The patterns made by automobile tire treads in the snow are friezepatterns. An extensive study of automobile tires revealed that onlyfive of the seven frieze patterns occur. Speculate on which two patternsdo not occur and give a possible reason why they do not.

Q: Write a conjecture to describe the pattern. 2, 4, 6, 8, 10,...

A:

Q: A Zoom class has 48 students, and for an in-class activity they will be going into breakout rooms in…

A: a) The number of different breakout room assignments if the breakout room numbers matters is,…

Q: How many combinations can the seven colors of the rainbow be arranged into groups of three colors…

A:

Q: In a math 105 class of 32 students, a survey showed that 20 students used the ALEKS etext at least…

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Q: if these five numbers form a pattern such that the differernce between each pair of numbers is the…

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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: Find the number of combinations that can be drawn without replacement by pulling 2 balls from a set…

A:

Q: students and found that 40% of them had cats, 12% had both cats and dogs, and 45% didn't have…

A: Given: No of students-300 Students who had cat- 40% Students who had both cat and dogs- 12% Students…

Q: A focus group of 3 students from this class is going to be randomly chosen. In how many ways can the…

A: Students to be chosen = 3 Total number of students in the class  = (6+4+3+1+1+5+8+3+1+1) = 33

Q: A track and field event has eight entries.  Assuming that there are no ties, how many different…

A: It is given that, A track and field event has eight entries. And We are assuming that there is no…

Q: . A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector…

A: we have to find number  of ways..

Q: In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student…

A: Let us denote: Cricket = C and Football= F Given that, n(C)= 24 , n(F)= 16 , n(C or F)=35  We have…

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: If there was a Connect 4 tournament where one person played 5 games, two people played 4 games, and…

A:

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

A: FALSE  the detailed solution is as follows below:

Q: In a survey of 400 students in a school, 100 were listed as taking applejuice, 150 as taking orange…

A:

Q: A child has 25 blocks, of which 8 are yellow, 4 are red, 6 are green, 4 orange, and 3 are blue. If…

A: Given, A child has 25 blocks, of which 8 are yellow, 4 are red, 6 are green, 4 orange, and 3 are…

Q: An individual is going to paint the 5 toes of their right foot using one or two, but not three of…

A: An individual is going to paint the 5 toes of her right foot using one or two, but not three of the…

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: Out of 32 students in a class 5 said they ride their bike to school. Based on these results how many…

A: Unitary method : It is a method by  first determine the value of single unit and then determine the…

Q: What could be the game schedule bracket for the 12 teams of basketball tournament playing from the…

A: First understand bracket A bracket- It contains two football teams, which plays against one another.…

Q: A camp counselor and six campers are to be seated along a picnic bench. In how many ways can this be…

A:

Q: In a survey it was found that 21 people liked product A, 26 liked product B and29 liked product C.…

A: Let A, B, and C be the set of people who like product A, B, and C respectively.  Now since 21 people…

Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

A:

Q: A group of five people would like to select two people among themselves and send them to a…

A: It is given that n=5 and r=2.

Q: Suppose a designer has a palette of 14 colors to work with, and wants to design a flag with 4…

A:

Q: Determine the number of ways in which the edges of a square can becolored with six colors so that no…

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Q: A southeast regional salesman has eight destinations that he must travel to this month:Atlanta,…

A: Given salesman has 8 destinations. Therefore different possible routes are 8! ways = 40320 ways.

Q: If eight basketball teams are in a tournament, find the number of different ways that first, second,…

A: Given: There are eight team in a basket ball tournament.   1st 2nd 3rd The first place can…

Q: The number of ways can select a cricket team of 11 players out of 14 players is_

A:

Q: A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the…

A: Given A sailboat owner received 5 different signal flags with his new sailboat.

Q: Suppose a designer has a palette of 16 colors to work with, and wants to design a flag with 2…

A: Recall:  nCr=n!r! (n-r)! We have, n=16, r=2

Q: A manager that owns 3 local area Car Maintenance Garages was researching certifications of mechanics…

A: Given Venn diagram:

Q: 4.) Write a conjecture that describes this pattern.

A: In mathematics, a conjecture is a conclusion or a proposition which is suspected to be true due to…

Q: The organizer of a conference is selecting workshops to include. She will select from 7 workshops…

A: She has to select 6 workshops where atleast 5 must be about music. She can do it 2 way, i. she…

Q: In a survey of 120 people, it was found 65 read Newsweek magazine, 45 read Time magazine and 42 read…

A: Let us denote Newsweek magazine by N; Time magazine by T and Fortune magazine by F. There are 20…

Q: If 5 horses are in a race and they all finish with no ties, in how many ways can the horses finish…

A: Given information- We have given that 5 horses are in a race. They all finish the race with no ties.…

Q: A box of colored crayons contains 15 distinct colors. In how many ways can 4 colors be chosen,…

A:

Q: Is it possible to plant 10 trees in 10 straight rows with 3 trees in each row? Hint: Desargues says…

A:

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

A:

Q: Write a conjecture to describe the pattern. 1, 1, 2, 3, 5, 8, 13,...

A:

Q: The manufacturer plans to make scarves with 8 colored stripes. There are 16 colors to choose from…

A:

Q: ) The list shows the number bottles oF of strawberry jam sold in a day by 14 dipferent vendors : 19,…

A: Given data is 19,16,10,12,15,13,9,11,17,15,18,20

Q: a strap is made up of 20 beads (4 yellow, 6 blue, 3red and 7 green. Calculate for the all possible…

A: A strap is made of 20 beads of which 4 yellow, 6 blue,3 red and 7 green. The total number of…

Q: Give Me the Number of Ways In each problem, please indicate what kind of permutations is involved,…

A: The number of permutations which can be made to 10 pocalletes in designing the edge of a circular…

Q: Choose рaper.

A: (1). A relation where each element in the domain is related to only one value in       the range by…

Q: Showe that al graul of Orden 39,41 ,43 and 44 lce

A:

Q: Determine the number of ways in which the faces of a cube can becolored with three colors.

A: There are 3 colors And there are 6 faces of a cube.