Are 51 prime : No it is not prime Yes is prime because it can't be divided by 2, 3, 5, 7, 11, 13, 17, 19, 23, Yes is prime because it can't be divided by 2, 3, 5, 7 No it is not prime because it can be divided by 751

Q: How many different three-digit numbers can be formed using the digits 3,4,8,5,7,1, and 6 without…

A: Given problem:- How many different three-digit numbers can be formed using the digits 3,4,8,5,7,1,…

Q: How many 8-digit numbers can be formed using the following digi without repetition: 1, 2, 3, 4, 5,…

A: Total digits = 1, 2, 3, 4,5,6,7, 8 = 8Number of options for the first digit = 8 Number of options…

Q: Produce the least positive number that is divisible by​ 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, and 11.…

A: Given Produce the least positive number that is divisible 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, 11.…

Q: 8. Given 1, 2, 3, 4, 5, 6, 7, 0, 9, how many 4-digit numbers can be formed if it must be divisible…

A: We have to solve question number 8

Q: Postcodes in a country begin with either 1, 2, 3, 4, 5, 6, 7 or 8 followed by 2 more digits. How…

A: Postcode can start with either 1,2,3,4,5,6,7,or 8 Therefore there are 8 choices for the postcode to…

Q: 5 numbers are to be chosen from {0,1,2,3,4,5,6,7,8,9}. Answer the following questions: 1. How many…

A: Five numbers can be chosen from the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Q: How many different 9-digit phone numbers do not contain the digit 9? Assume that any digit in the…

A: Given data÷ How many different 9-digit phone numbers do not contain the digit 9. Assume that any…

Q: Determine the number of integers between 1 and 10000 that are not divisible by 6, but are divisible…

A: Given, the number of integers between 1 and 10000 To find the integers between 1 and 10000 that are…

Q: Assume that 8 women and 6 men work in a department at a large company.   Four committee members are…

A: Given,no.of women=8no.of men=6Total no.of peoples=14

Q: How many 7-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6, and 7

A: The first digit of the 7-digit numbers can be any number from 1 to 7 (. Hence, the first digit can…

Q: Find the Prime Factorization of 648, 1056, and 1496. Provide at least one divisibility test for each…

A:

Q: Determine if the following is True or False. Support your answer using the appropriate divisibility…

A:

Q: A fraction is said to be “irreducible” if the numerator and denominator are relatively prime, i.e.…

A: Introduction -  Reducible -Reducible fraction is a fraction that has some common factor and can be…

Q: Four members from a 31-person committee are to be selected randomly to serve as chairperson,…

A:

Q: In how many ways can 6 copies of history books, 4 copies of accounting book, and 2 pieces of algebra…

A:

Q: How many different 7-digit phone numbers do not contain the digit 8? Assume that any digit in the…

A: we know that we have 10 digits 0,1,,2,3,,4,5,6,7,8,9 if we do not use digit 8 then we left with9…

Q: Draw a number rod diagram that shows that 15 is divisible by 3 but is not divisible by 4

A: This question can be solved by drawing  a rod diagram.

Q: How many different 8-digit phone numbers do not contain the digit 9? Assume that any digit in the…

A: Please rate and feel free to ask any query about any part of the question.

Q: Four members from a 17-person committee are to be selected randomly to serve as chairperson,…

A: From the provided information, Four members from a 17-person committee are to be selected randomly…

Q: How many different 7-digit phone numbers do not contain the digit 88? Assume that any digit in the…

A: Note: Hi there! Thank you for posting the question. As some information in the question seems to be…

Q: PRODD 2 Determine whether the integer 701 is divisors. Do the same for the integer 1 Sieve of

A: Theorem for prime numbers: A number p is called prime number if there exist a number p0 such that,…

Q: How many different 8-digit phone numbers do not contain the digit 7? Assume that any digit in the…

A:

Q: a) How many five digits number can be form using the integer 2,3,4,5,6,7,8,9 if: i) Repetition is…

A: As per the honor code, We’ll answer the first question since the exact one wasn’t specified.…

Q: How many 4 digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if repetition of digit…

A: (1) We have 6 digits and 4-digit number is to be formed. We need to choose 4 digits randomly and…

Q: 3. Two-digit numbers are formed, with replacement, from the digits 0-9. a. How many two-digit…

A: Answer - Two -digit number are formed , with replacement, from the digits 0-9.

Q: How many integers are greater than 120, less than 540 and are divisible by 5 and 3? 26 28 None of…

A:

Q: A test for checking computations is called casting out nines. Consider the sum 612+301 + 500 = 1473…

A: Consider the test of casting out nines and the given sum. 398+476+182 The objective of the problem…

Q: 215 = 32, 768. How many numbers between 0 and 215 are the sum of exactly three powers of 8? Each…

A:

Q: termine if 345 is divisible by 5, 6,

A: Introduction: 5 times divisible Numbers with a one-place digit of 0 or 5. 6 times divisible. A…

Q: Let S = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Suppose six integers are chosen from S. Must there be two…

A: Consider the following given set:S = {3,4,5,6,7,8,9,10,11,12}Suppose six integers are chosen from…

Q: In how many different ways can you arrange 3 chemistry books, 5 physies books, and 5 biology books…

A: (1) We have to arrange 3 chemistry books, 5 physics books, and 5 biology books on a shelf. The books…

Q: Describe the divisibility test for 9 (the test by which we can quickly and easily tell whether a…

A: Divisibility test of 9 -  If the sum of digits of a number is divisible by 9 then the number is also…

Q: 3. Use divisibility tests to decide whether the given number is divisible by 2, 3, 4, 5, 6, 8, 9,…

A:

Q: How many 5 digit numbers can be written with the digits {1, 2, 3, 4, 5, 6, 7, 8} if they must be…

A: 8 digits are given out of which 5 digits are to be selected with the condition that no digit should…

Q: 3. How many 4- digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7 it: a) no…

A: Given many 4-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7

Q: If A is the set of all whole numbers less than 19 that are divisible by, 4, and B is the set of all…

A:

Q: a- The first ten multiples of 3 are : ---- ----- b- The first ten multiples of 6 are : c- The first…

A: We are solving the first three subparts and for the next subparts post the question again and…

Q: A four-digit number is to be formed from the digits 0, 1, 2, 3, 5, 7, 8, and 9. How many four-digit…

A:

Q: ow many ways can you arrange 9 keys on a key ring without a clasp

A: A permutation is an arrangement of all or part of a set of objects, with regard to the order of the…

Q: How many positive integers less than 2ˆ{20} are not divisible by 7, 11 or 13. Use…

A: The solution is given below

Q: 8. Use divisibility tests to decide whether the given number is divisible by 2, 3, 4, 5, 6, 8, 9,…

A: Please  comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: There are 9 books on a book shelf. In how many ways can you arrange the books on your shelf? Note:…

A: There are 9 books on a books shelf. That is, n=9

Q: How many ways can one select a subset of 10 elements from {1, 2, 3, . . . , 1000} so that the…

A: We use the following summation: Crn+Cr-1=Crn+1nCmm+Cmm+!+Cmm+2+...+Cmn=…

Q: How many ways can 7 people be seated around a circular table? Group of answer choices 7!77!7 More…

A: The formula for n! is n!=n·(n-1)·(n-2)·⋯·2·1 . The formula for n-1! is (n-1)!=n!n=(n-1)·(n-2)·⋯·2·1.…

Q: How many five-digit numbers are there composed of different digits belonging to the set…

A: Givenset is {0,1,2,3,4}

Q: ivalent if the fractions that represent them are the same O False

A:

Q: the addition principle to determine how many integers in the list: 1,2,4•••,9999

A: Given :  list: 1,2,4•••,9999   Total Integers  = First digit - Last digit + 1   Total Number of 1…

Q: 5 numbers are to be chosen from {0,1,2,3,4,5,6,7,8,9}{0,1,2,3,4,5,6,7,8,9}. Answer the following…

A: Given sample 0,1,2,3,4,5,6,7,8,9. (1) Possible ways of choosing 5 numbers. Total…

Q: 1. What is the smallest number that can be exactly divided by 2, 3, 4, 5 and 8? 120 20 12 24 2. What…

A: A detailed solution is given below.

Q: A four-digit number is to be formed from the digits 0, 1, 2, 3, 5, 7, 8, and 9. How many four-digit…

A: The digits are 0, 1, 2, 3, 5, 7, 8, and 9.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.