4. The table below shows the weights (kg) of members in a sport club. Calculate mean, median and mode of the distribution. Masses Frequency 40-49 30-m 50-59 12+m 60-69 14 70-79 8+m 80-89 7 90-99 3

Q: Exercise 2. Solve the optimal control problem: Answer: (10 (23 (1)-1(1) 1(1) 0 max -u(t))dt s.t.…

A: Given: The optimal control problem is maxut∫012yt-utdt. The given problem is subjected to…

Q: 2. Find the 90" percentile using interpolation.

A: The 90th percentile group can be calculated as: mN100=90100×70        =63

Q: 8. A parametric curve is defined by TC x(t) = sin² T cos² r dr, y(t) = sint, for < t < 3 Find the…

A: We can find area.

Q: List the eigenvalues of A. The transformation xAx is the composition of a rotation and a scaling.…

A: Let a metrix Anxn.⇒ |A-xI| is the characteristic polynomial of matrix A.&amp; rθo + of A-xI1 = 0 is…

Q: Tell whether the two triangles are always, sometimes, or never similar. a. Two equilateral…

A:

Q: Assuming a,b, y1,y2,y3 are all dimensional vectors, order matric A= (a,y1,y2,y3), B=(…

A:

Q: 21. Which of the following statements is(are) true? (A) y = e³ is a solution of the DE y"+y' - 12y =…

A:

Q: (b). Method of algebra and cite a property used for every step: (X - Z) U (Y – Z) = (X U Y) – Z.

A:

Q: (b) Test if the points A = (5, 2), B = (-3, 3) lie inside, outside or on the circle (x-1)2+(y-5)² =…

A:

Q: - - simplify the following: 3(6-x) + 4(2x − (m — 2))

A: Use the given information.

Q: f ? h = 5 4

A: Pythagoras theorem: In a right angled triangle, the square of hypotenuse is equal to the sum of…

Q: 1. How to know which statistical test to use for hypothesis testing? Explain.

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

Q: (c) Using matrices, find the images of the points (1,7), (-4,5) and (8,2) under a translation of +6…

A: Write the matrix as x and y coordinate. Then proceed  xy = 1-48752

Q: 6 -2 Use Gauss-Jordan Method to find the inverse of -4 1 1 1.

A:

Q: 8 -4 -2 1 the c baractter

A:

Q: 3. Let U= {x: xEZ, 0≤x< 15} A = { x: x E N and (x − (m + 3)(x − (m + 2) = 0}, B = {8,6,7,9} and a.…

A:

Q: QUESTION 7 1 Let A = 7 and B 5 8 . Find (AB). 6 -5 -7 4 6 - 1 (AB)" 15 - 1 -44 36 (AB)" %3D 65 - 28…

A:

Q: Question 17 (Mapped to IL03) Determine the Fourier Series of π-x,0<x<T 1 |f(x) = { 0 , π < x < 2π,…

A:

Q: In this exercise you will prove Theorem 5.3. So consider triangle AABC. Let PE Int (ZABC) and Q &…

A: Here we have given the triangle △ABC such that P∈Int∠ABC and Q∈Int∠ACB. We need to prove that…

Q: = 3.5 to z = 4. = 4 to z = 4.5.

A: Given that: The function f(x) = - 3 x 3 .

Q: Complete. 1. 3.5 ft = in.

A: 1 foot is equal to 12 inch.       1 ft=12 inch

Q: Q.I Calculate the mean, the median and the mode for the distribution of weig 150 students from the…

A: