3. Show that (5+ 13)e + (5- i3)-" is a real number if is also a real number.

Q: Prove that Va - Vb is irrational number if 'a' and 'b’ are prime number?

A: Given To prove that a-b is irrational number if a and b are prime number.

Q: How can I prove that if x is a positive irrational number, then 2x-1 is also irrational

A:

Q: 10. Show that the product of a+bi and b+ai always results in a purely imaginary number, given that a…

A: Given two complex numbers: a+bi and b+ai

Q: show that SZ+5 is irrational number

A: If a number cannot be written in ab form, where a and b are integers is known as an irrational…

Q: Prove that the last two digits of 2" cannot be 02 and the last three digits cannot be 108.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Show that √2 + √3 is irrational.

A:

Q: 14. Demonstrate that 21 has no primitive root.

A: An integer n≥2 has a primitive root if and only if the the number n is one of the following; 2,4,…

Q: 5. Give an example of an addition problem with three addends that would be much easier to solve…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: A natural number greater than 1 that has only itself and 1 as factors is called a/an number.

A: Given that  A natural number greater than 1 that has only itself and 1 as factors is called…

Q: 10) Prove that if 21 = 2, then 2 23. What is mZ1? Explain. 3.

A: The given figure is

Q: 11. CheCK TUr exLi aneU SulutioIs. 35 1+== x2

A: Given rational equation is  1+(2/x)=(35/x^2)

Q: Let ab5c be all four-digit multiples of number 36 with different digits. If someone found 7 numbers…

A: Let ab5c be all four digit multiples number 36 with different digits.   As 36= 4x9, so the number…

Q: of the first 150 positive integers?

A:

Q: An identity thief is trying to break into someone's computer that is protected by a 4-digit passcode…

A:

Q: Is there a real number that is bigger than all integers? If so what is the number and if not what…

A:

Q: Prove that 1+6x-x is always a positive real number if x =3+Ai for some real 33 number 4

A: The given number is  1 + 6x - x2

Q: Prove that 2^10 + 5^12 is a composite number.

A:

Q: 3x = 11 (mod 20)

A:

Q: Can a number N, sum of whose digits is 21345, be a square of a natural number?

A: Given: a number N, sum of digit is 21345

Q: 9. Prove that there are as many positive real numbers as there are real numbers.

A: Consider the set X and Y. Then we said that |X| = |Y| if there exists bijective function from X to…

Q: 11.) The sum of four consecutive even integers is 68. Find the four consecutive even integers. What…

A: We know that an even integer is always divisible by 2. Let the first even integer in the consecutive…

Q: What two nonnegative real numbers with a sum of 23 have thelargest possible product?

A: we have to find the two non negative real number with a sum of 23 which will have largest possible…

Q: 2. Prove that V6 is irrational number.

A:

Q: Show that √17 is Irrational number

A:

Q: Which of these will prove the 10th step and the reason ?

A: Given : To find : The statement 3 and give the reason.

Q: Prove that if the sum of the digits is subtracted from a natural number, then the result is…

A: let us assume the number to be three digit number xyz therefore, xyz=100x+10y+z sum of digits will…

Q: How do i prove 8.10? Could you include step by step explanation?

A: Consider the equation

Q: Show that 3 + V5 is irrational number

A:

Q: 27. Show that if x and y are positive real numbers that have the same first n digits in their…

A:

Q: : a number is even  if

A:

Q: Show that 2 + V5 is irrational number

A: To prove that 2+53 is irrational number. (It is evident that 2 is irrational, but here providing its…

Q: The ISBN-10 of the sixth edition of Elementary Number Theory and Its Applications is 0-321-500Q1-8,…

A: Here, x1=0, x2=3, x3=2, x4=1, x5=5, x6=0, x7=0, x8=Q, x9=1, x10=8

Q: What two positive real numbers whose product is 11 & have the smallest possible​ sum?

A:

Q: What two positive real numbers whose product is 50 have the smallest possible sum?

A:

Q: 20) Show that the sum of two consecutive integers is always odd.

A: Let x be any integer. Then its consecutive integer can be written as x+1.

Q: is there integer that has reminder of 2 when its devided by 5?

A: There are infinite number of integers that has reminder of 2 when its divided by 5

Q: se one) is an integer and x1} is an integer and x21} is an integer and l<x<4}

A: a. The roaster form is given as, 1,2,3,4........ The set-builder form is written as, xx is an…

Q: 4. ( it as linear combination of both numbers. Find the greatest common divisor of the numbers 1520…

A:

Q: Prove that a natural number (an-1an-2a1ao)10 is divisible by 9 if and only if the sum of the digits…

A:

Q: Show that 5 – V7 is an algebraic number.

A:

Q: What is the statement and reason for the 2nd step to prove the 7th step ?

A: Given, ABCD is a parallelogram and LF and LE anre congruent.

Q: The ancient Greek were the first to insist on proofs for Mathematician statement to make sure they…

A: The statement "The ancient Greeks were the first to insist on proofs for mathematical statements to…

Q: Prove that 13,050.046 is not the square of a natural number.

A: Use the fact that an even number is perfect square the number is divisible by 4

Q: Show that, given a 7-digit number, where all digits except perhaps the last is non-zero, you can…

A:

Q: 5. Prove that the sum of a two digit number and its reversal is a multiple of 11.

A:

Q: 1. Prove that 3 is irrational number.

A:

Q: A realtor uses a lock box to store the keys to a house that is for sale. The access code for the…

A:

Q: How do I solve for A in (4-Ax3=7-Ax6)

A: Add Ax^6 to both sides.

Q: i) If you have twenty ones and fifteen zeroes how many ways can we arrange these digits such that no…

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

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.