d1 is the highest digit and dk is the lowest…

Q: An empty champagne bottle is tossed from a hot-air balloon. Its upwards velocity is measured every…

A: Given, t (sec) 0 1 2 3 4 5 v (ft/sec) 26 -6 -38 -70 -102 -134 To find the linear function.

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Q: Consider the function y = f(x) graphed below. Give the x-coordinate of a point where: A. the…

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Q: erify the Cayley-Hamilton Theorem for a general 2 x 2 matrix A, a b -[1]. For a nonsingular n x n…

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Q: A bakery has a special surprise box of twenty cookies that come with a random assortment of cookies…

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Q: Show that the Catalan numbers count the following. (a) Sequences (1, 2,..., æn) of positive integers…

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Q: Solve the following first order differential equation dy/dx = (4x3y)/(3y2-x4)

A: We can solve the given differential equations.

Q: Given points M and N, RMN = .  If M is located at (36, -44, 31), then N is located at

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Q: 3. Assume A, B are an n x n invertible matrices and c, c‡0 is a scalar, prove the following…

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Q: Q6// Graph, with details, 6r = tan 0 sec 0.

A: Solution:-

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Q: Let x≥2, conjecture and prove an expression with no summation signs and no recursviely calculated…

A: To begin, we define S(x, k) as the number of ways to choose k distinct elements from the set {1, 2,…

Q: Let J be a Jordan block. Prove that the Jordan canonical form of the matrix JT is J.

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Q: Which of the following are true for the matrix A in reduced row echelon form (there is no augmented…

A: Solution: