19. Classify each of the following as true or false: a. If a number is divisible by 6, then it is divisible by 2 and by 3. b. If a number is divisible by 2 and 3, then it is divisible by 6. c. If a number is divisible by 8, then it is divisible by 2 and 4.

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A: It is given that the number of keys in keypad is 6.

Q: Choose all answers which correctly complete the sentence: The set of all whole numbers with "7"…

A: We can solve this problem as follows:

Q: The zero multiplication property The commutative property of mu The identity property of multiplic…

A:

Q: 2. How many integers between 1 and 500 (inclusive) are a) divisible by 2? b) divisible by 7? c)…

A:

Q: Every Wayne State student has an access id; the 6-character name consisting of 2 letters (a-z)…

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Q: 5. Find a test similar to those in the previous questions for divisibility by 99.

A:

Q: how many positive month numbers are between 50 and 100: a. the one that was divisible by 7? which…

A: Solution a) Total numbers divisible by 7 between 1 to 100 are 1007=14 and total numbers divisible by…

Q: 1. How many numbers between 500 and 2100 are: a. Divisible by 3? b. Divisible by 5? c. Divisible by…

A: We are entitled to solve only 3 subparts of a questions so, I am providing you the same. Kindly…

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A: Introduction: A permutation is a specific arrangement of objects. Set members or elements are…

Q: Every Wayne State student has an access id; the 6-character name consisting of 2 letters (a-z)…

A: a) Calculating the total number of ways: The access id consist 6 character name consisting 2 letters…

Q: Which of the followig is true about the divisibilty test for 8? a. For divisibility by 8, we must…

A: As we know that For 2 we check unit digit     {2=21}For 4  we check last two digit is divisible by 4…

Q: 2. How many integers between 1 and 500 (inclusive) are a) divisible by 2? b) divisible by 7? c)…

A: Note: As per our Guidelines we can solve first three subparts. Please repost remaining parts.

Q: 2. Write the following decimal numbers in expanded form: a. 100,200,300,400 1x100000000000+ b.…

A:

Q: In a certain​ country, area codes have six digits and are subject to the following restrictions. The…

A: Given:In a certain country, area codes have six digits and are subject to the following…

Q: We know: ½ of all integers are divisible by 3 and t of integers are divisible by 7. What fraction of…

A: We need to find fraction that will be divisible by 3,7 or both.

Q: 23 Find the number of permutations of all the letters of the word NOTEPAD if: a) the letters can be…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find the total number of different permutation of the letter of the word VACCINATION(show solution)

A: Note- Since you have posted multiple questions, as per our guidelines we are supposed to answer only…

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A: Given Lock box consist of no.of digits=6Total no.of digits =10                   (i.e.,…

Q: Determine which positive integers ? have a. Exactly 2 positive divisors b. Exactly 4 positive…

A: A positive integer has exactly 2 positive divisors if and only if it is a prime number.