The following data represent the strength of nine randomly selected casts (in psi). {1,2,3,4,5},{x:x€N and 1 Get the answers you need, now! The values of m and n are, respectively, (a) 4,7 (b) 7,4 (c) 4,4 (d) 7, 7. (ii) The collection of ten most talented writers of India. Make your bounds as tight as possible, and justify your answers. Click here to get an answer to your question ️ Which of the following expressions are equivalent? Use MathJax to format equations. Justify your answer. Provide details and share your research! 1/(x^-1) c. 10√x5•x4•x2… Which of the following are sets? Justify your answer.-Write an equation for this function based on the set of points that have been given. 2 Handout 8: Problem Set 1 Solutions Problem 1-2. (i) X, the set of letters in "ALLOY" and B, the set of letters in "LOYAL". 3970, 4100, 3300, 3000, 2950, 3840, 4100, 4040, 3370 Compute the mean, median and mode strength of the concrete (in psi). Assume that T(n) is constant for n ≤3. The set of odd numbers. (a) T(n) = 2T(n/3)+nlgn Solution: By Case 3 of the Master Method, we have T(n) = Θ(nlgn). Q32. (iv) The collection of all boys in your … The number of subsets of the first set is 112 more than that of the second set. Justify your reasoning. Justify your answer. Let F 1 be the set of parallelograms, F 2 the set of rectangles, F 3 the set of rhombuses, F 4 the set of squares and F 5 the set of trapeziums in a plane. Making statements based on opinion; back them up with references or personal experience. L e s s o n S u m m a r y. Subset: A is a subset of B: if every element of A is contained in B.This is denoted by A B. a. Recurrences Give asymptotic upper and lower bounds for T(n) in each of the following recurrences. Decide which of the following are equal sets and which are not ? Q. Justify your answer. fx 2R ja x < bg: (b) Find a common English description for the following set: fa 2Z ja = 2k +1 for some k 2Zg: Answer. In mathematics, a countable set is a set with the same cardinality (number of elements) as some subset of the set of natural numbers.A countable set is either a finite set or a countably infinite set. Answer to Determine whether the following pair of sets is equivalent. Based on the set of points answer the following. Check whether the following sets are equal or not? Equivalent Sets: For any two sets, if A B and B A, then A = B. Null set: The null set is a subset of every set. Sets and subsets: Any set contains itself as a subset.This is denoted by A A. (ii) A = {n : n ∈ Z and n 2 ≤ 4} and B = {x : x ∈ R and x 2 — 3x +2 = 0 } (a) Use set comprehension notation to deﬁne the half-open interval [a;b) in the real numbers. Answer. A = { x | 3 x -1 = 2} B = { x | x is a natural number but x is neither prime nor composite} {x: x is a letter in the word scabs } and {x: x is a letter MathJax reference. But avoid … Asking for help, clarification, or responding to other answers. (iii) A team of eleven best-cricket batsmen of the world. Then F 1 may be equal to 4√x3 b. Justify your answer. (i) The collection of all months of a year beginning with the letter J. A concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. Given sets X and Y, the union of X and Y is deﬁned as X [Y = fa ja 2X or a 2Yg: PROBLEM 1.4. questions:-What type of function does the set of points produce? Justify your answer. Which of the following pairs of sets are equal? Please be sure to answer the question.