9. Show that 1729 is a Carmichael number.

Q: 3. How many 4-digit positive integers are there that are even or contain no O's?

A:

Q: 3. If today is Thursday, what day is it 500 days from now?

A: Given that today is Thursday. Now, we have to find the day which will fall 500 days from now. Divide…

Q: . Show that 1729 is a Carmichael number.

A:

Q: In the field Zu, what is 11: 4

A: Given the field ℤ11 and calculate the value of 74.

Q: 2show that O (ir Yational numbers iihot hegigitale

A:

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the that they both…

A: Given: P(Dog) = 0.54 The probability that they both own a dog can be calculated as: P(Both own a…

Q: 1. Show that subtraction is not associative for the set of integers.

A: Definition :Let "." be a binary operation and A is a setThen "." is said to be associative for A if…

Q: 1. Use a direct proof to show that "If n is an odd number, then n' is an odd number."

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Compute C7,2. (Enter an exact number.)

A: A combination is a selection of all or part of a set of objects, without follow any order in which…

Q: 17. It assumes an infinite number of possible values including the decimal between two counting…

A: #17 Here we have given the multiple choice question about the random variable. There 2 types of…

Q: Suppose that 43% of people own dogs. If you pick two people at random, what is the both own a dog?…

A: Given, Probabily of a person own a dog is 43 %

Q: of the first 150 positive integers?

A:

Q: Compute C7,5. (Enter an exact number.)

A: We know that Combination formula: Cn,r = C(n,r) = nCr = n!/(n-r)!r!

Q: are integers and piae priinn number aud if pajusas oton noddng Suppose asg, then Show that pla, for…

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Q: a) How many 3-digit positive integers are there with odd digits?

A:

Q: Evaluate: Le*Cosh21}

A:

Q: 1. How many positive integers of 5-digit-number can be formed from the prime numbers starting at 1…

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

Q: Prove that a three-digit number is a multiple of 9 whenever the sum of the digits is a multiple of…

A:

Q: The prime number 8191 is a None Mersenne prime number Carmichael number Inverse of 7 modulo 11

A: Given that The prime number 8191 is

Q: Give two reasons why the set of odd integers under addition is not agroup.

A:

Q: If y = enx, for any natural number n, what is dxn n"e* n! enx O Option 3 Option 2 n"enx n! e* O…

A: Given:     y = enx

Q: Show that √17 is Irrational number

A:

Q: 23. Find de V100- tan O coton 2 Opbon 1

A: We have the given integral as ∫dx100-9x2 On solving the given integral furthermore, we get the…

Q: 1. Show that 2465 is a Carmichael number.

A:

Q: if 2= とonと final dž Point C,1) In

A: Note: We will answer the first question since the exact one is not specified. Please submit a new…

Q: 7. Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?

A:

Q: Show that for any nez, n is erther odd or even

A: Suppose P(n) is a given statement, then P(n) is true for all positive integer if: P(1) is true. If…

Q: Compute P5,2. (Enter an exact number.)

A: Obtain the value of P5,2.  The value of P5,2 is obtained below:   Permutation: A permutation is an…

Q: 1.15 0.23 =?

A:

Q: Find oll integers Such thot 24! x =1 Cmod 2) 5x = 3. (mod 8) and 1500 < X <2000

A:

Q: : a number is even  if

A:

Q: Prove in a thoroughly written proof that for all integers a  and m, if a and m are the lengths of…

A: Recall the following. Pythagoras theorem: For any right triangle, the square of the hypotenuse is…

Q: Suppose that there are 27 students in discrete mathematics class. Show that the class must have at…

A: Here we solve this question by contradiction.

Q: A person rolls a standard six-sided die, where the roll could be any number in the set (1, 2, 3, 4,…

A:

Q: Prove that the number in between twin primes is always a multiple of 6.

A: A Twin prime are those numbers which are prime and having a difference of two ( 2 ) between the two…

Q: Show that 1729 is a Carmichael number.

A:

Q: A1. How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed…

A: Since you've asked multiple parts questions, as per our answering guidelines we are supposed to…

Q: Prove, that (nezond n73) If x"=5,+hen x is not a rational number.

A:

Q: 1. Show that 1105 is a Carmichael number.

A:

Q: 5+ 26.) In (5- x) – In (5 + x) = -In 9

A:

Q: Rprove that for ony natural number n, 2+4+ --

A:

Q: Show that 2821 is a Carmichael number.

A:

Q: 13. Jan has a 12-oL in the milkshal chocolate. Wh: that represent that is vanilla?

A: Fractions can be expressed in decimals too.

Q: Let x and y be positive integers. When is x + y3 a prime number? When is x+y a composite number?…

A:

Q: 3 The value of %3D O In(729) O In(18) O In(6) O In(216)

A:

Q: Give 5 early mathematicians and their works which they contributed in the development of the study…

A: Topic- geometry

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.