Questions

A poll showed that 59 2 of Americans say they believe that statistics teachers know the true meaning of life What is the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life Report the answer as a percent rounded to one decimal place accuracy You need not enter the symbol prob

C b a A C B If B 40 C 70 and c 82 km find A and then find a

Use the power rule for logarithms to expand the expression Write your answer simplified form In y2 36 y 2 11 y 6

A single card is drawn from a standard deck of 52 cards What are the odds against drawing an ace Enter your result in lowact

If the probability of the Seattle Mariners winning the World Series is 1 30 What are the odds of the Mariners winning the World Series What is the probability of the Mariners not winning What are the odds of the Mariners not winning

Use the spinner below It is equally likely that the pointer will land on any one of the numbered regions If the pointer lands on the boundary between two regions spin again 30 12 1 11 2 10 9 8 5 7 6 4 Find the probability that the spinner stops on an odd number or a number greater than 3 P an odd number or a number greater than 3 Find the probability that the spinner stops on an even number or a number less than 8

00 S 00 e 2x 1 e 2x dx

A card is drawn randomly from a standard 52 card deck Find the probability of the given event a The card drawn is 6 The probability is b The card drawn is a face card Jack Queen or King The probability is c The card drawn is not a face card The probability is

Suppose you roll a special 30 sided die What is the probability that the number rolled is a 1 OR a 2

7 P Q R are points on the sides BC CA AB respectively of the triangle ABC such that BP CQ AR are respectively one third of BC CA AB Prove that the area of the triangle PQR is one third that of the triangle ABC

8 Select each of the following integral that are importan integrals 3 2 5 a Jos tant c d b x 2 dx c fs 1 of DJ25 1 dx dx e 5 1 3 2 0 x x 9 3 x 3 2 372 16 2 St 197135

A supermarket finds that the number of boxes of a new cereal sold increases each week In the first week only 16 boxes of the cereal were sold In the next week 33 boxes of the cereal were sold and in the third week 50 boxes of the cereal were sold The number of boxes of cereal sold each week represents an arithmetic sequence What is the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n O a 17n 1 O a 17n 33 an 17n 1 O a 17n 33

Which answer is the explicit rule for the sequence 11 8 5 6 3 5 1 O an 13 1 5n O an 13 2 5n An 13 5 2 5n O a 13 5 2 5n

What is the recursive rule for the sequence 2 7 8 3 13 9 19 5 25 1 O an a 1 5 6 where a 2 7 Oana 1 5 6 where a 2 7 O an an 1 5 6 where a 2 7 anan 1 5 6 where a 2 7

Which answer is the explicit rule for the sequence 2 9 16 23 30 an 2 7n O an 5 7n O an 5 7n O a 2 7n

tan 0 cot 0

1 sin 0 3 cot 1 2 tan 0 sec csc e 2

K A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects After treatment with the drug 20 subjects had a mean wake time of 95 2 min and a standard deviation of 44 5 min Assume that the 20 sample values appear to be from a normally distributed population and construct a 95 confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments Does the result indicate whether the treatment is effective Find the confidence interval estimate min min Round to two decimal places as needed

sin a sin sin a sin cos a cos C B

sin A cos B FA DB cos A sin B cos A cos B

Symposium is part of a larger work referred to as Plato s Dialogues Wishart and Leacht found that about 21 4 of five syllable sequences in Symposium are of the type in which four are short and one is long Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato s Dialogues A random sample of 490 five syllable sequences from this manuscript showed that 127 were of the type four short and one long Do the data indicate that the population proportion of this type of five syllable sequence is higher than that found in Plato s Symposium Use a 0 01 USE SALT a What is the level of significance State the null and alternate hypotheses Enter for as needed Ho H b What sampling distribution will you use Do you think the sample size is sufficiently large Explain We ll use the Student s t because the sample size is sufficiently large since np 5 and nq 5 We ll use the standard normal because the sample size is sufficiently large since np 5 and nq 5 O We ll use the standard normal because the sample size is not sufficiently large since np 5 and nq 5 We ll use the Student s t because the sample size is not sufficiently large since np 5 and nq 5 Use the value of the sample test statistic to find the corresponding z value Round your answer to two decimal places c Find the P value of the test statistic Round your answer to four decimal places

Bonita Industries factors 5500000 of its accounts receivables without recourse for a finance charge of 6 The finance company retains an amount equal to 9 of the accounts receivable for possible adjustments What would be recorded as a gain loss on the transfer of receivables O Loss of 330000 O Loss of 1071000 O Gain of 576000 O Loss of 246000

At the end of 2020 Metlock Company has accounts receivable of 752 000 and an allowance for doubtful accounts of 37 600 On January 16 2021 Metlock Company determined that its receivable from Ramirez Company of 5 640 will not be collected and management authorized its write off a Prepare the journal entry for Metlock Company to write off the Ramirez receivable If no entry is required select No Entry for the account titles and enter O for the amounts Credit account titles are automatically indented when the amount is entered Do not indent manually Date Jan 16 2021 Account Titles and Explanation Debit Credit

AB A 8 BE 6 ED B C DC 2 AC 8 6 4 2 02 4 2 P 4 E D A 6

8 2 d x x2 2 AB BC 8 6 4 2 0 CD 2 B C DE 4 A D EF H E 6 FG 8 GH G F AH P A

46 9ft 4ft perimeter and area of each composite figure Round answers to nearest hundredths 2 15cm 3ft P 6ft 49 A 6 cm P 7cm A 2cm

Graph the following equation and identify the y intercept y x 5 Use the graphing tool on the right to graph the equation Click to enlarge graph The y intercept is Type an ordered pair 7 Ay 20 16 2 12 A

Find all values of x in interval 0 2 for which 1 cos x 2 2 tan x 3

5 3 1 cm P 3 4 cm A 3 8 cm 3 7 cm 13 in 15 in 5 in 2 in P A

nd the slope or pitch of the roof Hint The pitch of a roof is positive the roof is Type an integer or a simplified fraction Type a positive number 2 8 ft 8 2 ft

Graph the inequality y x 1 Use the graphing tool on the right to graph the inequality 10 8 6 4 2 Ay X Click to 10 B 2 10 enlarge graph 2 4 6 8

2 In the adjacent figure x xOy is an angle Ox B C perpendicular to Ox and Oy perpendicular to O Oy A is a point of Ox and B is a point of Ox such that OA OB C is a y X point of Oy and D is a D point of Oy such that OC OD 1 Compare angles AOD and BOC 2 Prove that AD BC y 3 points 3 points

nd the missing angle 0 7 Find LA 15 11 C B C 25 25 28 62 A 8 Find side length z Z 7 m 26 Z 14 m

6 y 5x 4 Use the graphing tool to graph the line Use the slope and y intercept when drawing the line Click to

Multiple Choice Circle the most appropriate answer 1K mark each 1 The tangent ratio is between which two sides Opposite Adjacent Opposite b Hypotenuse Adjacent c Hypotenuse Adjacent d Opposite 2 Given the triangle below what would be the most appropriate solving technique to find x a Sine Law b Cosine Law c SOHCAHTOA d Pythagorean Theorem 6 3

10 Find the height h of the mountain to the nearest kilometer Note AABD is not a right triangle B 38 53 D 33 42 6 km A

1 Find cos 105

9 A 10m ladder leans against a vertical wall at an angle of 63 Find the height the ladder reaches up the wall Draw and label a sketch to represent this situation

5 Playing a game with a pair of dice you win 10 if you roll a 2 or a 6 and you pay 2 if you roll anything else Initially you pay nothing to roll the dice Expected Value Is this a fair game

Blood Glucose Homeostasis Word Bank A Fasting B Eating C Blood glucose levels increase D Decrease insulin increase glucagon E Blood glucose levels decrease F Liver G Decrease glycogenolysis gluconeogenesis glucose making H Increase glucose uptake I Pancreas J Cells K Increase glycogenolysis gluconeogenesis glucose making Blood Glucose Homeostasis Glucose levels rise Blood glucose level 70 130 mg dL insulin glucagon Sensor A Glucose levels fall Liver effectors insulin glucagon effectors Cells Reduce Glucose uptake

Write the equation for the graph The correct equation is 6 Ay 6

Determine whether the graphs of the pair of lines are parallel 3x y 9 2y 6x 2 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The slope of the line 3x y 9 is OB The slope of the line 3x y 9 is undefined Select the correct choice below and if necessary fill in the answer box to complete your choice OA The slope of the line 2y 6x 2 is OB The slope of the line 2y 6x 2 is undefined Are the graphs of the given equations parallel No Yes

2 Find sin 75

commensalism Small marine animals called barnacles often attach themselves to whales The barnacle benefits from the movement of the water full of food particles past their swimming hosts Although barnacles perform no known service to whales they don t harm them either Which number is true or false 1 The whale benefits the barnacle 2 The barnacle benefits the

4 Playing a game with a pair of dice you win 5 if you roll a 7 or an 11 and you pay 2 if you roll anything else Initially you pay nothing to roll the dice What is the expected value of this game Expected Value S

1 3 Playing a game with a pair of dice you win 2 if you roll a 7 or an 11 You pay 5 to roll the dice each time What is the expected value of this game

There is a game with bottles set up at a carnival There are a total of 15 colored bottles with either the word WIN or the word LOSE printed on the bottom 4 bottles are marked WIN and 11 bottles are marked LOSE The ticket cost for this game is 2 The rule is that the person places a ring around there selected bottle If the bottle has the word WIN on the bottom the player wins 8 What is the expected payoff for a player

8 Compare the function g x modeled by the graph and the function f x 2x 21 3 True or false Explain a f x has a greater y intercept b g 1 f 1 c f x increases at a faster rate than g x over interval 0 3

Students estimated the length of one minute without reference to a watch or clock and the times seconds are listed below Assume that a simple random sample ha been selected Use a 0 05 significance level to test the claim that these times are from a population with a mean equal to 60 seconds Does it appear that students ar reasonably good at estimating one minute 70 81 40 67 47 65 8f 66 41 70 97 28 22 59 63 90 65 99 Perform the test assuming that the requirements are met Identify the null and alternative hypotheses Ho H Type integers or decimals Do not round

1 Graph both functions to find the solution s to the system 2x 2 f x g x x 2x 3 4 tonify the relative minim 22 3 6543 21 2 66 4 3 2 1 2 44443 2345