Questions

Convert to degrees 13 points 8T 3

2 Graph the system of equations shown below and then list your solution as an ordered pair 8 7 6 5 4 3 2 8 7 8 5 4 3 2 1 1 2 3 1 5 6 Y 67 7 8 1 2 3 5 B 7 8 X y 3x 2 y 8 2x

Determine the exact values of the six trigonometric functions for 0 if 7 5 is a point on the terminal side of 0 Reduce fractions and simplify radicals Do not use decimals Q1 1 50 Points sin 9 points cos 9 points

Determine whether the following statement is true or false 5E 1 2 3 15 True False

Determine the exact value of cos 5 12 points

The subsets A B and C of the universe U satisfy the following conditions n A 40 n B 48 n C 42 n An B 8 n An C 10 n BNC 4 n AnBn C 2 n ANBNC 81 Find n U

Convert 675 to radians 13 points

Are the sets equivalent A Larry Moe Curly Shemp B Posh Sporty Baby Scary O Yes O No

11C Exercises Each movement of a composer s piano sonatas is divided into two parts the exposition and the development and recapitulation The lengths in measu part a and the second part b of each movement are given in the table below The ratio of the length of the whole movement to the length of the longer segment is 41 46 51 60 1 8039 1 7667 b Briefly comment on how well the ratios computed above are approximated by Choose the correct answer below The values of the ratio are not well predicted by because while they are clustered around their average is greater than and there are more values OA greater than B The values of the ratio are well predicted by OC The values of the ratio are well predicted by On The values of the ratio are not well predicted by because while they are clustered around their average is less than d because there are not too many values greater than and their average is close to because they are clustered around

When a man observed a sobriety checkpoint conducted by a police department he saw 667 drivers were screened and 9 were arrested for driving Based on those results we can estimate that P W 0 01349 where W denotes the event of screening a driver and getting someone who is intoxicated What does P W denote and what is its value OOOD What does P W represent OA P W denotes the probability of a driver passing through the sobriety checkpoint O B P W denotes the probability of driver being intoxicated OC P W denotes the probability of screening a driver and finding that he or she is not intoxicated OD P W denotes the probability of screening a driver and finding that he or she is intoxicated

Multiple answer Choose all that apply TSIA tests for an organism s ability to ferment glucose ferment mannitol ferment lacose and or sucrose

If you observed a Kligler Iron Agar slant after inoculation with an unknown bacterium and incubation for 24 hours which of the following conclusions would you record if the KIA tube has a red slant yellow butt and gas bubbles trapped in the butt choose all that apply Select All That Apply A B Oc OD OE F G The unknown bacterium is positive for the ability to utilize Lactose The unknown bacterium is positive for the ability to utilize Glucose The unknown bacterium is negative for the ability to utilize Lactose The unknown bacterium is negative for the ability to utilize Glucose The unknown bacterium is positive for gas production from carbohydrate metabolism The unknown bacterium is positive for hydrogen sulfide production from carbohydrate metabolism The unknown bacterium is negative for gas production from carbohydrate metabolism The unknown bacterium is negative for hydrogen sulfide production from

2 Find the sine cosine and tangent for ZB 26 10 B 3 Find the sine cosine and tangent for ZC 20

Use the appropriate trigonometric function to find the value of of x in each triangle round sides to the nearest tenth and angles to the nearest degree Don t forget units 4 5 9 in 6 in x 41th 11 ft 6 64 m 31 m X

7 yd 8 10 m 56 9 Find w and x 32 W 10 ft 8 ft

Containment Type here

1 Complete using hypotenuse opposite and adjacent In Sin A Cos A Tan A A Sin A Cos A Tan TII

Student s t table use the closest d f that is smaller In some situations this choice of d f may increase the P value by a small amount and therefore produce a slightly more conservative answer In an effort to determine if rats perform certain tasks more quickly if offered larger rewards the following experiment was performed On day 1 a group of three rats was given a reward of one food pellet each time they ran a maze A second group of three rats was given a reward of five food pellets each time they ran the maze On day 2 the groups were reversed so the first group now got five food pellets for running the maze and the second group got only one pellet for running the same maze The average times in seconds for each rat to run the maze 30 times are shown in the following table A B C D E F Time with one food pellet 3 8 4 4 3 0 3 1 3 5 Time with five food pellets 3 1 3 5 2 8 3 3 2 8 3 0 Rat USE SALT H Do these data indicate that rats receiving larger rewards tend to run the maze in less time Use a 5 level of significance Let d one five a What is the level of significance 0 05 State the null and alternate hypotheses Enter for as needed Ho x X X Will you use a left tailed right tailed or two tailed test Otwo tailed left tailed Oright tailed 3 9 b What sampling distribution will you use What assumptions are you making We ll use the standard normal We assume that d has an approximately uniform distribution We ll use the Student s t We assume that d has an approximately normal distribution We ll use the Student s t We assume that d has an approximately uniform distribution We ll use the standard normal We assume that d has an approximately normal distribution What is the t value of the sample test statistic Round your answer to two decimal places c Find or estimate the P value OP value 0 250 0 125 P value 0 250 0 050 P value 0 125 0 025 P value 0 050 0 005 P value 0 025 P value 0 005

Type here Space Tyne horo

Korean War 1950 Type here Truman Doctrine Type here Marshall Plan

Two coins are tossed Assume that each event is equally likely to occur a Use the counting principle to determine the number of sample points in the sample space b Construct a tree diagram and list the sample space c Determine the probability that no tails are tossed d Determine the probability that exactly one tail is tossed e Determine the probability that two tails are tossed f Determine the probability that at least one tail is tossed www What is the sample space Choose the correct answer below A HH HT TH TT B H T OC H T H T OD H T HH HT TH TT c The probability that no tails are tossed is Simplify your answer

Of Rights mere National Defense Interstate Highways Act Type here Segregatio Type here

Explain the start of the Cold War America vs Communism Type here Foreign Policy President Truman Type here President Eisenhower

A box contains three cards On one card there is a rectangle R on another card there is an apple A and on the third card there is a sun S Two cards are to be selected at random with replacement Complete parts a through e below SKA List the sample space Choose the correct answer below O A RR RA RS AR AA AS SR SA SS OB RA AS SR OC RA RS AR AS SR SA O D RR RA RS SR SA SS A s A S R A S S SP R A

16 If g is a differentiable function such that g x 0 for all real numbers x and if f x x 4 g x which of the following is true A f has relative maxima at x 2 and x 2 B f has relative minima at x 2 and x 2 C f has a relative minimum at x 2 and a relative maximum at x 2 D has a relative maximum at x 2 and a relative minimum at x 2

Simplify the following radicals 360x b 24a b

2 Write the following as entire radicals a 3x 4x b 2 4y 2y

7 Determine the linear mapping T R3 R3 that maps the basis vectors 0 1 1 1 0 1 1 1 0 of R3 to the vectors 2 1 1 1 2 1 1 1 2 respectively Find Ker T and Im T Verify dim Ker T dim Im T 3 CD3

Show your work for possible partial credit Give units for your answers Round to the nearest tenth 1 3 The ages in years of students in a study group are 17 28 34 41 17 23 1 Find the mean 2 Find the median ring 2024 3 Find the mode ue or False 4 The mean is the measure of central tendency most likely to be affected by an extreme data value 5 Some quantitative data sets do not have medians

Would you favor spending more federal tax money on the arts Of a random sample of n 230 women 66 responded yes Another random sample of n 170 men showed that r 53 responded yes Does this information indicate a difference either way between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts Use 0 05 a What is the level of significance 0 05 State the null and alternate hypotheses Enter for as needed Ho P1 P USE SALT H P P b What sampling distribution will you use What assumptions are you making O It follows the Student s t sampling distribution The number of trials is sufficiently large It follows the standard normal sampling distribution We assume the population distributions are approximately normal Use the sample test statistic to find the corresponding z or t value as appropriate Test the difference p P Round your final answer to two decimal places O O It follows the Student s t sampling distribution We assume the population distributions are approximately normal O It follows the standard normal sampling distribution The number of trials is sufficiently large c Find the P value Round your answer to four decimal places P value O Sketch the sampling distribution and show the area corresponding to the P value 3 2 1 3 2 1 0 0 1 2 1 2 3 3 GO 00 2 3 3 1 0 1 2 3 0 1 2 1 2 3 G

From the list shown Steve will purchase one appetizer one beverage and one dessert at random to bring to a party Complete parts a through e a Determine the number of points in the sample space The number of points in the sample space is Appetizer Chips and dip D Vegetable tray V Cheese plate C Beverage Lemonade L Soda S Dessert Brownies B Cake K Ice cream 1

The Flotterons plan to purchase paint for the walls and for the trim in their living room They select one color for the walls and one color for the trim at random from following colors Walls Taupe Mahogany Chocolate Sable Trim Vanilla Eggshell Alabaster Oyster Complete parts a through e a Determine the number of points in the sample space points in the sample space There are

Express the given function h as a composition of two functions f and g so that h x fog x where one of the functions is x 5 h x x 5 f x Simplify your

Express the given function h as a composition of two functions f and g so that h x fog x where one of the functions is x 5 h x x 5 f x Simplify your answer

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Metropol Mor Shstrepol gol Metropol Motropol Brupal Mopol Pateget tortor Metropol Misticbol Mat Starrodof th ropol Matropol Metropol Matropetropol empol of terro D 625 E 2500 10 filetropol Metropol Mel 5x 1 Metropol Metropol Mexy toleipknopal Metropol Visi Metropol Met Metropal Netideal w detros detrong the trbool Moral Metropol Metropol Med Met bot tropol Metropot Mot

Each movement of a composer s piano sonatas is divided into two parts the exposition and the development and recapitulation The lengths in measures of the firs part a and the second part b of each movement are given in the table below The ratio of the length of the whole movement to the length of the longer segment is a b b a Compute this ratio for the given data Round to four decimal places as needed a length of first part b length of second part 64 39 Ratio www

4 a a go 30 b 10 b 5 a b 30 a 4 5 b 60 answer must be in simple r 6 X 12 30 x y 6

For a perfectly symmetrical distribution with a median of 30 what is the value of the mean O less than 20 O greater than 30 20 to 29 5 30

Find a basis for the nullspace of the matrix A 4 3 1 4 3 2 8 10

7 10 H D P V y 60 8 X y 60 go y 7 30 X bi X 5 6 3 60 X 17 9 y y

A researcher is measuring the amount of time needed to solve a set of anagrams for a sample of n 15 students However one of the participants fails to solve the problems so the researcher has an undetermined score What is the best measure of central tendency for these data mode O weighted mean mean median

A sample of n 4 scores has a mean of M 8 If one new score with a value of X 3 is added to the sample what will be the value for the new mean O M 11 0 OM 7 0 OM 8 0 OM 8 8

If a sample has an odd number of scores at least one individual will have a score exactly equal to the median O False True

A distribution is positively skewed Which is the most probable order from smallest to largest for the three measures of central tendency O mean median mode O median mean mode O mode median mean O mean mode median

There are situations for which it is either impossible to compute a mean or the mean does no provide a central representative value True O False

For a set of scores measured on an ordinal scale the median is the preferred measure of central tendency False True

10 Find the altitude of an equilateral triangle that has side lengths of 7 11 Find the altitude of an equilateral triangle that has side lengths of 2 6 12 Given the altitude of an equilateral triangle is 4 15 find the perimeter of the equilateral triangle

For a negatively skewed distribution with a mean of M 20 what is the most probable value for the median O 20 greater than 20 Oless than 20

In a population of N 6 five of the individuals all have scores that are exactly 1 point above the mean From this information what can you determine about the score for the sixth individual O It is below the mean by 5 points O It is also above the mean by 1 point O It is equal to the mean O It is below the mean by 1 point