Write the following sets in Rooster Method and Set Builder Notation. [2 points each] (a) The set of complex number. For rooster just right at least 10 elements. (b) The set of even primes less that or equal 100.
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Write the following sets in Rooster Method and Set Builder Notation. [2
points each]
(a) The set of complex number. For rooster just right at least 10 elements.
(b) The set of even primes less that or equal 100.
Step by step
Solved in 2 steps
- Mailings Review View Help AaBbC AaBbCcD AaBbCcD AaBbCc Aa Heading 1 T Normal 1No Spac. Heading 2 Hea Paragraph Styles 8. Consider the following equation for the sum of a finite arithmetic series: S, = n(a, ta where n is the number of elements in the series, a is the first element of the series, and a, is the last element of the series. Write a method that returns the sum of the elements stored in the array in 8 above. The array must be passed to the method as an argument. Your solution should implement the equation for the sum S.Ways of writing a set For numbers(1-4), write using roster method while rule method for numbers ( 5-6) and set-builder notation for number ( 7-8) 1.A is the set of even numbers greater than 2 but less than 10. ans: 2.B ={ x/ 2x = 6} ans: 3.C is the set of primary colors. ans: 4.D is the set of odd numbers less than 10. ans: 5.(Rule Method) E = { January, February, March,...} ans: 6.(Rule Method) F = { 1,2,3 , ...,100} ans: 7.(Set Builder Notation)G = { a,b,c,d,e,f,g,h,...,z} ans: 8.(Set Builder Notation)H = { 10,20,30,40,50,...} ans: I am very thankful to the expert that can help me :)For each of the following problems, you should write your answer as an expression. Do not give the final numeric value. For example, if your answer is the number of 6-permutations of a set with 10 elements, you should write P(10,6) or 10!/4! or 10 × 9 × 8 × 7 × 6 × 5, but not 151200.
- 1.A) The median of a set of integers is the middle-most integer in size. That is, half the integers in the set are less than or equal to the median, and half the integers are greater than or equal to the median. For example, the median of {99, 1, 10, 6, 2} is 6 since 1 and 2 are smaller than 6 and 10 and 99 are larger than 6. Implement a method median( ) with no parameters that finds and returns the median of the integers in a data array. Use this keyword in meaningfully. Assume that the data array is an instance variable of Data class. Write a parameterized constructor to allocate and assign values to data array. Assume that the array has odd length. Write main () in a separate class constructor to use the Data class.Python Lab: Dr.D has invented yet another invention: the hateinator. He wants to test it on a group of N people (numbered 1 through N). The hateinator may be used any number of times; to use it once, Dr.D should divide these N people into two groups and press the fire button on the hateinator. We call each such grouping a Doofish set. Afterwards, there will be hatred between each two people who were in different groups. The hatred does not disappear ― any two people that hate each other before the hateinator is used still hate each other afterwards. The hateinator uses a lot of power. Let's denote the number of times it is used by K. Then, it consumes K⋅N units of power. Dr.D cannot afford to use the hateinator if this number exceeds 106. Dr.D has done the math and computed the most evil hatred system: a situation with some M pairs of people who hate each other. You are given these pairs. There must not be any other pair of people who hate each other. Initially, there is no hatred…Write set {1, 5, 15, 25} in set-builder form. Select one: a. {x: either x=1 or x=5n, where n is a real number} b. {x: x=5n, where n is an integer} c. {x: either x=1 or x=5n, where n is a positive integer} d. None
- Task 04: A permutation of a set of distinct objects is an ordered arrangement of these objects. An ordered arrangement of r elements of a set is called an r-permutation. Write a method that takes a string and prints all its permutations. hint: For a string "123" the method returns all its possible permutations as given below. 123 132 213 231 312 321Write the following line of code using the proper combined assignment operator. sum = sum + 1: Answer Write the method header for a method that is described in a UML diagram as below. + copyArray(array : double(l) : double Answer:getSumEven Method; public static int getSumEven(int[] array) Returns the sum of even values (if any) present in the array parameter. You can assume array is not null. You may only use one auxiliary function. Your implementation must be recursive and you may not use any loop construct. Do not use ++ or -- in any recursive call argument. It may lead to an infinite recursion. For example, use index + 1, instead of index++. Parameters: array - Returns: Sum of even values
- Python Programming Lab Dr.D has invented yet another invention: the hateinator. He wants to test it on a group of N people (numbered 1 through N). The hateinator may be used any number of times; to use it once, Dr.D should divide these N people into two groups and press the fire button on the hateinator. We call each such grouping a Doofish set. Afterwards, there will be hatred between each two people who were in different groups. The hatred does not disappear ― any two people that hate each other before the hateinator is used still hate each other afterwards. The hateinator uses a lot of power. Let's denote the number of times it is used by K. Then, it consumes K⋅N units of power. Dr.D cannot afford to use the hateinator if this number exceeds 106. Dr.D has done the math and computed the most evil hatred system: a situation with some M pairs of people who hate each other. You are given these pairs. There must not be any other pair of people who hate each other. Initially, there is no…def findOccurrences(s, ch): lst = [] for i in range(0, len(s)): if a==s[i]: lst.append(i) return lst Use the code above instead of enumerate in the code posted below. n=int(input("Number of rounds of Hangman to be played:")) for i in range(0,n): word = input("welcome!") guesses = '' turns = int(input("Enter the number of failed attempts allowed:")) def hangman(word): secrete_word = "-" * len(word) print(" the secrete word " + secrete_word) user_input = input("Guess a letter: ") if user_input in word: occurences = findOccurrences(word, user_input) for index in occurences: secrete_word = secrete_word[:index] + user_input + secrete_word[index + 1:] print(secrete_word) else: user_input = input("Sorry that letter was not found, please try again: ") def findOccurrences(s, ch): return [i for i, letter in enumerate(s) if letter == ch] *** enumerate not discussed in…A binary tree is balanced if every node in the tree is such that the heights of its left and right subtrees do not differ by more than one. Complete the pseudo-code method isBalanced which determines if a binary tree is balanced. The function returns a value of -1 if the tree is not balanced, otherwise it returns the height of the tree. Add comments to explain what your code segment is doing. The following definition of a node in the tree is used. class BinaryNode { int element; BinaryNode left; BinaryNode right; } Complete the method below: int isBalanced (BinaryNode t) { int leftCount=0; int rightCount=0; if (t == null) //empty tree, height is 0 return 0; if ((t.left== null) and (t.right== null) return 0; else { . . . . . . . . . } }