College Math - Others Questions

Is it true or false that if the coefficient matrix for a linear system has a determinant that is not equal to zero that

Given A 1 2 2 3 0 1 1 2 2 2 Find the cofactor ca

3 Assume that John s marginal tax rate is 17 percent If a city of Austin bond pays 7 8 percent interest what interest rate would a corporate bond have to offer for John to be indifferent between the two bonds 01 58 51 Multiple Choice 22 10 percent 9 40 percent 7 80 percent 6 47 percent None of the choices are correct

7 Curtis invests 650 000 in a city of Athens bond that pays 8 75 percent interest Alternatively Curtis could have invested the 650 000 in a bond recently issued by Initech Incorporated that pays 10 00 percent interest with similar risk as the city of Athens bond Assume that Curtis s marginal tax rate is 24 percent How much explicit tax would Curtis incur on interest earned on the Initech Incorporated bond 01 57 49 Multiple Choice 49 800 00 15 600 00 13 650 00 42 525 00

21 01 42 21 Which of the following is a tax i A 1 percent special sales tax for funding local road construction ii A fee paid to the state for a license to practice as an attorney iii An income tax imposed by Philadelphia on persons working within the city limits iv A special property assessment for installing a new water system in the taxpayer s neighborhood Multiple Choice Only III is correct Only I is correct I and III are correct Only IV is correct

05 A common income shifting strategy is to Multiple Choice O O O shift income from low tax rate taxpayers to high tax rate taxpayers shift deductions from low tax rate taxpayers to high tax rate taxpayers shift deductions from high tax rate taxpayers to low tax rate taxpayers accelerate tax deductions None of the choices are correct

5 Jackson has the choice to invest in city of Mitchell bonds or Sundial Incorporated corporate bonds that pay 7 4 percent interest Jackson is a single taxpayer who earns 70 000 annually Assume that the city of Mitchell bonds and the Sundial Incorporated bonds have similar risk What interest rate would the city of Mitchell have to pay in order to make Jackson indifferent between investing in the city of Mitchell and the Sundial Incorporated bonds for 2023 Use tax rate schedule 01 58 13 Multiple Choice 5 77 percent 7 40 percent 5 97 percent 5 17 percent None of the choices are correct

Leonardo who is married but files separately earns 60 500 of taxable income He also has 15 400 in city of Tulsa bonds His wife Theresa earns 50 400 of taxable income 10 If Leonardo and his wife are married filing jointly in 2023 what is Leonardo and Theresa s effective tax rate for 2023 Use tax rate schedule Note Round your final answer to two decimal places 01 57 03 Multiple Choice 12 00 percent 15 53 percent 17 83 percent 22 00 percent

The failure to properly record an adjusting entry to accrue an expense will result in an overstatement of expenses and an understatement of assets O understatement of expenses and an overstatement of liabilities O understatement of expenses and an overstatement of assets O understatement of expenses and an understatement of liabilities

So my current grade is 91 94 My midterm is weight 25 On the midterm I got 30 100 30 So what grade do I get after midterm B And what if I got 20 100 20 Please calculate both

Which of the following statements best describes the purpose of closing entries O To complete the record of various transactions that were started in a prior period O To faciliate posting and taking a trial balance O To determine the amount of net income or net loss for the following period O To reduce the balances of revenue and expense accounts to zero so that they may be used to accumulate the revenues and expenses of the next period

Recording the adjusting entry for depreciation has the same effect as recording the adjusting entry for O an accrued revenue O a prepaid expense an unearned revenue an accrued expense

The double entry accounting system means Each transaction is recorded with two journal entries O Each item is recorded in a journal entry then in a general ledger account O The dual effect of each transaction is recorded with a debit and a credit O None of these answer choices are correct

An adjusting entry to record an accrued expense involves a debit to a an expense account and a credit to a prepaid account expense account and a credit to a liability account O liability account and a credit to an expense account O expense account and a credit to Cash

ent Attempt in Progress Stockholders equity is not affected by all O dividends expenses O cash receipts revenues

A Eliminate the arbitrary constants of y C sin 2x C cos 2x 3x B Prove that y 2 x 1 c is a solution of x 1 y y2 0

3 1 A 520 ft long equal tangent crest vertical curve connects tangents that intersect at station 340 00 and elevation 1325 ft The initial grade is 4 0 and the final grade is 2 5 Determine the elevation and stationing of the high point PVC and PVT

road with lanes A is known to s 520 ft and the PI is 2600 whicle speed the ave a coefficient 3 52 A freeway exit ramp has a single lane and consists entirely of a horizontal curve with a central angle of 90 degrees and a length of 628 ft If the distance cleared from the centerline for sight distance is 19 4 ft what design speed was used 252 Fox 10

to provide for uidelines dictate t ft What is the curve ne highway 10 h with a 6 f the curve is 35 3 49 You are asked to design a horizontal curve with a 40 degree central angle A 40 for a two lane road with 11 ft lanes The design speed is 70 mi h and superelevation is limited to 0 06 ft ft Give the radius degree of curvature and length of curve that you would recommend

ed for o final s eye that is 3 11 An equal tangent crest vertical curve is designed with a PVI at station 110 00 elevation 927 2 ft and a PVC at station 107 43 3 elevation 921 55 ft If the high point is at station 110 75 5 what is the design speed of the curve 3 12 An equal tangent crest vertical curve connects a

designed for 70 mi h What is the station of the PT 3 44 A horizontal curve is being designed through mountainous terrain for a four lane road with lanes that are 10 ft wide The central angle A is known to be 40 degrees the tangent distance is 520 ft and the stationing of the tangent intersection PI is 2600 00 Under specified conditions and vehicle speed the roadway surface is determined to have a coefficient of side friction of 0 08 and the curve s superelevation is 0 09 ft ft What is the stationing of the PC and PT and what is the safe vehicle speed

3 43 A horizontal curve on a single lane highway has its PC at station 123 70 and its PI at station 130 90 The curve has a superelevation of 0 06 ft ft and is designed for 70 mi h What is the station of the PT ramp is 45 m of the how m

f the curve and has an 1 0 The t a point on 245 ft What What is the 3 13 A 1200 ft equal tangent crest vertical curve is SS currently designed for 50 mi h A civil engineering student contends that 60 mi h is safe in a van because of the higher driver s eye height If all other design inputs are standard what must the driver s eye height in the van be for the student s claim to be valid

A national newspaper reported that the state with the longest mean life span is Hawaii where the population mean life span is 74 years A random sample of 20 obituary notices in the Honolulu Advertizer gave the following information about life span in years of Honolulu residents X 72 68 81 93 56 19 78 94 83 84 47 66 69 85 97 75 71 86 S 77 USE SALT a Use a calculator with sample mean and standard deviation keys to find and s in years Round your answers to four decimal places x x b Assuming that life span in Honolulu is approximately normally distributed does this information indicate that the population mean life span for Honolulu residents is less than 74 years Use a 5 level of significance 1 What is the level of significance 0 05 27 State the null and alternate hypotheses in years Enter for as needed Ho 74 H X ii What sampling distribution will you use Explain the rationale for your choice of sampling distribution We ll use the standard normal since we assume that x has a normal distribution and is unknown We ll use the standard normal since we assume that x has a normal distribution and a is known We ll use the Student s t since we assume that x has a normal distribution and is unknown We ll use the Student s t since we assume that x has a normal distribution and o is known Compute the appropriate sampling distribution value of the sample test statistic Round your answer to two decimal places iii Estimate the P value P value 0 250 0 100 P value 0 250 0 050 P value 0 100 0 010 P value 0 050 P value 0 010

The Student s t distribution table gives critical values for the Student s t distribution Use an appropriate d f as the row header For a right tailed test the column header is the value of a found in the one tail area row For a left tailed test the column header is the value of a found in the one tail area row but you must change the sign of the critical value t to t For a two tailed test the column header is the value of a from the two tail area row The critical values are the it values shown Pyramid Lake is on the Paiute Indian Reservation in Nevada The lake is famous for cutthroat trout Suppose a friend tells you that the average length of trout caught in Pyramid Lake is 18 9 inches However a survey reported that of a random sample of 46 fish caught the mean length was X 18 3 inches with estimated standard deviation s 2 8 inches Do these data indicate that the average length of a trout caught in Pyramid Lake is less than 18 9 inches Use a 0 05 Solve the problem using the critical region method of testing i e traditional method LAUSE SALT State the null and alternative hypotheses in inches Enter for as needed Ho 18 9 H 18 9 x Calculate the appropriate test statistic Round your answer to two decimal places State the critical region s Round your answers to three decimal places If the test is one tailed enter NONE for the unused region test statistic

from this horse in mg 100 ml The sample mean is x 94 50 Let x be a random variable representing glucose readings taken from Gentle Ben We may assume that x has a normal distribution and we know from past experience that 12 5 The mean glucose level for horses should be 85 mg 100 ml Do these data indicate that Gentle Ben has an overall average glucose level higher than 85 Use a 0 05 95 90 84 103 101 110 86 87 a What is the level of significance 0 05 State the null and alternate hypotheses in mg 100 ml Enter for as needed Ho 85 H 85 Will you use a left tailed right tailed or two tailed test left tailed Oright tailed Otwo tailed X b What sampling distribution will you use Explain the rationale for your choice of sampling distribution We ll use the standard normal since we assume that x has a normal distribution with known Compute the z value of the sample test statistic Round your answer to two decimal places X O We ll use the Student s t since we assume that x has a normal distribution with known o We ll use the Student s t since n is large with unknown o We ll use the standard normal since we assume that x has a normal distribution with unknown c Find the P value Round your answer to four decimal places P value X O Sketch the sampling distribution and show the area corresponding to the P value 3 2 1 0 1 2 3 3 2 1 0 1 2 3 OM 3 2 1 3 2 1 0 1 0 1 2 2 3 3

Unfortunately arsenic occurs naturally in some ground water A mean arsenic level of 8 0 parts per billion ppb is considered safe for agricultural use A well in Texas is used to water cotton crops This well is tested on a regular basis for arsenic A random sample of 41 tests gave a sample mean of x 7 1 ppb arsenic with s 2 2 ppb Does this information indicate that the mean level of arsenic in this well is less than 8 ppb Use 0 01 LUSE SALT a What is the level of significance 0 01 State the null and alternate hypotheses in parts per billion Enter for as needed Ho 8 H 8 b What sampling distribution will you use Explain the rationale for your choice of sampling distribution We ll use the standard normal since the sample size is large and is known We ll use the Student s t since the sample size is large and o is unknown We ll use the standard normal since the sample size is large and is unknown We ll use the Student s t since the sample size is large and o is known Compute the appropriate sampling distribution value of the sample test statistic Round your answer to two decimal places c Estimate the P value P value 0 100 0 050 P value 0 100 0 010 P value 0 050 0 005 P value 0 010 P value 0 005

asset 2 Why is the world a better place because I m in it 3 What is your most vivid memory of my childhood 4 What is the nicest thing I have ever done for you 5 What do you see me doing in 10 years 6 Can you suggest an item that would signify what type of person I am

B Find the quartile of the distribution and draw the boxplot for the given dataset Suppose we have measured 9 females and their heights in inches sorted from smallest to largest are 59 60 62 64 66 67 69 70 72

A A survey was given to 25 students and the number of siblings was tallied in the class find che mean median and mode of the data set that was collected 2 1 2 5 6 2 1 3 1 1 0 2 5 8 1 2 2 4 3 0 2 3 4 4 1

2 Using intervals of numbers The winning Super Bowl scores from 1983 to 2002 are listed in the table Make a frequency table of the data Step 1 Draw a table Label three columns Tally Frequency Cumulative Frequency Step 2 Complete the table using the data Scores 20 28 29 37 38 46 47 55 Winning Scores 20 34 23 34 31 35 27 49 30 52 37 20 55 20 42 39 46 38 38 27 How to Make a Histogram Example Use the date from Example 2 Super Bowl scores to create a histogram Step 1 Draw and label the axes Remember the x axis will be intervals Step 2 Draw a bar to represent the frequency of each interval

1 Using categories Kaley asked her classmates about their favorite types of music The results are shown in the chart provided Make a frequency table of the data then answer the questions below Step 1 Draw a table Label three columns Tally Frequency Cumulative Frequency Step 2 Complete the table using the data Music Rock R Jazz J Country C Top 40 F Rap P a What is the most popular type of music b What is the least popular type of music c How many students were polled Favorite Types of Music PRF PF PFFUD FR F P C F C F C J PP P J RR F RPP F

The solution of 15 x 1 is Select one O A 4 or 6 OB 2 or 1 00 C 4 6 OD 4 6

2 On Tanya s phone bill 60 out of the 75 long distance calls were in state of the in state calls were to her parents What fraction of all of her long distance calls were to her parents How many calls were to her parents What fraction of all of her long distance calls were to her parents 8 15 Simplify your answer Type an integer or a fraction How many calls were to her parents Simplify your answer Type an integer or a fraction www of her long distance calls

5 7 49 OA Multiply the first numerator by the second denominator to get the new numerator and multiply the second numerator by the first denominator to get the new denominator B Add the numerators to get the new numerator and add the denominators to get the new denominator C Multiply the numerators to get the new numerator and multiply the denominators to get the new denominato OD Multiply the first numerator by the second denominator and multiply the second numerator by the first denominator and then find the sum of these two products Set up the multiplication 5 7 5 7 49 4

Manually execute one iteration of the secant method using the initial approximations 1 and x 0 0 to ascertain a solution of tan x 0 1 where x is expressed in radians Following this single iteration provide the precise values of your solution estimate x 1 its estimated relative error and express the tolerance in function as a decimal floating point number in engineering notation with 7 mantissa digits

Question 24 of 26 1 point I Question Attempt 1 of Unlimited Use transformations to graph the function f x x 4 6

1 Question 20 of 26 1 point I Question Attempt 1 of Unlimited Use the graph of y g x to graph the given function TO 1 y g x y g x 3 2 34 V

Is the nal cri rate really going dow sociologists say yes They say that the reason for the rates the 1980s and 1990s is demographics It seems that the population is aging and older people commit fewer crimes According t the FBI and the Justice Department 70 of all arrests are of males aged 15 to 34 years Suppose you are a sociologist in Rock Springs Wyoming and a random sample of police files showed that of 36 arrests last month 22 were of males aged 15 to 34 ye Use a 1 level of significance to test the claim that the population proportion of such arrests is the city different from 70 Solv the problem using the critical region method of testing Since the sampling distribution of p is the normal distribution you can u critical values from the table below Hypothesis Testing Critical Values z Level of Significance Critical value z for a left tailed test Critical value z for a right tailed test Critical value z for a two tailed test H USE SALT a 0 05 a 0 01 1 645 1 645 1 96 2 33 State the null and alternative hypotheses Enter for as needed Ho p 0 70 2 33 2 58

USA Today reported that about 47 of the general consumer population in the United States is loyal to the automobile manufacturer of their choice Suppose Chevrolet did a study of a random sample of 1009 Chevrolet owners and found that 486 said they would buy another Chevrolet Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47 Use a 0 01 a What is the level of significance 0 01 USE SALT State the null and alternate hypotheses Enter for as needed Ho P 0 47 H P 0 47 b What sampling distribution will you use Do you think the sample size is sufficiently large Explain We ll use the standard normal because the sample size is not sufficiently large since np 5 and nq 5 O We ll use the Student s t because the sample size is sufficiently large since np 5 and ng 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 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 X c Find the P value of the test statistic Round your answer to four decimal places P value x 3 Sketch the sampling distribution and show the area corresponding to the P value 3 2 1 2 1 0 0 1 1 2 2 3 3 O 3 2 1 3 2 0 1 1 0 1 2 2 3 3 n

Fruse in used to assess the similarity among passages of text and sometimes the identity of authors The following information is based on an article by D Wishart and S V Leach appearing in Computer Studies of the Humanities and Verbal Behavior Vol 3 pp 90 99 Syllables were categorized as long or short On analyzing Plato s Republic Wishart and Leach found that about 26 1 of the five syllable sequences are of the type in which two are short and three are long Suppose that Greek archaeologists have found an ancient manuscript dating back to Plato s time about 427 347 B C A random sample of 314 five syllable sequences from the newly discovered manuscript showed that 61 are of the type two short and three long Do the data indicate that the population proportion of this type of five syllable sequence is different either way from the text of Plato s Republic Use a 0 01 LAUSE SALT a What is the level of significance 0 01 State the null and alternate hypotheses Enter for as needed Ho P 0 261 H b What sampling distribution will you use Do you think the sample size is sufficiently large Explain O We ll use the Student s t because the sample size is not sufficiently large since np 5 and nq 5 We ll use the standard normal because the sample size is not 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 We ll use the Student s t because the sample size is sufficiently large since np 5 and ng 5 Use the value of the sample test statistic to find the corresponding z value Round your answer to two decimal places X c Find the P value of the test statistic Round your answer to four decimal places P value x 3 Sketch the sampling distribution and show the area corresponding to the P value 2 1 3 2 1 P value 0 Sylldvic P value 0 1 1 2 2 3 3 A graph has a horizontal axis with values from 3 5 to 3 5 The curve enters the window from the left just above the horizontal axis goes up and to the right changes direction over approximately 0 on the horizontal axis and then goes down and to the right before exiting the window just above the horizontal axis The area under the curve to the left of 2 7 labeled P value as well as the area under the curve to the right of 2 7 labeled P value are both shaded 3 2 1 0 1 2 3

construct a confidence interval from sample data Let a be the level of significance for a two tailed hypothesis test The following statement applies to hypothesis tests of the mean For a two tailed hypothesis test with level of significance a and null hypothesis Ho k we reject Ho whenever k falls outside the c 1 a confidence interval for based on the sample data When k falls within the c 1 a confidence interval we do not reject Ho A corresponding relationship between confidence intervals and two tailed hypothesis tests also is valid for other parameters such as p M M or P P which we will study in later sections Whenever the value of k given in the null hypothesis falls outside the c 1 alpha confidence interval for the parameter we reject Ho For example consider a two tailed hypothesis test with 0 05 and Hoi H 21 H 21 A random sample of size 13 has a sample mean x 22 from a population with standard deviation 8 a What is the value of c 1 a 0 95 Using the methods of Chapter 7 construct a 1a confidence interval for from the sample data Enter your answer in the form lower limit to upper limit Include the word to Round your numerical answers to two decimal places X What is the value of given in the null hypothesis i e what is k k 21 Is this value in the confidence interval Yes O No Do we reject or fail to reject H based on this information Fail to reject since 21 is not contained in this interval O Fail to reject since 21 is contained in this interval O Reject since 21 is not contained in this interval O Reject since 21 is contained in this interval b Using methods of Chapter 8 find the P value for the hypothesis test Round your answer to four decimal places P value Do we reject or fail to reject Ho O Reject the null hypothesis there is sufficient evidence that differs from 21 O Fail to reject the null hypothesis there is insufficient evidence that differs from 21 O Fail to reject the null hypothesis there is sufficient evidence that differs from 21 O Reject the null hypothesis there is insufficient evidence that differs from 21 Compare your result to that of part a These results are the same O We rejected the null hypothesis in part b but failed to reject the null hypothesis in part a O We rejected the null hypothesis in part a but failed to reject the null hypothesis in part b

In a fishing lodge brochure the lodge advertises that 75 of its guests catch northern pike over 20 pounds Suppose that last summer 63 out of a random sample of 78 guests did in fact catch northern pike weighing over 20 pounds Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75 either higher or lower Use a 0 05 a What is the level of significance 0 05 USE SALT State the null and alternate hypotheses Enter for as needed Ho P 0 75 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 not sufficiently large since np 5 and ng 5 O We ll use the standard normal because the sample size is sufficiently large since np 5 and ng 5 We ll use the Student s t 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 Use the value of the sample test statistic to find the corresponding z value Round your answer to two decimal places X c Find the P value of the test statistic Round your answer to four decimal places X 3 Sketch the sampling distribution and show the area corresponding to the P value 2 1 0 1 3 2 1 0 1 2 2 3 3 O x 3 2 1 3 2 1 0 0 1 1 2 2 3 O 3 Q

Is there a relationship between confidence intervals and two tailed hypothesis tests Let c be the level of confidence used to construct a confidence interval from sample data Let a be the level of significance for a two tailed hypothesis test The following statement applies to hypothesis tests of the mean A corresponding relationship between confidence intervals and two tailed hypothesis tests also is valid for other parameters such as p or P P which we will study later Whenever the value of k given in the null hypothesis falls outside the c 1 a confidence interval for the parameter we reject Ho For example consider a two tailed hypothesis test with a 0 01 and Ho 20 H 20 A random sample of size 33 has a sample mean x 23 from a population with standard deviation 6 a What is the value of c 1 a 0 99 For a two tailed hypothesis test with level of significance a and null hypothesis Ho H k we reject Ho whenever k falls outside the c 1 a confidence interval for based on the sample data When k falls within the c 1 a confidence interval we do not reject Ho Construct a 1 x confidence interval for from the sample data Enter your answer in the form lower limit to upper limit Include the word to Round your numerical answers to two decimal places 20 31 25 69 What is the value of a given in the null hypothesis i e what is k k 20 Is this value in the confidence interval Yes No OO Do we reject or fail to reject H based on this information We fail to reject the null hypothesis since 20 is not contained in this interval We fail to reject the null hypothesis since 20 is contained in this interval We reject the null hypothesis since 20 is not contained in this interval We reject the null hypothesis since 20 is contained in this interval OO 6 Ucing methods of this chanter find the value for the hypothecis test Bound your SOCIOE to four decimal places

By hand perform a single iteration of the secant method with initial guesses x 1 4 and 0 0 to find a solution of tan x 0 1 1 where x is in radians After 1 iteration report the exact values of your solution estimate x and its estimated relative error and the tolerance in function as a decimal floating point number in engineering notation with 7 mantissa digits Required submission Handwritten or printed all steps to obtain the answers incl the final answers submitted to Gradescope

In the figure shown below lines a and b are parallel and line c is a What is the value of x A 6 B 9 C 12 D 18 O A OB 13x 6 11x 30 C E

Two functions are described below Function A A taxi driver charges customers a base amount of 3 00 and also an amount of 2 00 per mile x for a total charge y to a customer Function B The equation y 3x 2 represents the relationship between the number of miles x a taxi travels and the total charge y to a customer Which statement correctly compares the relationship between Function A and Function B A Function A has both a greater rate of change and a greater initial value Function B has both a greater rate of change and a greater initial value Function A has a greater rate of change than Function B but the initial value for Function A is less than the initial value for Function B B C D Function B has a greater rate of change than Function A but the initial value for Function B is less than the initial value for Function A A B C

7 Two points are plotted on a coordinate plane Point A is plotted at 11 8 and point B is plotted at 2 4 What is the distance in units from point A to point B A 13 B 15 1 poi C 145 D 185

6 Write your final answer as a mixed number or improper fraction 1 poin What value of x makes the equation shown below true 24x 33 3 5x 21 9 Show your work

Which expression has a value of 1 A 2 4 B 24 1 C 28 2 2 8 2 D O A O B O C