Difference of two distinct odd prime numbers is even and composite Select one: O True O False

Q: Sum of two different prime number is a Prime number None of the mentioned o Either Prime or…

A: Given, Sum of two different prime number is a ______

Q: Let p>5 be the prime number. Prove that the expression p4-10p2+9 is divisible by 1920.

A: Let, p>5 be the prime number. Prove that the expression p4-10p2+9 is divisible by 1920.

Q: Find the prime factorization of the composite number. 1162 14x 83 23 x 83 O 72 x 83 O 2 x 7 x 83

A:

Q: 2. Select any two-digit number. Multiply it by 9. Then add the digits. Keep adding the digits in the…

A:

Q: 2) x" = (Power RUle, n any nonzero integer)

A:

Q: DOference of twin primes is not divisible by 2. :Select one True False

A: We Know that Two prime numbers are called twin primes if there is present only one composite number…

Q: 5(9058) – (59)(638) )- (59)2) (V5( • ) - (638)2 929 5 91734 7648 51,626 Enter an exact number. II II

A: In the first block the answer would be 1164

Q: Difference of two distinct prime numbers is? Ngne of the mentioned Odd and prime ADl of the…

A:

Q: The number of factors of prime numbers are Depends on the prime number None of the mentioned (3 2

A: Given query to find number of factors of a prime number.

Q: Q1: Choose the prime numbers from among the numbers 231 233 237 239 Other:

A: 2312+3+1=6  and 6  is divisible  b  3  so  231  is also divisibleby  3.So  321  is  not  a prime…

Q: Fermat's theorem is not true for composite number. Select one: O True O False

A: Ans :  true

Q: Difference of two distinct prime numbers is? All of the mentioned Eyen and composite Odd and prime…

A: Every prime member except 2 is an odd number.  So every prime number except 2 can be expressed into…

Q: Use permutations to solve. From a cooler with 6 different kinds of soda, 4 are selected for 4…

A: nPr = n!/(n-r)!

Q: The operation subtraction on the set of natural numbers N.

A:

Q: 496=2ª×31 is perfect number. Select one: O True O False

A: Given: 496=24×31 is perfect number we know that 496 can be written as 2×2×2×2×31 so, given statement…

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

A:

Q: Find all prime numbers between 130 and 230.  Show using the Seive of Eratosthenes.  Show table.

A: Let us make a grid that has numbers from 130 to 230 130 131 132 133 134 135 136 137 138 139 140…

Q: Find the sum of all positive odd integers from 1 to 1239: 1+3+5+7+...+ 1239.

A:

Q: 3. Let n be an integer greater than 2. Explain why n! +2, n! +3, n! +4, n! + (n – 1), n! +n are all…

A: We have to explain that n!+2, n!+3,…,n!+n-1,n!+n are all composite numbers.

Q: The natural numbers are N= {1,2,3,..}. The prime numbers are P = {2,3,5,7...}. True or false? PCN…

A: Prime no. Is no. Division by 1 and itself.   Natural no. Is all positive no. From…

Q: Find the prime factorization of the number. 32,625 O A. 3°.52.29 O B. 3*- 29 OC. 5- 29 O D. 3?.53.29

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Q: 7 relatively prime uct and quotient of a

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Q: Sum of twin primes is divisible by 2. Select one: O True O False

A:

Q: The integers 77 and 105 are relatively prime. صواب İhi

A: By finding the factors of given numbers you can find the solution :

Q: Fermat's theorem is not true for some prime number. Select one: O True O False

A: Fermat's theorem states that if p is a odd prime number, then for any integer a, the number ap − a…

Q: Show complete solution.  1. Twin primes are primes differing only 2. Find the twin primes if their…

A:

Q: True or False All prime numbers are even.

A: Given statement is  "All prime numbers are even".

Q: noosing a positive integer from 100 to 999, what is the poSSibility of choosing a positive integer…

A:

Q: Find an integer between 100 and 150 divisible by 9.   How do i figure this out, I am completely…

A: A number is divisible by 9 if the sum of the digits is divisible by 9.

Q: Which of these is part of the prime factorization of 630?

A:

Q: Q1: Choose the prime numbers * from among the numbers 231 233 237 239 Other:

A:

Q: Find the prime factorization of the composite number. 252 O 22 x 32 x 7 24 x 7 34 x 7 23 x 32 x 7

A: Concept: ⇒Divide the number with the smallest prime number which gives remainder 0. ⇒After dividing…

Q: A taxi company has 10 taxis. Part A On a certain day, only seven taxi drivers show up for work. How…

A: Solution: It is given that the taxi company has 10 taxis.

Q: In the Sieve of Eratosthenes for numbers less than 100, explain why, after crossing out al the…

A: Given In the sieve of Eratosthenes for the numbers less than 100 , Explain why, After crossing out…

Q: 2. For which odd primes p is 11 a

A: If p is a prime, then by Fermat's Little Theorem

Q: Let p>5 be the prime number.Prove that the expression p4-10p2+9 is divisible by 1920.

A: Given: Let p>5 be the prime number

Q: 8n? a prime number for every n = 1, 2, 3, . ...

A:

Q: Sum of two different prime number is a Prime number Compositenumber None of the mentioned Either…

A: Ans : Either prime or composite Last option is true

Q: Find all prime numbers pand of for which 2p²q + 45 pp ² = y² 2 де

A: Given:

Q: Find the prime factorization of 40. Use exponents to show any repeated prime factors. ..... 40 =

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Q: numbers many relatively How 오n 1 539 are Prime to 5402

A:

Q: bers Euclid (born approx. 300 BCE) discovered that the first four perfect numbers are generated by…

A: As per our guidelines we are supposed to answer only first three subparts of the question. For the…

Q: All prime numbers are odd Select one: Tru

A: Prime numbers are numbers which is  divisible only  by itself and 1.

Q: Find all values of primes p for which (¹¹) = 1 Р

A:

Q: How to find 27th prime number  using Formula's

A:

Q: Discrete Mathematics: Prove that every prime number greater than 3 is either one or more or one less…

A: We need to prove that any prime number which is greater than 3 is either 1 more than or 1 less than…

Q: 27-8^n a prime? Why?

A: answer is in next step

Q: 4. Find them if: (a) lcm of two consecutive positive integers is 812; (b) lcm of twin primes is 899.

A:

Q: The number of factors of prime numbers are Depends on the prime number 3 0 2 0 None of the mentioned…

A: The number of factors of a prime number is 1 and prime itself. So there are 2 factors of prime…

Q: What is the best name for this number?V80 * O Rational O Irrational O Whole O Integer O Natural Are…

A: The given number is, Thus, we can see that, √80 is the product of an integer 4 and a irrational…

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.