Sets and Relations Questions and Answers

A football players who are younger than 10 years old old The following table lists the ages and number of players per age group that are on a football team Let How many players are in the complement of A Itranscript Ages of Players on Football Team Age 8 9 10 11 Number of Players 6 4 6 3

8 1 point Suppose that x is a function such that 5 0 and f x is positive for all x 5 What is the domain of the function g x f x a r R b x R x 0 C x R x 5 d xe Rx0 and x 5

1 1 point Which diagram is a correct mapping diagram for the ordered pairs 3 2 5 1 5 2 and 1 1 C 00 Domain in w ZEE G Domain Range Range C Domain Domain Range 5 Range

A Results of 105 tall and 22 dwarf plants Is stated in a x null hypothesis to not be statistically different from 95 and 32 respectively 105 22 22 32 95 95 B 105 95 95 e What would a Chi square analysis of this data look like 22 32 32 o e 95 105 95 32 22 22

The median price of a single family home in a given town is 250 000 in 2018 A real estate broker believes the price value of homes has increased since then State the null and alternative hypothesis for the scenario using math symbols and For the toolbar press ALT F10 PC or ALT FN F10 Mac BI U Paragraph Arial O M V 10pt V H Ev A V T G

3 Tree Graphs Which graph below is a tree graph W O O X

QUESTION 5 Tuesday at school the boys and girls were asked separately what their favorite type of novel was fiction romance or non fiction Describe the type of data collecte Bivariate and Quantitative Bivariate and Categorical Univariate and Quantitative Univariate and Categorical

point Complete the truth table for the following statement P 9 P TT T F LL F q p q pv q PA q pvq p q pvq I

1 point A group of college students were asked about their TV watching habits Of those surveyed 29 students watch The Walking Dead 22 watch The Blacklist and 30 watch Game of Thrones Additionally 13 watch The Walking Dead and The Blacklist 12 watch The Walking Dead and Game of Thrones and 10 watch The Blacklist and Game of Thrones There are 7 students who watch all three shows How many students surveyed watched at least one of the shows

Time Taken 0 00 13 Question 2 25 points Using the following EST graph you may assume the time units are in hours San 3 B 0 1 2 5 Neftali Moreno Miranda Attempt 2 0 5 H How long does it take to do just task D 1 2 12

0 5 pts If the average aggregate inventory value is 1 100 000 and the cost of goods sold is 4 400 000 which of the following is inventory turnover O 0 2 through 0 5 2 6 through 4 0 O 0 6 through 2 5 4 5 through 5 5

Find the shortest distance from Vertex A to Vertex F in the digraph A 8 4 4 D B 4 C 6 2 6 4 E F 8

Let S C R be non empty and bounded above so that sup S exists Show that there exists an increasing sequence Sn neN of elements S ES for all n N such that s sup S as n Hint Use the characterisation of the supremum for cleverly chosen competitors of the supremum

List the elements in the set x x is a natural number between 7 and 16 n Use a comma to separate answers as needed Use ascending order

The MAIN function of political parties in the United States is to O prevent ordinary people from being able to run in elections O ensure the country remains a representative democracy O keep certain types of political candidates out of power help people who support similar political ideas to bo plected in

The right of citizens of the United States who are eighteen years of age or older to vote shall not be denied or abridged by the United States or by any State on account of age Which of the following reflects the source and impact of this quote O 13th Amendment 15th Amendment 24th Amendment

Let a graph have vertices R S T U V W X Y and edge set R S R T R U R W R a What is the degree of vertex U b What is the degree of vertex Y c How many connected components does the graph have

The arc length of a circle is 44 and the radius is 8 What is the central angle O 370 O 139 O 250 315

Ann works at Blue Beach Aquarium For a sample of 7 days she recorded how much fish in pounds an adult seal and an adult sea lion ate The table shows the results Day Seal Sea lion Monday 13 14 Tuesday 12 13 Wednesday 11 18 Thursday 13 13 Friday 10 19 Saturday 15 13 Sunday 10 15 Complete the table Write your answers as whole numbers or decimals rounded to the nearest tenth Seal Sea lion Mean Mean absolute deviation 15 1 4

The area model represents a carnival game Use it to answer the following questions If 500 people play the carnival game how many will land on a star Round to nearest whole person Only use DIGITS for your answer No words symbols commas etc Answer x 219 Question 74 Use the information below to answer the question 82 people vote yes 71 people vote no 45 people vote both 145 total people voted Yes No How many people voted neither Answer 4x 37

Express the interval in set builder notation and graph the interval on a number line 1 7 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution set in set builder notation is x Type an inequality or a compound inequality B The solution set is all real numbers

Give the domain in interval notation of the following irreducible rational function f x x 4 15x 3 80x 2 180 144 x 2 2x 3 2 6 are zeros of the numerator

Use the display of data to find the mean median mode and midrange The mean of the data is OA The mode of the data is Frequency 10 8 OB There is no mode for the given data Round to the nearest tenth as needed The median of the data is Round to the nearest tenth as needed Select the correct choice below and if necessary fill in the answer box to complete your choice Use a comma to separate answers as needed Score 10 11 12 13 14 The midrange of the data is Round to the nearest tenth as needed

If A 11 and B 9 what is AUB An B

Determine the solution set for the equation x 12 2 y 7 2 36

Find the first five terms of the sequence an 9 5n a1 a2 a3 a4 85 Determine whether the sequence is arithmetic If it is arithmetic find the common difference d If the sequence is not arithmeti d Express the nth term of the sequence in the standard form an a n 1 d If the sequence is not arithmetic enter DNE

Attempt In Progress Bramble Corp budgeted manufacturing costs for 65000 tons of steel are Fixed manufacturing costs 50000 per month Varlable manufacturing costs 12 per ton of steel Brambleproduced 55000 tons of steel during March How much is the flexible budget for total manufacturing costs for March O 710000 700000 660000

A restaurant asked customers to list their favorite menu items The table lists the answers of eight customers Using the table complete the following a Choose a set that is equal to the set of Shen s favorite menu items Choose one b Choose a set that is equivalent but not equal to the set of Lisa s favorite menu items Choose one Chris Brisket Hummus Lasagna Hamburger c Maya Hummus Cheeseburger Lentils Chili Chowder Scott Schnitzel Paella Lasagna Deon Pilaf Gumbo Linda Hummus Chowder Gumbo Pilaf Shen Lasagna Schnitzel Paella Jose Brisket Pilaf ither Customer Chris Lisa Maya Scott Deon Linda Shen Jose Set of favorite menu items Brisket Hummus Lasagna Hamburger Brisket Dumplings Salmon Shrimps Sausage Hummus Cheeseburger Lentils Chili Chowder Schnitzel Paella Lasagna Pilaf Gumbo Hummus Chowder Gumbo Pilaf Lasagna Schnitzel Paella Brisket Pilaf

A i j k l m B is the set of integers greater than a Find the cardinalities of A and B n A b Select true or false WE A JE A True False O B 6 and less than 2 n B X

Let the Universal Set S have 198 elements A and B are subsets of S Set A contains 94 elements and Set B contains 93 elements If the total number of elements in either A or B is 173 how many elements are in B but not in A Answer elements

In a survey of 101 pet owners 51 said they own a dog and 11 said they own a cat 7 said they own both a dog and a cat How many owned a dog but not a cat Answer owners Question Help Video Message instructor

In a survey of 164 pet owners 53 said they own a dog and 93 said they own a cat 27 said they own both a dog and a cat How many owned neither a cat nor a dog Answer Question Help owners Video 1 kido 2 52 4

Let S be the universal set where S 1 2 3 28 29 30 Let sets A and B be subsets of S where Set A 6 11 15 26 Set B 1 3 4 8 15 21 Set C 4 5 11 22 27 LIST the elements in the set AUBUC AUBUC Enter the elements as a list separated by commas If the result is the empty set enter DNE LIST the elements in the set AnBnC An BnC Enter the elements as a list separated by commas If the result is the empty set enter DNE You may want to draw a Venn Diagram to help answer this question Question Help Video 1 Video 2 Message instructor

Let S be the universal set where S 1 2 3 18 19 20 Let sets A and B be subsets of S where Set A 1 6 8 9 15 16 20 Set B 3 4 5 7 8 11 13 14 15 16 17 18 19 Find the following LIST the elements in the set An B An B Enter the elements as a list separated by commas If the result is the empty set enter DNE LIST the elements in the set BnA BNA Enter the elements as a list separated by commas If the result is the empty set enter DNE Land You may want to draw a Venn Diagram to help answer this question Question Help Video Message instructor

b Which of the sets are equivalent O AC B D E F OAB CD E F O A CD E F O AC DE F O A C B D E F c Which of the given sets are equal O A C D E F O A C B D E F O A C D E F O A C D E F OC F F F

A collec io station surveyed 132 incoming freshmen to gather information about the genres of music that they like The table below gives the results for two of the genres Like rap Like classical Like both rap and classical Number of freshmen 66 85 47 Construct a Venn diagram illustrating these results Then answer the questions All freshmen in the survey Like rap These buttons change the Venn diagram Like classical How many freshmen like classical but not rap freshmen How many freshmen like rap or classical or both freshmen X

For the universal set U 2 3 4 5 6 7 complete the parts below Write your answers in roster form or as a Suppose A 2 5 7 Then what is A A 0 b Suppose we know that B 2 5 6 7 Then what would B have to be 0 B

What are the most important factors to consider when reviewing the authorship of a source Choose all that apply credentials such as academic degrees O professional reputation institutional affiliation yearly income international fame

Joe is playing a game in which he spins a spinner with 6 equal sized slices numbered 1 through 6 The spinner stops on a numbered slice at random This game is this Joe spins the spinner once He wins 1 if the spinner stops on the number 1 3 if the spinner stops on the number 2 5 if the spinner stops on the number 3 and 7 if the spinner stops on the number 4 He loses 6 50 if the spinner stops on 5 or 6 a Find the expected value of playing the game dollars b What can Joe expect in the long run after playing the game many times Joe can expect to gain money He can expect to dollars per spin Joe can expect to lose money He can expect to lose dollars per spin O Joe can expect to break even neither gain nor lose money X

Rafael has a deck of 10 cards numbered 1 through 10 He is playing a game of chance This game is this Rafael chooses one card from the deck at random He wins an amount of money equal to the value of the card if an odd numbered card is drawn He loses 3 40 if an even numbered card is drawn a Find the expected value of playing the game dollars b What can Rafael expect in the long run after playing the game many times He replaces the card in the deck each time O Rafael can expect to gain money He can expect to win dollars per draw Rafael can expect to lose money He can expect to lose dollars per draw Rafael can expect to break even neither gain nor lose money

A number cube with faces labeled 1 to 6 is rolled once The number rolled will be recorded as the outcome Consider the following events Event A The number rolled is greater than 4 Event B The number rolled is odd Give the outcomes for each of the following events If there is more than one element in the set separate them with commas a Event A and B 0 b Event A or B c The complement of the event 4 X

Let the set A be defined as follows A d m s h p k a Find the total number of proper subsets of A 0 b Find the total number of subsets of A

Assume the spinner cannot land on a line Determine the probability that the spinner lands on a red b green c yellow and d not red a P red Simplify your answer b P green Simplify your answer c P yellow 0 Simplify your answer d P not red Simplify your answer C Y G

You are dealt one card from a standard 52 card deck Find the probability of being dealt the The probability of being dealt the ace of spades is Type an integer or a simplified fraction

At a music store in New York City 56 people entering the store were selected at random and were asked to choose their favorite type of music Of the 56 20 chose rock 12 chose country 4 chose classical and 20 chose something other than rock country or classical a Determine the empirical probability that the next person entering the store favors rock music b Determine the empirical probability that the next person entering the store favors country music c Determine the empirical probability that the next person entering the store favors something other than rock country or classical music a The empirical probability that the next person entering the store favors rock music is Simplify your answer b The empirical probability that the next person entering the store favors country music is Simplify your answer c The empirical probability that the next person entering the store favors something other than rock country or classical music is Simplify your answer

Two sets are specified by graphs Graph their intersection 10 10 O B 9 O C 9 10 8 Choose the correct intersection O A 10 8 9 9 7 9 7 8 8 8 6 6 7 7 7 5 5 CO 6 St 6 6 4 4 5 5 5 t 4 3 4 4 3 4 3 2 3 2 3 2 2 1 2 1 1 1 1 0 0 0 C 0 0 1 1 1 1 1 2 N 2 2 2 2 3 3 3 3 3 4 4 4 4 et 5 435 5 5 5 715 co 6 6 co 6 co 6 6 7 7 N 7 7 8 8 8 co 8 60 8 9 9 9 9 9

U is the set of universities in a country A is the set of universities that have a basketball team B is the set of universities that have a physics department Describe A in words Choose the correct answer below OA A is the set of universities in a country that do not have a physics department OB A is the set of universities in a country that have a basketball team and do not have a physics department OC A is the set of universities in a country that do not have a basketball team OD A is the set of universities in a country that have a physics department and do not have a basketball team

Use the Venn diagram shown to list the set B in roster form U A 5 4 3 10 11 6 12 16 15 8 9 B 00 18 This test 35 point s possible This question 1 point s possible B 16 8 9 12 15 Use ascending order Use a comma to separate answers as nee

A group of data items and their mean are given 15 25 35 60 90 135 Mean 60 a Find the deviation from the mean for each of the data items b Find the sum of the deviations in part a a Type the deviation from the mean for each of the data items 35 90 15 25 Simplify your answers 60 135

transcript Indigo Depot is having a clearance sale of their summer items All clearance items are marked an additional 30 off the sale price A swimsuit that originally costs 150 before any discount is on sale for 15 off What would your total cost be if the sales tax is 4 5 Round your answer to the nearest cent if necessary Answer 2 Points Keypad Keyboard Shortcuts