What is the value of x after each of these statements is encountered in a computer program,  if x =3 before the statement is reached? if (2x +3=5) AND (3x +4=13) then x = x^2 +x+7

Q: You are given a real number N. How should you write it as a sum of two real numbers so that their…

A:

Q: If 3% of the thermometers are rejected because they have readings that are too high and another 3%…

A: Solution:From the given information, the 3% of thermometers are rejected because that is having…

Q: What two positive real numbers whose product is 72 have the smallest possible sum?

A: let two real numbers are a and b then according to question ab=72..........(I) let sum is S then…

Q: A witness to a hit- and -run accident told the police that the license number contained the letters…

A: The question is about counting theory Given : The license no. contains letter "MTS " followed by 3…

Q: If the 10 term of an AP is 21 and the sum of its first ten terms is 120 find its n term

A:

Q: When a positive and a negative number are added, sometimes the sum is positive, sometimes it is…

A: When a positive and a negative number are added, sometimes the sum is positive, sometimes it is…

Q: In 9 - x= 16, how would you come to a conclusion if x can't be considered negative?

A: Consider the given equation

Q: A witness to a hit-and-run accident told the police that the license number contained the letters…

A: Given,all 3 digits are different and it starts with 4and all possible two digits =…

Q: The product of two positive integers is 30, and their sum is 17. What are the integers?

A:

Q: Suppose that nine times a number is added to 63 and the result is positive. What are the possible…

A:

Q: The numbers 1, 2, ... 10 are written in a row. Is it possible to put signs - and + between them so…

A: We know that the sum of all the numbers from 1 to 10 is 55

Q: Two distinct numbers are selected from the set (1,2,3,4,...,36,37) so that the sum of the remaining…

A: Given two distinct numbers are selected from the set 1,2,3,4,…,36,37 and The sum of remaining 35…

Q: Without a calculator, show that 2√3-3 2√6-3√3 √6-√√2 4

A:

Q: The result of adding any real positive number to -10 will never be: (There may be more than one…

A: Given number -10 let a be a positive real number

Q: Suppose that two times a number is added to 8 and the result is positive. What are the possible…

A: Lets assume number =n as per given information    2n+8>0

Q: How many different 11-letter words (real imaginary) can be formed from the letters in the word…

A: We have to find the total number of 11-letter words that can be formed from the letter in the word…

Q: The product of three integers is -3. Determine all of the possible values for the three factors.…

A:

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

A:

Q: The door code to gain access to a super-secret underground lab is 6 digits. The first 3 digits of…

A: There are 6 digits .   Odd digits : 1,3,5,7,9  total 5 possibility   Even digits : 0,2,4,6,8  total…

Q: The product of two positive integers is 112, and their sum is 22. What are the integers?

A: Since, we have been given that the product of integers is 112 and their sum is 22.Let 'x' and 'y'…

Q: True or False The sum of the odd numbers is always an odd number.

A:

Q: For the number 70260.011000 What is the number of significant digits and what are the significant…

A: Number of  Significant digits = 11

Q: More than 65% of the residents of Los Angeles earn less than the average wage for that city. Could…

A: The given statement is “more than 65% of the residents of Lost Angeles earn less than the average…

Q: witness to a hit-and-run accident told the police that the license number contained the letters RQLH…

A: Answer:72 Explanation: First digit=2 No.of digits=10 ie, (0,1,2,3,4,5,6,7,8,9) Now possibilities…

Q: A witness to a hit-and-run accident told the police that the license number contained the letters…

A: Here we have given that the license number contained the letters RLH followed by 3 digits, the first…

Q: For one strain of bacteria, each bacterium divides into two every minute. The table shows the number…

A:

Q: If the difference between two numbers is even, then the numbers are both even. Find a counterexample…

A: Topic = Algebra

Q: If a class of children is separated into groups of 5 children, 2 children will be left over. If the…

A: Let the number of children in the class is N. 1. It is given that when the children are seperated…

Q: What is the smallest number that can be represented as the sum of four positive squares (not…

A: Consider the given statement. Since we need to find a number, which is the smallest number of sum of…

Q: Is there a positive real number “closest” to 0?

A: Suppose there is a positive real number closest to 0. Let it be a. Now the distance from 0 to a is…

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

A: In this case, the number of ways to fill 1st digit is 9 except the digit 5.

Q: In a basic solution to an LP, all variables must take nonnegative values. True or False?

A: Given the statement  In a basic solution to an LP, all variables must take nonnegative values?

Q: How can I explain using (x0+ ε, x0-ε)? Explain why it is true that, if x0 is in (a,b), then there…

A:

Q: Possible products whose factors multiply to −2 are?

A: To find the solutions of XYZ = -2 in integers

Q: A witness to a hit and run accident told the police that the license number contained the letters…

A: number of digits  = (0,1,2,3,4,5,6,7,8,9)  total number of digits = 10 Out of 10 digits we know the…

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

A:

Q: If X-Bin (100,0.2), then

A: GivenX~Binomial(100,0.2)

Q: witness to a hit-and-run accident told the police that the license number contained the letters RLH…

A:

Q: How many even three digits numbers can be found from the digits 3,2,5,6 and 9 if each digits can be…

A: Given, s={3,2,5,6,9}

Q: What two positive real numbers whose product is 19 have the smallest possible​ sum?

A:

Q: Suppose only 10 people knows about arumor and the number of those who would know doubles every day.…

A: Only 10 people know about the rumour initially, and who would know doubles every day. We need to…

Q: The number with 2021 digits is given.if we take any two consecutive digits without changing the…

A: All possible two digits which are multiples of 17 and 23 are:  17 23 34 46 51 68 69…

Q: The digits 1,2,3,4 and 5 are to used to form a five-digit number. How many different numbers can be…

A: Given data: Digits  to use = 1,2,3,4 and 5 to form five digit number  To find: The number must be…

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: In justifying that 5- (-2) = 7, we could add a 0 to the 5 and replace it with: O 2-2 O -2-(-2). O…

A: In justifying that, 5 - (-2) = 7, we could add a 0 to the 5 and replace it with,

Q: If the sum of the digits is divisible by 2, then the number is divisible by 2. true or false

A: If the sum of the digits is divisible by 2, then the number is divisible by 2.

Q: John knows that multiplying a number by — 1 merely changes the sign ofthe number. He reasons that…

A: Consider a number "x". If we multiplying a number by -1 then it becomes  ⇒-1x⇒-x

Q: This hypothesis always contains the statement of equality.

A: Solution : Given statement : This hypothesis always contains the statement of equality. There are…

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

A: Add Ax^6 to both sides.

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.