Some 5×5 checkerboards with one square removed can be completely covered by L-shaped trominoes, whereas other 5×5 checkerboards cannot. Find examples of both kinds of checkerboards. Justify your answers.

Q: If a = (3, 2) and  b = (-5, 3), what is a + b ?

A: Given, a= (3,2), b = (-5,3)

Q: Suppose a standard six-sided die is rolled and you receive $4.50 for every dot showing on the top of…

A: In order to make it a fair game , the average winning should be equal to the average cost of the…

Q: A company wants to have a 6 digit phone extension with the first digit not being zero

A: We have to make a 6- digit number. So let's assume we have 6 empty boxes to fill and form the 6-…

Q: This question is broken down into a few parts, so  I took a picture

A:

Q: A pharmaceutical firm wishes to alloc

A: Given, Newspaper Magazine Limitations 1 0 1 0 1 1 500 1000 50,000 50,000 250,000

Q: How many arrangements of the word AWESOME do not have the string ME?

A: In the field of combinatorics, whenever we study the arrangement of objects (like in the problem we…

Q: In a standard deck of 52 cards, what is the smallest number of cards you must draw to guarantee…

A:

Q: supposed you roll a 36 specicial sided die,what is the probaility that the number rolled is a 1 or 2

A:

Q: Determine the number of ways in which the four corners of a squarecan be colored with two colors.

A: Number of corners of square 1, 2, 3, 4 in counterclockwise direction as in picture

Q: Your school locker has a dial with 50 numbers which required 3 numbers to open.  (It is not a…

A: Your school locker has a dial with 50 numbers which required 3 numbers to open. (It is not a…

Q: A baseball team takes a road trip and plays 6 games. In how many ways can they win 4 and lose 2…

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Q: Out of 5 mathematicians and 7 physicists, a committee consisting of 2 mathematicians and 3…

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Q: what is 20% of 5

A: Given number is 5. The Objective is to find the 20% of 5.

Q: chess board 5X5 can be covered with L-shaped trominoes. True or false ?

A: FALSE  the detailed solution is as follows below:

Q: Show how to use the definition of LCM to deter- mine the least common multiple of 44 and 55.

A: Given, Using definition of LCM find LCM of 44 and 55

Q: On the table rest 8 dominoes, as shown below. If you were to line them up in a single row, so that…

A:

Q: Find the intersection of the sets. {1, 2, 3, 4} ∩ {2, 4, 5}

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Q: WHAT IS 60% OF 20?

A:

Q: A club of 10 people wants to choose an executive board consisting of president, secretary,…

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

Q: What is the smallest multiple left out of this cluster of 12, 18,9,3 and 15

A:

Q: .Findthefirst4termsineachsequences a) tn=3(-2)^n-1

A: Find the first four term

Q: Jenniter has 7 shirts and 7 pars of shoes, and each shirt matches a different pair of shoes she…

A: Given: Jennifer has 7 shirts and 7 pairs of shoes and each shirt matches a different pair of shoes.…

Q: Find the number of different ways that a family of 6 can be seated around a circular table with 6…

A:

Q: Find the number of different poker hands that contain exactly 3 kings, while the other remaining 2…

A: Total number of cards is 52. The number of cards for the poker hand is 5.

Q: From 50 attendees of a party, 3 major prizes will be given away. If each attendee can only win once,…

A: Given Data: n=50   number of prizes=3

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: In one of the Florida lotter games, one has to match six numbers out of 49 numbers to win. How many…

A: In order to win the lottery, 6 out of the 49 numbers has to match. So if we calculate the total…

Q: Find the intersection of the sets. {1, 3, 7}∩{2, 3, 8}

A: It is given that, {1, 3, 7}∩{2, 3, 8}. Note that, the intersection contains the elements that the…

Q: triangle has side lengths which are integers. If the two sides are 5 and 11, what is the largest…

A: Given query is to find the largest possible perimeter for the triangle.

Q: help with #3 and possibly #

A: Here we have,

Q: If Snoopy danced a jig, then Charles Schultz did not write a sonata.

A:

Q: If the die above is rolled 120 times, predict the number of times it would land on a multiple of 3.…

A: It is an important part of statistics . It is widely used .

Q: The anime club at Cypress College has 16 members and needs to choose three of them to form a…

A: we have to find now of possible  committee.

Q: The complement of 4 heads in the toss of 4 coins is At least one tail, Why it cannot be "all…

A: This can be understood as the rule of hypothesis. In which the alternative hypothesis is the…

Q: You will need to have some squares, you can cut out paper squares that are 1 inch by 1 inch, use…

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Q: A group of citizens were surveyed and asked if they approved the new parking restrictions for their…

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Q: “If the product of two counting numbers is an even counting number, then both of the counting…

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Q: There are 6 children in the neighbourhood. How many ways of forming a group to go to a baseball game…

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Q: Is it possible for two numbers to have the same least common multiple and greatest common devisor?

A: To check whether for two numbers can have the same LCM and HCF.

Q: Draw two cards from a regular deck. If cards of the same suit are drawn, player I wins, if cards of…

A: Total number of cards in the deck is 52. Number of cards drawn is 2.

Q: What are some of the instruments that can be used to conduct a research project? How does one select…

A: Here we want to discuss instruments that can be used to conduct a research project. interviews,…

Q: from a standard 52-card deck, selecting five cards, how many possible outcomes include one pair(two…

A: We have to find given no. Of ways.

Q: If Gianna decides to use the COUNT procedure to create her HOMOATTS variable, what should she do…

A: Given variables to use the COUNT

Q: Suppose a standard six-sided die is rolled and you receive $2.50 for every dot showing on the top of…

A: When a six-sided die is rolled the probability of getting each number is 1/6.  1 dot is present In…

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: If you select one card at random from a standard deck of 52 cards what is the possibility that the…

A:

Q: If radio station call letters must begin with either K or W and must include either two or three…

A:

Q: The bus has left seats and right seats with the maximum seating capacity of 48 persons. what is the…

A:

Statements and Logic

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