Which of the following four numbers are consecutive integers? O 6, 7, 8, 10 O 6, 5, 8, 9 O 6, 7, 8, 11 O 6, 7, 8, 4 0 6, 7, 8, 9

Q: how many integers from 1 to 1000 are multiples of 3 or 5 (or both)

A: We want to find number of integer from 1 to 1000 are multiples of 3 or 5 (or both)

Q: In how many ways can 2 letters be chosen from the set (A, B, C, D, E, F} if order is important and…

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Q: Which of these numbers is an integer, but not a whole number? O-9 01 O V5

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Q: nd a sixth integer between 1 and

A: a)  A player in the power ball lottery picks five different between 1 and 69  ways to choose first…

Q: 2. How many numbers between 500 and 2000 can be me made using the digits 1,3,5,7,9 without repeating…

A: Digits: 1, 3, 5, 7, 9Between 500 and 999:without repetition:The first digit can be 5, 7, 9.The…

Q: In a leap year there are 29 days in February instead of 28 days. That means there are 366 days in a…

A: Given in a Leap year there are 29 days in February instead of 28 days and the total days in a leap…

Q: 1. What integer best represents the net loss in yards if a football team lost 3 yards on each of…

A: Calculate the net loss in yards. This is the integer that best represents the net loss .

Q: 26) Find the mean of the integers -3, -8, 12, -15, 9 *

A: 26) Mean: The mean of a data set is defined as the average of all the terms in the given set.…

Q: 21. Identical vacation cottages, equally spaced along a street, are numbered consecutively beginning…

A: Let's find.

Q: - Determine which of the following two numbers is larger, and explain your reasoning: a. 1,000,000 ×…

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Q: 11. Explain why each of the following is NOT a gro (a) The integers with multiplication. (b) The set…

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Q: If n is an integer and n 2 1, then the expression 4" + 4-1.3+42.3+ 4-.3+4".3++4 3+ 3 is equal to

A: (c) is correct We have to find the value of 4n+4n-1·3+4n-2·3+4n-3·3+4n-4·3+⋯+4·3+3

Q: What is an integer between 2.3 and 3.3

A: We have to find an integer which is greater than 2.3 and less than 3.3

Q: • Suppose repetitions are not permitted. (a) Find the number of three-digit numbers that can be…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: Which of the following is a integer number? O 6.55 • 0.753249... None of these V4

A: Integer is a number that does not have a decimal point value to it. The first option is 6.55 which…

Q: 32. Find the sum of the integers between 301 and 400 inclusive that are multiples of 4. A. 8400 B.…

A: Here we use Arithmetic progression

Q: 12. How many positive integers less than 1000 are divisible by either 13 or 17? a) 134 b) 130 c) 76…

A: First check the divisibility for 13 then 17 then common in both.

Q: Use inductive reasonig to predict the next number in each of the following list. a. 5, 10, 15, 20,…

A: part(a) 5, 10, 15, 20, 25 ? solution definition of inductive reasoning inductive reasoning is the…

Q: How many 3-digit numbers can be formed from the digits 2, 3, 4, 6, 7 without repetitions? b. How…

A: The 3-digit numbers that can be formed from the digits 2, 3, 4, 6, 7 without repetitions are: 234,…

Q: Hi there! One more question: Which of the following digits might prime numbers greater than 10 have…

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Q: How many combinations of 7 items from a total of 10 items would there be? 10! 3! 10! 3!7! 7! 3!10!…

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Q: Which of the following is a whole number but not a counting number >a. -1b. ½c. 0d. 1

A: we have to tell which of the following is a whole number but not a counting number . a. -1b. ½c. 0d.…

Q: For how many n ∈ {1, 2, 3, …, 1000} is n a multiple of one or more of 5, 6, or 7?

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Q: Which of these gives the prime numbers between 0 and 7? (A) 0,1,2,3,4,5,6,7 (B) 1,2,3,4,5,6…

A: A number is called prime number if it is divisible only by 1 and itself.  Note- 1 is not a prime…

Q: Illustrate each of the given subtractions with a number-line diagram. Remember to put the heads of…

A: This question is related to number line.

Q: are playing the Integer o Ryan's Hand 5, - 4, 8, - 7 -4 8.

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Q: 1. The mean of 7 integers is 14. In ascending order, the integers are 9, 10, a, 13, b, 16, 21. Find…

A: Solution-; Given data xi: 9, 10, a, 13, b, 16, 21 Given: Mean=14,n=7 We want to find the values of a…

Q: Isit true that n? + 1 € N(n)?

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Q: In a survey of 3315 adults aged 57 through 85 years, it was found that 82.4% of them used at least…

A: We have given that  n=3315  p=at least one prescription medication=82.4%

Q: 18. Which of the following expressions represents the number of ways a committee of 5 be selected…

A: Given,total no.of students=8

Q: 2. Use a number line to visualize the following set: S = {n € R | 5 < n< 10}

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Q: How many positive integers greater than 5 and less than 2020 are divisible by 7? are divisible by…

A: 1) Here , 2020/7 = 288.57 So 288 multiples of 7 are there between 5 to 2020 So , 288 integers are…

Q: Yann writes down the first n consecutive positive integers, 1, 2, 3, 4, . . . , n − 1, n. He removes…

A: It is given that Yann writes down the first n consecutive positive integers, 1, 2, 3, 4, . . . , n −…

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: Find the number of different 7-digit numbers which can be formed from the seven digits 4, 4, 7, 9,…

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Q: (b) Give two different interpretations of the bino- mial coefficient (") for non-negative integers n…

A: First we will give two different interpretations of the binomial coefficient nk for non-negative…

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

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Q: For which values of n does n! have n or fewer digits

A: Solution is as follows

Q: Which of the following is an Integer ?

A: Given,           Ingeger number.

Q: 3.50. How many three-digit numbers are there with different digits and at the same time: (a) odd b)…

A: Given problem Given that   How many three-digit numbers are there with different digits and at the…

Q: Which of the following is the sum of all four-digit numbers that can be formed by the digits 1, 3,…

A: The given digits are 1,3,5,7,9 We know sum of r digits number = n-1Pr-1 Sum of all n digits number…

Q: Find the missing number n in each item. Write your answers on a separate sheet of paper. 6 3n 3 5…

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Q: From the list 0, √2, 3/4, -5/6, 25/3 , -√3, -8, 0.34, 0.2 ̅3, 67, and 9/7 , identify each of the…

A: Given, 0,2,34,-56,253,-3,-8,0.34,0.23,67,97

Q: 6. Determine which of these integers are prime. a) 7· 17 b) 1· 19 c) 109 d) 153 e) 187

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Q: List the integer of the elements of B = {7, V7, –20, 0, –, 1.5, /16 8 55

A: Solution set has four elements as per the given condition Explanation is given below

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.