The following table gives information on the amount (in dollars) Of the electric bills for a samle of 40 families Electric bill Number of families 2 12-16 | 16-20 8 4-8 8-12 11 20-24 14 5 e)Find the modal class.

Q: The number of fully formed apples on 100 plants were counted with following results: Plants had…

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Q: Find out how many distinguishable permutations are in the following words. Population

A: The given word is "population"

Q: 24. Which is the recursive definition of the set of positive integers that are multiples of 4? * aj…

A: We have to find the correct option which represents the set of positive integers that are multiples…

Q: Consider the letters A, B, C, D, E, F, and G. give the number of different arrangements or…

A: Here given that 7 different latter    Now the 1 latter can be arrange any of 7 letters  Choice of 1…

Q: In how ways can the letters of the word 'ORANGE' be arranged so that the consonants occupy only the…

A:

Q: How many distinct scrambles (re-arrangements of the letters) of the word moximum. are there?

A: See the detailed solution below.

Q: Q// Let m = 5, 1- Write the Addition table (Cayley's Table). 2- Write the congruence classes of…

A: For m=5 , our set is Z5 .

Q: How many permutations of the letters A, B, C, D, E, F, G are there in which the three letters ABC…

A: Given letters are : A, B, C, D, E, F, G. and it is given that three letters A, B and C appears…

Q: Let P(n) be the assertion that: for any integer n 2 1, 7" - 1 is divisible by 6. Part 1 Part 2. In…

A: Principle of Mathematical Induction :Let P(n) be a statement .step 1 : For n=1 is true .step 2 : Let…

Q: How many different six-digit codes can be formed using digits 0 through 9? What counting technique…

A: Given set of digits A= {0,1,2,3,4,5,6,7,8,9} Total number of digits = 10 we have to find six- digit…

Q: 2. Find the number of distinct permutations that can be formed from all the letters of each word:…

A: The number of distinct permutations of n letters of a word where the letters n1, n2 , ... , nk are…

Q: Identify the notation used for each of the following concepts. a. k factorial b. The number of…

A: a. k factorial is denoted as k!

Q: 4) Apply induction to show that 9' +9* 9(9" – 81) ,n 2 3. .+9" = 8.

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Q: How many distinct permutations can be formed using the letters of the word "CHARACTER"? There are…

A: We want to find number of distinct permutation of word CHARACTER.

Q: The elements of order 4 modulo 29 are O 6 and 12 O 7, 14, and 21 O 12 and 17 O None of the choices

A:

Q: Give the transpose of the permutation [2, 5, 1, 6, 3, 4], and find the number of inversions in both…

A: To find- Give the transpose of the permutation 2, 5, 1, 6, 3, 4, and find the number of inversions…

Q: 1- Write the congruence classes of modulo m. 2- Write the addition table (Cayley’s Table) of m=7. 3-…

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

Q: 4- Give a recursive definition for the set S ={4,7,10,13,16,19,..}.

A: Given, Set S = {4,7,10,13,16,19...}

Q: ash” so that neither the

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Q: Let Zn be the integers mod n under modular addition. a) What is |Z14|? (Remember what |Ss| means…

A:

Q: How many different strings can be made from the letters in ATTRACTION, using all the letters, if all…

A: The given word is ATTRACTION

Q: 6. The set A = (0,1,2,3} under multiplication modulo 4

A:

Q: how many different ways can the letters of the word JOYRIDE be arranged such that all letters are…

A:

Q: A) How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed…

A: Note :- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Consider numbers of the form a = a₁a2a3 . . . an, with n digits, each digit from the set {1, 2, 3,…

A: For n = 15 We have to find  a. How many such numbers are there. b. How many such numbers are there…

Q: What is the upper boundary of the mo

A: Modal class is the class with the highest frequency. Here, the highest frequency is 36. Class…

Q: 1)How many integers between 1000 and 2000 are divisible by at least one of the integers 3, 5 and 7?

A: Introduction: In mathematics, integers are the sum of positive and negative numbers. Integers are…

Q: How many different user ID's can be formed from the letters W, X, Y, Z if no repetition of letters…

A: question:

Q: 1. The school Reach team is attending an invitational tournament, but can only take the top five…

A:

Q: 2. Use induction to prove that 9" – 1 is divisible by 8, if n E N!

A: We need to use induction to prove 9n-1 is divisible by 8 . Now , we use induction hypothesis to…

Q: 4.The set of integers from 1 to 10 that is divisible by 3.

A:

Q: a. In how many different ways can the letters of the word computer be arranged if the letters co…

A:

Q: 2. How many distinct permutations can be formed from all the letters of the word THREE?

A:

Q: 1. Find the number of permutations of the elements in the set 1,3,5,7,9,11. 2. How many different…

A:

Q: Which one of the following recursive definition is to find the Greatest Common Divisor? f(a,b) =. b…

A: This is a problem of Number Theory and Coding.

Q: How many strings of five uppercase English letters are there (a) that start or end with the letters…

A: a) Given that starts and ends with letter BO i.e if started with BO then next 3 Letters can be…

Q: the residue classes modulo 3 in Z + are: {1, 4, 7, 10, . . . } {2, 5, 8, 11, . . . } {3, 6, 9,…

A:

Q: 52. The number of fully formed apples on 100 plants were counted with following results: 2 Plants…

A:

Q: Let A denote the set of all 4 digit numbers that are divisible by 3, and B denote the set of all 4…

A: Given, A denotes the set of all 4 digit numbers that are divisible by 3 B denote the set of all 4…

Q: (a) How many permutations of (10] are there that EITHER alternate even and odd numbers or have even…

A: Let consider the permutations of 10 as the ordering of  the elements of 10 rather than as an…

Q: е. In how many distinct ways a strings “aaaabbbcc" can be ordered? f. In how many different ways you…

A: As per the answering guideline, we shall solve first question only. Please repost by mentioning…

Q: For this question, no explanation is required. How many strings of ix uppercase English letters (A…

A:

Q: Show that                                n                    n                     (            )…

A: To interpret (hence prove) the given equality of the two binomial coefficients, using set theory

Q: (a) Let n be a positive integer. Prove that n is congruent to the sum of its digits modulo 9. Hint:…

A: (a) First we will prove that 9(10m-1) for every m∈ℕ : Since, 10≡1mod 9 , we can write this as  910-1…

Q: How many possible unique deck orders can w • 1, 2, 3, 4, 5, 6, 7 to • 2, 6, 1, 7, 4, 3, 5 O 3 O 9 10…

A: Given numbers: 1, 2, 3, 4, 5, 6, 7.

Q: How many permutations of the 26 letters (English alphabet) do not contain any of the strings zero,…

A: Total number of permutations of 26 letters  (N) = 26! Number of permutations in which ZERO always…

Q: The following is a list of converse statement of modular arithmetic. Determine if any of the…

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

Q: How many different orders are possible in Z*92639 (Hint: 91639 is a prime; 91638=2 . 27 . 1697).…

A: as 92639 is a prime number so Z*92639 is cyclic group of order 92638.