A veterinarian is interested in the life span of golden retrievers. He recorded the age at death (in years) of 9 retrievers treated in her clinic. The ages were 12, 9, 12, 10, 8, 14, 13, 9, and 12. What is the modal age of 9 retrievers?

Q: EVO, 25,000 contestants in the Super Smash Bros. tournament were surveyed out their main character.…

A: To find the probability that a contestant who main Mario does not like playing as Dr. Mario:

Q: How many ways can 12 knights be arranged around a roundtable?

A:

Q: State the Principle of Mathematical Induction.

A: Let X(n) is a statement, where n is a natural number.  Then the principle of mathematical induction…

Q: What is 10-11 ?

A: laws of negative exponent :                      a-x = 1ax

Q: 100 athletes were asked about which sports they played in high school. 50 said that they played…

A:

Q: How many distinct arrangements of the letters in the word “footballers” are possible?

A:

Q: Los Angeles Dodgers. From the official website of the 2013 Los Angeles Dodgers major league baseball…

A:

Q: a) what is the modal usability score for these 51 home pages? c) estimate the median usability…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any one question so I am solving…

Q: 00 country song NR6) If all of the letters in the word PENCILS are used, the number of arrangements…

A: Given ,  If all of the letters of PENCILS are used, the number of arrangement with all of the…

Q: What chart shows a skip counting pattern with the rule add 4?

A: Given skip counting pattern is the rule to add 4. In option A: Starting from 4, when 4 is added to…

Q: Decide if the situation is a permutation or a combination and then answer the question.   A musician…

A:

Q: How many ways can a DVD collection of 12 different movies be arranged in alphabetical order on a…

A:

Q: In how many ways can the letters of the word MANAGEMENT be rearranged so that the two 'A’s do not…

A:

Q: Which word has the most permutations of its letters? abbas aabbcc books bikes

A: To select the word which has the most permutations of its letters. Word 'abbas' has five letters…

Q: You have picked out 7 of your favorite CDs to play. How many different orders are there to play 4 of…

A: Given information- Total number of CDs = 7 We have to find the number of orders is there to play 4…

Q: Find the number of different ways to draw a 5-card hand from a standard deck (four suits with 13…

A: Solution : Find the number of different ways to draw a 5-card hand from a standard deck  of cards to…

Q: C) How many ways to rearrange all the letters in the word HORSE?

A: We will look at two different ways to solve this in the below step.

Q: Find the number of distinguishable permutations of the word COMBINATION

A: COMBINATION

Q: 20 fifth graders compete in a spelling bee. If there is a gold medal, silver medal, and bronze medal…

A: We have  Medals = 3 Positions = 3

Q: How many months, weeks, and days are there between May 4, 2014 and August 23, 2014?

A: given the date from May 4 2014 and August 23 2014 we need to calculate the number of months , weeks…

Q: Identify Subproblems On a airplane that is two- thirds full, 20% of the passengers are boys, one-…

A:

Q: 100 athletes were asked about which sports they played in high school. 50 said that they played…

A:

Q: How many distinct arrangements of the letters in the word FOOTBALLLERS are possible? 40,320,100…

A: We have to find the distinct arrangements of the letters in the word FOOTBALLLERS.

Q: How many ways can these numbers be arranged? How many numbers greater than 4,000,000 can be formed…

A: Here use combination

Q: What is m2FIH?

A: Given,

Q: Standard passenger-car license plates in the state of Indiana contain 3 capital letters from the…

A: Given that, Standard passenger-car license plates in the state of Indiana contain 3 capital letters…

Q: . Explain the differences between Permutation and Combination.

A: Permutation = 1)The different ways of arranging a set of objects into a sequential order are termed…

Q: How many different “4 of a kinds is there in Yahtzee? How many different Yahtzee’s are there? How…

A: Yahtzee is a dice game based on poker. The object of yahtzee is for each player to roll dice and…

Q: How many five-card hands (drawn from a standard deck) contain exactly three nines? (A five-card hand…

A: There are 4 nines in a deck of 52 cards. We can select 3 nines in 4C3=4 ways.

Q: How many different ways can a manager and supervisor select from an IT company branch in Manila if…

A: Query- How many different ways can a manager and supervisor select from an IT company branch in…

Q: How many different 10-letter codes can be made using three a’s, four b’s, and three  c’s?

A:

Q: What is the modal group for when they completed studies? How many people are in this group? What…

A: A percentage is a number or ratio which is expressed in terms of a fraction of 100. A percentage is…

Q: In how many ways can the digits in the number 7,848,488 be​ arranged?

A: The number is a seven digit number, so we're dealing with seven digits.  If we were working with the…

Q: How many distinct arrangements are possible using the letters of the word POSSIBILITY?

A: Important keys :  When given a number of objects and we would to find the possible different…

Q: How many five-card hands (drawn from a standard deck) contain exactly two spades? (A five-card hand…

A: There are 13 spades in a deck of 52 cards. We can select 2 spades in 13C2=78 ways.

Q: How many can we rearranged the word POSSESSIVENESS?

A: Given information: The word "POSSESSIVENESS" is provided. It is required to obtain the number of…

Q: How many different 7​-card hands can be selected from an ordinary​ deck

A: 52C7=133,784,560

Q: A man bought 20 pcs of assorted calculators for P20, 000.00. these calculators are of three types,…

A:

Q: How many ways can the word SENSITIVE be rearranged to form a pass-code?

A:

Q: In how many distinct ways can the letters of the word “YELLOWWOOD” be rearranged? 50,400 151,200…

A: To arrange a word in distinct ways, we have to use permutations.

Q: Determine if 3 is in Nul A, where 3 -5 -3 6 -2 -8 4

A:

Q: Which notation expresses the number of permutations of 9 items taken 6 at a​ time

A: Number of permutations of n items taken r at a time is given by Pn, r=Prn=n!n-r!

Q: How many possible iPhone lock combinations are there between all 6-digit and 4-digit pass codes…

A: Use concept of combinations, as follows: 4 digit passcode has 4 places for digits Each of them can…

Q: How many different four​-letter ​"words" can be formed from the alphabet ABCD

A:

Q: How many possible passwords can be formed from the letters: ASSISTANT_TITAN ? How many different…

A: Permutation is arrangement of number of objects in definite order. npr=n!n-r!

Q: What is the standard divisor when the total population is 120,000 and the representatives needed is…

A: From the provided information, Total population = 120000 Number of objects = 60

Q: Owners of a restaurant advertise that they offer 1,114,095 different lunches based on the fact that…

A: To explain: How the owner of a restaurant arrive to the number 1,114,095. Given: The owner have 16…

Q: For Americans using library services, the American Library Association (ALA) claims that 67% borrow…

A: ALA claims 67% borrow books i.e. p = 0.67 sample size  : n = 101  x : number of borrowed books = 78…

Q: How many license plates can be made using either two uppercase English letters followed by four…

A:

Q: How many ways to arrange a 4-digit number, provided that the said number must be even and there are…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.