Sets and Relations Questions and Answers

Given S A B UC T A BUC 1 Construct a Venn diagram for sets S and T 2 Describe the relationship between sets S and T 3 Find a pair of disjoint sets on the Venn diagram you constructed

A hand of 8 cards are dealt from a standard deck of 52 cards a What is the probability that half are red and half are black b What is the probability that there is at least two of a kind

nd the area of the region that lies inside the first curve and outside the second curv 2 72 cos 20 r 6

2023 Question Twelve different video games showing drug use were observed The durati claim that the sample is from a population with a mean greater than 80 sed 89 13 565 49 0 56 192 42 187 0 2 52

Which of these contexts describes a situation that is likely Rolling a number greater than 1 on a standard six sided die numbered from 1 to 6 Spinning a spinner divided into four equal sized sections colored O red green yellow blue and landing on red Winning a raffle that sold a total O of 100 tickets if you bought 50 tickets Reaching into a bag full of 10 strawberry chews and 10 cherry O chews without looking and pulling out a strawberry or a cherry chew

A researcher wishes to estimate with 99 confidence the population proportion of likely U S voters who think Congress is doing a good or excellent job Her estimate must be accurate within 2 of the true proportion a No preliminary estimate is available Find the minimum sample size needed b Find the minimum sample size needed using a prior study that found that 44 of the respondents said they thin Congress is doing a good or excellent job c Compare the results from parts a and b a What is the minimum sample size needed assuming that no prior information is available Round up to the nearest whole number as needed n

A jazz band has two star hot both of them play in director can have play Write each set in your lis commas If you need the

LK Ch 25 Homework Question 19 of 20 Vilas Company is considering a cap have a useful life of 5 years with no net income and net annual cash flo is the required rate of return on the Click here to view the factor table a

Here is a Venn diagram showing the sets B and D as well as The numbers shown are elements of these sets 1 7 2 3 6 8 B a BnD b D 0 D 4 5 Find the sets below Write each answer in roster form or as

The initial simplex tableau of a linear programming problem is show X1 X2 X3 1 4 5115 1 1 4 4 1 0 5100 2010 Z 0 12 0 52 10

Here is a Venn diagram showing the sets B and D as well h y B a B 0 Prz D 819 x Find the sets below Write each answer in roster form or a 10

Construct a truth table for p q P 9 p TT T F F q piq P F T F Construct a truth table for p q q p q F F F Are the statements equivalent

In Lines 2 3 of The Love Song of J Alfred Prufrock Eliot uses what poetic device A alliteration B metaphor C simile

Find the future value of an ordinary annuity of 7 000 paid quarterly for 6 years if the interest rate is 9 compounded quarterly Round your answer to the nearest ce x

et A 1 2 3 4 5 x 1 2 3 4 5 Let R be relation on A defined by letting a b R c d if and only if a c mod 3 and b d mod Prove that R is an equivalence relation Write down all the distinct equivalence classes of R

C means is a subset of C means is a proper subset of Z means is not a subset of 0 is the empty set For each statement decide if it is true or false Statement 11 12 13 14 15 1 3 9 12 14 15 c d f g c f q s x c q s x Tr

Previously 7 8 of workers had a travel time to work of more than 60 minutes An urban economist believes that the percentage has increased since then She randomly selects 50 workers and finds that 7 of them have a travel time to work that is more than 60 minutes Test the economist s belief at the 0 05 level of significance What are the null and alternative hypotheses Ho P 0 078 versus H p 0 078 Type integers or decimals Do not round Because npo 1 P 3 6 10 the normal model may not be used to approximate the P value Round to one decimal place as needed Find the P value P value Round to three decimal places as needed

1 Identify and sketch the set of points satisfying a z 1 i 1 b 1 2z6 2 c z1 2 z 1 8 d z1 z 1 2 e z1 z f 0 Im z T g Rez T h Rez z i Re iz 2 0 j z i z i 2

QUESTION 3 In a statistical study a st Find the a Sample median of the

Show that B A U C A BUC A 1 Using Venn diagrams 2 Using the set builder notation and logical equivalences See examples 11 Pg 137 and 14 Pg 139 Attach File Browse Local Files Browse Content Collection Browse Dropbox

For each of the pairs of sets determine whether the first is a subset of the second the second is the subset of the first or neither is the subset of the other Enter first second or neither a the set of real numbers the set of integers b the set of bit strings the set of bit strings which begin with 0 bit c the solution set of the equation x 4 0 the set N

What is the cardinality of each of these sets Enter a numerical value a b c 0 0 18 18 0

Draw the Venn diagrams for each of the sets a An BUC b AUB C

Let A a b c d e and B c e f g Find the following sets Use a comma to separate members of each set a AUB b An B c A B d B A

Which of the following is the power set of the set S a b 00 O a O a 0 b O a b a b

Determine whether these statements are true or false Enter T or F a b E c 0 d 8 0

Click on the diagram for the intersection of sets A and B A A Selected Coordinates Clear B B A P

Which of the following sets defines the shaded area on the diagram below S O SUT OT S OTOS OS T T

Click on the diagram for the difference of A and B A A Selected Coordinates Clear B B A B

Which of the following is the power set of the set S a b c 0 0 5 O a b c a b a c b c S O a b c S O a b c a b c

Which of the following relations between sets A and B corresponds to the Venn diagram below B O ACB O A B OBCA O A2B A

Truth or False Type T for the Truth and F for the False

Match each set builder expression with the correct interval by selecting a letter from each drop down selector a x b x a r x a r x 2 b x a x b x a x b ER x a x b r b a a b b a b c 00 b d 0 00 e a b f 0 b g a b h a 0 i a 0

Which of the following are directly affected by the U S government s collection and use of statistics Senate seats per state House seats per state Electoral College votes per state state senate seats state governors

Find the inverse y 5 7 O log x 7 O log x 7 log x 7 log x 7

Question 4 Use the following roster notations to write in set builder notation use as the variable 10 12 14 16 18 20 4 is an Select an answer integer between and 3

Let f x y xex2 y and P 1 1 a Calculate VfP b Find the rate of change of f in the direction VfP c Find the rate of change of f in the direction of a vector making an angle of 45 with VfP

A survey of 1000 high school seniors showed that 100 had taken the SAT as well as the ACT and also taken AP classes There were 200 who took the SAT and AP 250 who took the ACT and AP and 150 who took the ACT and SAT A total of 600 students took the ACT a total of 300 took the SAT and a total of 550 took AP classes How many students took none of these neither the SAT nor the ACT nor any AP

hen you write a compare and contrast essay you need to u will use an evaluative thesis or an explanatory thesis An evaluative thesis reflects an opinion or judgment abo being compared An explanatory thesis compares two subjects without ta nsider the following thesis statement hough authoritative parenting and permissive parenting vantages and disadvantages permissive parenting is wide hore successful approach e thesis statement above is an example of

variate newo A cheese processing company wants to e milligram of the population mean

Tutorial Assign ashboard My courses SC MATH15 Question 17 Not yet answered Marked out of Given that A 2 4 5 6 8 C 1 3 5 7 9

The wall thickness of a 3 5 ft diameter spherical tank is 7 15 in Calculate the allowable internal pressure if the stress is limited to 6500 psi A 288 89 ksi B 288 89 psi C 288 89 kips D 288 89 N

Q www awu aleks com alekscgi x Isl exe 10 u IgNslkr7j8P3 O COUNTING AND PROBABILITY Probabilities of an event and its complement A darttas 8 equally sized slices numbered from Some are grey and some are white The slices numbered 1 2 5 6 and 8 are grey The slices numbered 3 4 and 7 are white A dart is tossed and lands on a slice at random Let X be the event that the dart lands on a grey slice probability of X Let not X be the event that the dart lands on a slice P not X be the probability of not X a For each event in the table check the outcom

5 31 WP At steady state a reversible refrigeration cycle discharges energy at the rate OH to a hot reservoir at temperature TH while re ceiving energy at the rate Oc from a cold reservoir at temperature Tc a If TH 13 C and Tc 2 C determine the coefficient of per formance OTO oqmal is b If OH 10 5 kW Oc 8 75 kW and Tc 0 C determine T in C c If the coefficient of performance is 10 and TH 27 C deter mine Tc in C

11 3 2x 2 10 3 2x 2 V 2 10 2 y 2 correctly paired with their graphs

5 Assume that f R R is such that f x f y X x y for all x y E R and some 0 1 Pick xo E R arbitrarily and construct a sequence xn as follows In 1 f xn for n 0 a Prove that n 1 Xn xn Xn 1 for all n 1 b Prove that n 1 xn x xo for all n 1 c Prove that n is convergent d Let x limxn Prove that f x x

Let A AB A B U B A be the symmetric difference of any two sets A and B Use an element chasing argument to show that For all sets A B and C we have An BAC ANB A ANC For the toolbar press ALT F10 PC or ALT FN F10 Mac

Prove by contradiction Let A B C be sets If A U BEC and C B C A then A B For the toolbar press ALT F10 PC or ALT FN F10 Mac

Let B be the set of all blue things Let C be the set of all cars Let D be the set of all damaged things 4 Let SC denote the complement of any given set S Give a description in English of each of the following sets a BNC b C B c B N DC For the toolbar press ALT F10 8C AUT

2 Let S be the relation on R defined by Sy if sin x sin y Show that S is equivalence relation and determine the distinct equivalence classes