The following table shows the profile, by the math section of the SAT Reasoning Test, of admitted students at UCLA for the Fall 2014 semester. SAT Reasoning Test-Math Section 700-800 600-699 500-599 400-499 200-399 Total 358 9 13,692 6,714 1,652 56,447 7,072 1,661 70,139 (Round your answer to two decimal places.) Admitted Not admitted Total applicants 3,517 1,410 18,363 13,119 14,529 8,398 16,599 24,997 21,880 Determine the probability of the following event. An applicant had a Math SAT below 400.

Q: Find the distance between (3,-4) and (-6,2).

A: I have explained everything with in the solution.please go through that.

Q: I have one question why do you consider F(x,y,z)=x^3+axyz+z^3 and you didn't consider the 1? I mean…

A: Note that the inclusion of -1 in the function F(x,y,z)=x^3+axyz+z^3-1 does not affect the gradient…

Q: When q is a positive real number, the improper integral ho dz 1 (1+x²)⁹ converges if and only if O…

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Q: 3 dx dt 2 - dx - dt dy dt 11x + 2. - dy dt +6y=e²t 7x+ +4y= t²

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

Q: Section 17.7) Verify Stokes' Theorem for F(x, y, z) = if C is the intersection of z = 4 + y and x² +…

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Q: Use the given inverse of the coefficient matrix to solve the following system. 1 7x₁ + 3x₂ = 12 -…

A: We have to solve the given system of equations using given data. Concept required: For a given…

Q: Let τ be a linear operator R5 on with minimal polynomial mτ (x) =(x2 + 1)(x2 − 1). Find the rational…

A: Since the minimal polynomial of τ is a product of distinct irreducible factors, we know that τ is…

Q: Determine the moment of inertia about the x-axis and the polar radius of gyration about point O for…

A: From the given information to find:

Q: can we have a polynomial Q(x,y,z) such that the subspace {(x,y,z):Q(x,y,z)=0} is a smooth…

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Q: (a) Calculate the exact length of the curve r- 1-sin0 for 0 ≤0 ≤ 2.

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

Q: Suppose that the functions f, g are entire and f(t+ti) = g(t+ti) for all t ∈ R. Justify that f ≡ g

A: This question related to complex analysis

Q: Let A = {0, 1, 2, 3), and dene a relation R on A as follows: R = {(0, 2), (0, 3), (2, 0), (2, 1) }…

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Q: Given the matrix A below, find the three matrices that will diagonalize it into A = PDP-¹. Use…

A: The following is the WOLFRAM MATHEMATICA CODE to perform the diagonalization operation. THE CODE A…

Q: Find the equation of the line which joins the intersection of the lines 2x + 3y - 5z = 0 and x- 2y…

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Q: 3. Use Green's Theorem to evaluate the line integral fy³dx + (x³ + 3xy²)dy, where C consists of the…

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Q: Find the sum 3 + 6 + 12 + 24 + ... + 3(2)^10

A: The given series is 3+6+12+24+...+3(2)10.

Q: 5. If f(t)= +1, -< t < 0 -1, 0<x< T & f(t) is periodic over 2π then find the Fourier series of f(t)…

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Q: 1 Determine the inverse Laplace transform of the function below. S-2 45² +5+16 Click here to view…

A: The function is:s-24s2+s+16 To Do:We have to determine the inverse Laplace transform of the given…

Q: Using the priority list T7, T6 T4 T2, T5, T₁, T3, schedule the project below with two processors. T1…

A: Note: I've provided the answer in Handwritten format Priority list - T7,T6,T4,T2,T5,T1,T3

Q: Consider the linear system ● A₁ = = i a. Find the eigenvalues and eigenvectors for the coefficient…

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Q: For the transition matrix P = 0.1 0.9 0.3 0.7 solve the equation SP = S to find the stationary…

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Q: Determine the cardinal number of the set. = {t\t € Z,t is even, E W = and |t| < 10}

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Q: Use the graph below to answer the following questions. h(v) -6 -4 5 14- 12 10- 8 6. 2 -2- -4 -6- -8…

A: From the graph the zeros of the function h are  -2, 1 and 3              The graph is…

Q: A tank holds 100 gal of a salt water solution in which 4.0 lbm of salt are dissolved. Pure water…

A: Given a condition in which; "A tank holds 100 gal of a saltwater solution in which 4.0 lbm of salt…

Q: Use any method to evaluate the integral. dx (x²-4)3/2' S dx (x²-4)3/2 3/2,X>2

A: For solving this:

Q: differential equations can help Forecasting Hurricane in:

A: Differential equations can be used to model the behavior of various physical systems, including the…

Q: Consider the planes 5x + 5y + 3x = 1 and 5x + 3x = 0. (A) Find the unique point P on the y-axis…

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Q: Given D is the finite region in upper half plane bounded by the line |s| + t = 1 and the x…

A: The property of the double integral :-

Q: Give a closed formula for the sequence: 3, 6, 12, 24, 48...

A: The given sequence 3, 6, 12, 24, 48,..... We have to find the closed formula for the sequence.

Q: 12) A license plate has 7 characters. Each character can be a capital letter or a digit except for…

A: We have to find correct  option by finding number of license plates in which no character appears…

Q: Use residues to evaluate the following improper integral: 1.000 r sin 2rdr x² +3 Use the following…

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Q: The values of various roots can be approximated using Newton's method. For example, to approximate…

A: Let f(x) ba any fuction then Newtons Iteration is xn+1=xn-f(xn)f'(xn)  , for n=0,1,2,....

Q: As one of the loan officers for Grove Gate Bank, calculate the monthly principal and interest, PI…

A: For solving this given problem:

Q: Show that 573108973521039687423609851329741250987230578938159270395187 is not a perfect square.

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Q: Determine the positive root of the equation cos cos x iteration method. Carry out the first five…

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Q: Complete parts (a)-(c). X y 1 2 -2 -1 O Linear O Cubic 3 4 0 1 5 5 6 14 d *** a) Find a cubic…

A: Given data, X Y 1 -2 2 -1 3 0 4 1 5 5 6 14 Scatter plot:

Q: Compute 9-¹1 (mod 19) using Fermat's Little Theorem. Show your work.

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Q: Use the given information to find the indicated probability. AnB = 0, P(B) = 0.6, P(AUB) = 0.6. Find…

A: Use the given information to find the indicated probability.   P(B) = 0.6, P(A U B) = 0.6.

Q: Determine whether the positive or negative square root should be selected. 1- cos 651° 2 sin 325.5°…

A: Given that: sin325.5°=±1-cos651°2. First quadrant from 0° to 90°. Second quadrant from 90° to 180°.…

Q: can you also use the trapezoid rule with N=4 to approximate the integral?

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Q: K Evaluate both integrals of the Divergence Theorems for the following vector field and region.…

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Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high…

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Q: Yes, I see. However, this is for students studying AB calculus in high school. Therefore, is there a…

A: Your idea of drawing a curve directly on the slope field that goes through the point (-2,-1) is an…

Q: An experiment is given together with an event. Find the (modeled) probability of each event,…

A: Given that: Two dice are rolled. The probability of the number added to 10 is obtained by the sum of…

Q: (2) Find the Fourier series for the func f(t) -T 0 T

A: Since there is more than one questions, find the solution of the first one.

Q: 6. The general solution of a discrete dynamical system xk+1 = Ax is given by x₁ = C₁ (2₂₁) kv₁+...+…

A: A=.64-.08.24.08.92.08.24.16.64 We need to find its eigenvalues by considering the equation…

Q: Calculate the curl(F) and then apply Stokes' Theorem to compute the flux of curl(F) through the…

A: The given problem is to find the curl of the given vector field and also to find the flux of curl of…

Q: Consider the following functions. f(x) = I-4 5 Step 1 of 2: Find the formula for f g)(x) and…

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Q: The following table shows the results of a survey of authors by a (fictitious) publishing company.…

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Q: 5. In this problem, F(x, y) = (y² +2, 2xy + 3y) and C is the line segment from (4, 2) to (0,3). a)…

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