1. The table below represents the frequency distribution of total hours spent on extra mathematics exercises during a 14-week. Mathematics course by the 30 students enrolled in that course are: Hours of exercise No of students 1 6 10 0-29 30-59 60-89 90-119 120-149 150-179 a) Find the coefficient of skewness b) Determine the interquartile range. c) Calculate the range 7 4 2

Q: 14. A 15 ft ladder is leaning against a wall. The base of the ladder is 3 ft from the wall. How high…

A: In abobve figure:AC =  length of the ladder ( Hypotenuse ) = 15 ftBC =  The ladder is 3 ft from the…

Q: Let A be a diagonalisable 3 x 3 matrix with real entries. Working over C on V = C³: (a) Is it…

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Q: 2. Problem 2 Let A = 2 1 -1 1 -3 -1 1 0 1 1 " W = col(A), and x = 3 -4 -1 2 (a) Find Projw(x). (b)…

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Q: ) Consider the points which satisfy the equation y² = x³ + ax + b mod p 5, b 4, and p = 7. where a =…

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Q: Use series to approximate the definite integral to within the indicated accuracy. ²*x lerror <0.001…

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Q: Exercise 11.1.4 For u, v vectors in R³, define the product u *V = U₁v₁ +2u₂v2+3u3v3. Show that u*v ≤…

A: This follows by applying the CS inequality

Q: 1. Let G be a group, and let H and K be subgroups of G. Show that if KG, then HK/K ≈ H/(HK). This is…

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Q: Find the most general real-valued solution to the linear system of differential equations a' = T1(t)…

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Q: Eigenvalues: - Eigenfunctions: Yn || y" + xy = 0 with y(0) = 0, y(4) = 0. help (formulas) help…

A: We have the given differential equation..Now the auxiliary equation can be written asthe general…

Q: Consider the following linear optimization model: (P) min 2x1 +4x2+ 10x3 + 15x4 s.t. -x1 + x2 + x3 +…

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Q: T T T T F F F F 1. If P, then Q is logically equivalent to If ~Q, then ~P. 2. The statement P→ Q is…

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Q: The image displays that K1 = -2 is wrong. I got the same answer in my own work and still confused on…

A: Please check question carefully, It says that answer must contain at least three decimal places.

Q: Question 5 Compute SSS √ √ √ ( 2² + y² + 2 ²) dv where T is the solid defined by: x² + y² ≤z≤ √8-x²…

A: It is given that the solid  is bounded by the curves,Find the value of triple integral  as…

Q: Of the 8760 hours in a year, one television was on for 1752 hours. What percent is this? ol The…

A: The objective of this question is to find out what percentage of the total hours in a year the…

Q: Volume of the slice, then the Mass of the slice, the Force needed to lift it, and the Work needed to…

A: Volume: Volume of this slice = πr2dhMass:Mass of this slice = Volume of slice Density of waterForce…

Q: For each of the following, set up either a system of equations in two variables or a quadratic…

A: We know that the perimeter of a rectangle is 2(l+w) where l is length and w is width. We can set up…

Q: (c) For an object experiencing free fall from an airplane, the distance y meters that the ject falls…

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Q: Compute the volume of the solid in the first octant 3y and == 0. Question 6. E bounded by the…

A: The given problem is to find the volume of solid E in the first octant bounded by the paraboloid…

Q: SUBJECT: OPERATION RESEARCH Bevco manufactures an orange flavored soft drink called Oranj by…

A: Given information:Bevco manufactures an orange-flavored soft drink called Oranj.Oranj is made by…

Q: 1. Let F(t) = sint for t€ [-T/2, π/2]. Calculate (a) f/² xdF(x). (b) 2 xdF(x).

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Q: Let b₁ = [¹3] and 62 = [₁¹]. T(62) = 661 +362. (a) The B-matrix of T (in other words, the matrix of…

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Q: 2. For this system of 1st order ODE, y₁' = 4y₁ + 2y₂ −2e-²¹ Y₂' = 3y₁ +3y₂ + 3e-²¹

A: First order system

Q: Jane invest R8000 at an annual interest rate of 6% continuously compounded annually. how much will…

A: Here in this question we have to find how much will her investment be worth after 5 years. where the…

Q: ----2 0 2 y = f(x) 4 6 8 x g(x) = f* f (t f(t)dt Find all local maximum and local minimum values of…

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Q: Consider the initial value problem y' = y√t over the interval [0, 0.3] with initial condition y(0) =…

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Q: Calculate P(FIE), if P(E|F) = 0.59 P(E) = 0.88 P(F) = 0.62 Round your answer to five decimals.

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Q: 2. Let f(x) = 1 for rational x and f(x) = 0 for irrational x. Show that if F is increasing and…

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Q: Solve the boundary-value problem y" – 12y' + 36y = 0, y(0) = 2, y(1) = 0. y(x) = help (formulas)…

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Q: How large should we take for ['s n is accurate to within 0.06? in order to guarantee that the…

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Q: Verify that the vector X is a solution of the given homogeneous system. -1 x-(-; X'= 1 -1 x - (-²)…

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Q: (b) X g'(x) g'(x) Complete the table. If a value does not exist, write "DNE". 3 4 8 1

A: Given thatWe have to find the value of .

Q: Which of the following transformations are linear? Select all of the linear transformations. There…

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Q: Compute the surface area of the portion of the ed at the origin) that lies above the plane = 1.

A: We have to find the surface area.

Q: Find the volume of the solid obtained by rotating the region bounded by y = x, the line x = 4 and…

A: We have to find the volume of the solid obtained by rotating the region bounded by  the line  and…

Q: 11 Tw 11 | 00 1 N + сло 1.

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Q: SOLVESTEP BY STEP DON'T USE CHATGPT Prove that the following vector is conservative f(x, y) = (exy +…

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Q: 1. Solve ut = 9ue sin 3x for 0<x<, with u(0, t) = u(x, t) = 0 and the initial conditions u(x, 0) =…

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Q: V = Span For W = Span ({]-[]}) ({}) and x = find Projw (x).

A: The inner product of two vectors  and  is the dot product of  and . We write the innerproduct of…

Q: It is relevant in number theory to understand the group structure of Z. In this problem we will work…

A: The group structure given is Zn∗. This is the multiplicative group of integers modulo n.Its elements…

Q: Integrate f over the given curve. *xy)-y-₁0x52 C:y= X f(x,y) ff(x,y)ds:

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find the inverse Laplace transform f(t) = ¹ {F(s)} of the function F(s): = 120 85 50 | 5

A: We need to find the inverse Laplace transform of the function .We know that, if , then .We know that…

Q: the formula P= 14.7e^-0.21x gives the average atmospheric pressure P, in pounds per square inch, at…

A: Average atmospheric pressure

Q: Prove that 2 is not a primitive root modulo 31.

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Q: True/False: If A is diagonalizable, then so is AT.

A: A matrix is said to be diagonalizable if a matrix of n×n elements has n linear independent eigen…

Q: Use Stokes' theorem to evaluate // V x 7.1 ds where 7 = (9y²z, 3xz, 6x²y²) and S is the paraboloid z…

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Q: 1. Find the Taylor series for sinh(2) (ex - e-x) (² at 0 and explain why the series converges to…

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Q: Consider the following proposed​ plan:   Quarter Demand ​(hours) Workforce Hires Layoffs Overtime…

A: As per the question we have to calculate the total cost for a workforce plan based on quarterly…

Q: 4uxx 0 0 u(0, t) = u(5, t) = 0; t> 0 0≤x≤ 4 0, (x,0) = {5-x, 4 ≤ x ≤ 5 u(x,0) = 0; ди at

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Q: Compute the following coefficients of the Fourier series for the 27-periodic function f(t) = 5…

A: Consider the provided question,we have to find the values of,

Q: V = Span ({[]. []}). ENG 'ind an orthonormal basis of R³ that contains the vector 2 2

A: Given             Let assume that the orthogonal  basis is   from Gram-Schmidt orthogonalization…