Math - Others Questions

Draw a stem and leaf plot for the data set Enter numbers from smallest to largest separated by spaces Enter NONE for stems with no values Data set A The annual wages of employees at a small accounting firm are given in thousands of dollars 16 25 24 31 37 50 22 32 32 60 23 31 16 11 22 24 25 37 50 x 2 16 31 32 3 112272 NONE 0 456 NONE XXX X

Use the formula in this example to determine the sample size n The estimated prevalence is 25 and the desired confidence level is 95 with a margin of error of 5 This is the same as in the example except the margin of error has been changed Round your answer to the nearest integer n 288 72

Draw a stem and leaf plot for the data set Enter numbers from smallest to largest separated by spaces Enter NONE for stems with no values Data set A The annual wages of employees at a small accounting firm are given in thousands of dollars 16 25 24 31 37 50 22 32 32 60 23 31 16 1 2 3 4 5 6

T Use the graph to solve the equation tan 3x cos 2x if 0 x 44 Use decimal notation Give your answer to at least two decimal places

1 point Consider the relations R R R3 R R5 on A R 1 2 2 1 R 2 2 2 3 2 4 3 2 3 3 3 4 R3 1 1 1 2 2 1 2 2 3 3 4 4 R 1 2 2 3 3 4 R 1 1 2 2 3 3 4 4 Determine which of the following statements are true Select all that apply DA R is not symmetric OB R is reflexive OC R is symmetric DD R is transitive DE R is reflexive OF R is transitive G R is not reflexive OH R is reflexive DI R is transitive 3 4 defined by J R3 is not transitive OK R is symmetric

What percent of the total population is found between the mean and the z score given Use the standard normal distribution table and enter your answer to two decimal places z 3 32 X 49 95

A normal distribution has a mean of 85 5 and a standard deviation of 4 83 Find the data value corresponding to the value of z given Enter your answer to four decimal places Z 0 65 X 88 972

O Macmillan Lea 75 0 5 x sin 4x COS 0 25 0 0 25 T 0 25 8 0 5 Use the graph to find the solution of the equation on the specified interval 7 if 0 x Use decimal notation Give your answer to two decimal places 0 75 X powered W desmas

California renews the registration for an automobile the bar graph shown below is included with the bill Use this bar graph to answer the question The following statement is ncluded with the graph There is no safe way to drive after drinking These charts show that a few drinks can make you an unsafe driver They show that drinking affects your BLOOD ALCOHOL CONCENTRATION BAC The BAC zones for various numbers of drinks and time periods are printed in white gray and red HOW TO USE THESE CHARTS First find the chart that includes your weight For example if you weigh 160 lbs use the 150 to 169 chart Then look under Total Drinks at the 2 on this 150 to 169 chart Now look below the 2 drinks in the row for 1 hour You l your BAC is in the gray shaded zone This means that if you drive after 2 drinks in 1 hour you could be arrested In the gray zone your chances of having an accident are 5 times higher t you had no drinks But if you had 4 drinks in 1 hour your BAC would be in the red shaded area and your chances of having an accident 25 times higher BAC Zones 90 to 109 lbs TOTAL DRINKS 110 to 129 lbs TOTAL DRINKS 130 to 149 lbs TOTAL DRINKS TIME FROM 1st DRINK 12345678123456781234567812345678 1 hr 2 hrs 3 hrs 4 hrs 190 to 209 lbs TOTAL DRINKS BAC Zones 170 to 189 lbs TIME FROM 1st TOTAL DRINKS DRINK 12345678123456781234567812345678 1 hr 2 hrs 3 hrs 4 hrs SHADINGS IN THE CHARTS ABOVE MEAN 01 04 Seldom illegal 150 to 169 lbs TOTAL DRINKS 210 to 229 lbs TOTAL DRINKS 05 09 May be illegal 05 09 Illegal if under 18 yrs old Blood alcohol concentration BAC charts ou weigh 140 pounds how many drinks in four hours would you need to drink to 230 lbs up TOTAL DRINKS 10 Up Definitely illegal

Would you trust Al diagnostics to asses test results for a critical illness in you or a loved one What about if this was a mature technology Do you believe that physicians will become depending on mature Al diagnostic technology the same way that we have become dependant on spellcheck

1 point Consider the relations R R R3 R R5 on A R 1 2 2 1 R 2 2 2 3 2 4 3 2 3 3 3 4 R3 1 1 1 2 2 1 2 2 3 3 4 4 R 1 2 2 3 3 4 R 1 1 2 2 3 3 4 4 Determine which of the following statements are true Select all that apply DA R is not symmetric OB R is reflexive OC R is symmetric DD R is transitive DE R is reflexive OF R is transitive G R is not reflexive OH R is reflexive DI R is transitive 3 4 defined by J R3 is not transitive OK R is symmetric

Complete the passage to establish the identity 1 cos 2x 1 cos 2x 2 sec x Use double angle formulas 2 sec x

3 Let t 2n and cos t Use a half angle formula to find cos 2 4 1 Give an exact answer Use symbolic notation and fractions where needed COS 7 2

A store orders tubes of glue in the proportions shown in the following table Find the cumulative distribution for the table Size oz 2 6 8 12 16 Proportion 0 28 0 14 0 34 0 06 0 18 Cumulative Percent Find the mean median and mode for the table If an answer does not exist enter DNE Round your mean to two decimal place mean median mode

Given the information find the equation for the least squares line as well as the correlation coefficient Round your values to two decimal places n 10 10 Ex 57 y 1 Exy 13 Ex 353 y 4 45 y

Find the standard deviation rounded to the nearest unit for the data indicated Test Score 90 80 70 60 50 Frequency 69826

A normal distribution has a mean of 85 5 and a standard deviation of 4 83 Find the data value corresponding to the value of z given Enter your answer to four decimal places z 0 65

What percent of the total population is found between the mean and the z score given Use the standard normal distribution table and enter your answer to two decimal places z 3 32

rt 1 of 2 nts Skipped eBook Print ferences Required Identify each cost as either a product cost or a period cost If a product cost classify it as direct materials direct labor or factory overhead If a period cost classify it as a selling expense or a general and administrative expense Note Leave no cell blank Enter NA Not a product cost or NA Not a period cost for expenses that are not product cost or period cost Costs 1 Advertising expense 2 Depreciation expense Office equipment 3 Depreciation expense Selling equipment 4 Depreciation expense Factory equipment 5 Raw materials purchases all direct materials 6 Maintenance expense Factory equipment 7 Factory utilities 8 Direct labor 9 Indirect labor 10 Office salaries expense 11 Rent expense Office space 12 Rent expense Selling space 13 Rent expense Factory building 14 Sales salaries expense Type of Product Cost Type of Period Cost

At a well known major university the career choices of 1 500 graduates from an MS program are shown Nuclear industry 6 Industry other than National laboratory nuclear 18 21 Postdoctoral position 21 Continue for Ph D 27 Other research 7 a How many plan to get a job in a national laboratory 270 b How many are planning to continue for a Ph D 405 c How many are planning to enter the nuclear industry or industry other than nuclear 405 d How many are going to continue for a Ph D a postdoctoral position or other research

1 02330 2 88 04300 3 4500 4 00343 5 540500 5 4 3 1 0 022 x 59040 2 5 00 5 3404 CALCULATIONS USING SIGNIFICANT FIGURES 3 120 023 525 3 445 2229 4 66 01 13 89 x 80 5 65 0 0 009000 6 23920 x 1340 6 33 43 7 1 0330 8 525 000 9 9 300 x 104 10 0034300

4 6 1 2 3 5 1 1 004050 2 0 00549500 4 42 050 5 1230 00 6 100 3 5600 7 0 030400 55 604 X 0 0995 O Calculate the following problems and give the answer in correct sig figs 843 00 0 05542 1123 7 554 333 3 24 8854 443 4 125 943 686 000 543 345543 2 0540 0 5540 X x 43 4 8 80 500 9 35 93 10 2 0000 11 123 0200 12 000439300 13 8584 300 14 5432 320 4 400 21 0 08535

THOD ow ER GAS ER 1 Phosphorus 2 ELEMENT 3 Zinc 4 Bromine 5 ATOMIC SYMBOL V W ELECTRON S C

12 Part 2 of 2 3 points Required information Prepare the current year income statement what is correct or incorrect for the work you have completed so far It does not indicate completion LEONE COMPANY Income Statement Sales Cost of goods sold Cost of goods manufactured Finished goods inventory beginning Gross profit Selling expenses Rent expense Salaries expense Net income For Year Ended December 31 Goods available for sale Less Finished goods inventory ending Cost of goods sold 33 3 X X 1 255 500 X 57 000 1 312 500 65 000 2 331 000 1 247 500 1 083 500 426 000 55 000 X 317 000 X 285 500 Return to q

pped Book Hint Print erences Required 1 Required 2 Compute cost of goods sold for the year BECK MANUFACTURING Partial Income Statement For Year Ended December 31 Cost of goods sold Goods available for sale Cost of goods sold 0 0

3 of 3 Dok int ant ences Repairs Factory equipment Raw materials purchases Selling expenses Sales Cash Accounts receivable net 1 Complete the table to find the cost of goods manufactured for both Garcon Company and Pepper Company for the year ended December 31 Required 1 Required 2 2 Complete the table to calculate the cost of goods sold for both Garcon Company and Pepper Company for the year ended December 31 Complete this question by entering your answers in the tabs below Goods available for sale 5 180 41 500 50 800 Cost of goods sold 294 960 29 000 13 200 Complete the table to calculate the cost of goods sold for both Garcon Company and Pepper Company for the year ended December 31 Garcon Company 2 100 61 500 48 100 386 570 22 200 24 200 0 S Pepper Company 0 Ch

nts Skipped eBook Hint Print erences Required 1 Required 2 Direct materials Prepare the schedule of cost of goods manufactured for the year Beck Manufacturing Schedule of Cost of Goods Manufactured For Year Ended December 31 Raw materials available for use Direct materials used Factory overhead Total manufacturing costs Total cost of work in process vers in the tabs below Cost of goods manufactured 0 39 0 0 0 0

13 nts Ending inventory Merchandise Finished goods mode This shows what is correct or incorrect for the work you have completed so far It does not indicate completion 180 000 Required Prepare the cost of goods sold section of the income statement for each company Merchandising Manufacturing Business Business Complete this question by entering your answers in the tabs below Cost of goods sold Finished goods inventory beginning Add Cost of goods manufactured Goods available for sale Add Finished goods inventory ending Cost of goods cold Answer is complete but not entirely correct Prepare the cost of goods sold section of the income statement for the Manufacturing Business Cost of Goods Sold for the Year 230 000 x 597 000 X 917 000 1 514 000 687 000 X Help Save Exit Return to qu

Goodwin 13 The profit of a candy store can be modelled by the following equation P n 3n 48n 45 where n is the number of candy bars sold in thousands and P is the profit in hundreds of dollars a Determine the number of candy bars that need to be sold to make a maximum profit

Direct mail advertisers send solicitations junk mail to thousands of potential customers in the hope that some will buy the company s product The response rate is usually quite low Suppose a company wants to test the response to a new flyer and sends it to 1170 people randomly selected from their mailing list of over 200 000 people They get orders from 142 of the recipients Use this information to complete parts a through di DE a Create a 90 confidence interval for the percentage of people the company contacts who may buy something Round to one decimal place as needed b Explain what this interval means Submit quiz OA The company is 90 confident that the probability a randomly sampled person will respond to the flyer falls within the confidence interval bounds OB The values for the interval bounds should be subtracted from 90 to obtain the company s true confidence level OC The company is 90 confident that the percentage of people who will respond to the flyer falls within the confidence interval bounds OD The company is 90 confident that the percentage of people who will not respond to the flyer falls within the confidence interval bounds c Explain what 90 confidence means OA About 90 of all random samples of size 1170 will produce intervals that contain the true proportion of people who will respond to the new flyer OB About 90 of all random samples will produce intervals that contain the true proportion of people who will respond to the new flyer OC About 90 of all randomly sampled people will respond to the new flyer O D About 90 of all random samples of size 1170 will produce intervals that do not contain the true proportion of people who will respond to the new flyer d The company must decide whether to do a mass mailing The mailing won t be cost effective unless it produces at least a 6 return What does your confidence interval suggest

Q5 find the characteristics of parameter unbiase ECB 8 variance Var i Oras I X FR

sed to help solve many real world problems For example we can use graph colorings to help us solve situations like the one described below There are 8 people enrolled in the Extended Learning classes as part of a summer study abroad program They are taking the classes as shown in the table Mica Psychology Game Design Beatrix Psychology Literature Jamie Sociology Literature Psychology Game Design Hans Farah Callie Ignacio Landry Ethics Sociology Psychology Business Literature Journalism The host university needs to schedule final exams for these students and would like to use the minimum number of time slots required We can use graph theory to help us analyze this situation D Business Psychology Game Design Sociology Literature Ethics We begin by making a graph using the data in the table Draw the following graph on a piece of paper In our graph each vertex represents one of the classes Two vertices are connected if there is a student taking both of those classes Note that if a student is taking both of those classes then those final exams cannot occur at the same time E C F B G Use the graph you drew to determine what is the minimum number of final exam times slots needed so that the people can take all of their final exams Hint Would a vertex coloring or an edge coloring be more useful here Psychology Sociology Ethics In the following table indicate in which final exam time slot each class could be placed i e 1 2 etc

Vitamin D whether ingested as a dietary supplement or produced naturally when sunlight falls upon the skin is essential for strong healthy bones The bone disease rickets was largely eliminated during the 1950s but now there is concern that a generation of children more likely to watch TV or play computer games than spend time outdoors is at increased risk A recent study of 3400 children randomly selected found 21 of them deficient in vitamin D Complete parts a through c below C a Construct a 98 confidence interval for the true proportion of children who are deficient in vitamin D Select the correct choice below and fill in any answer boxes within your choice OA Round to three decimal places as needed OB The conditions of a confidence interval are not satisfied b Explain carefully what the interval means O A We are 98 confident that the proportion of vitamin D deficiency in a randomly sampled child falls within the confidence interval bounds OB We are 98 confident that the proportion of children deficient in vitamin D falls inside the confidence interval bounds O C We are 98 confident that the proportion of people deficient in vitamin D falls inside the confidence interval bounds O D We are 98 confident that the proportion of children deficient in vitamin D is 0 21 c Explain what 98 confidence means About 98 of random samples of size 3400 will produce Submit quiz that contain the of children that are deficient in vitamin D 1

1 Nathalie borrows C6500 lor a motorcycle The loan is for five years al 2 5 interest per annum Find how much Nathalie s monthly payments are

Find the chromatic number of each of the graphs given below

4 14 pts The life expectancy of a microwave oven is normally distributed with an average of 16 7 years and a standard deviation of 3 1 years Round all probabilities to 4 decimal places a Sketch and label a complete normal distribution for this situation include values of 30 I H 30 16 7 3 3 1 16 7 9 3 H 20 16 7 2 3 1 16 7 6 2 H o 16 7 3 1 13 6 years H 16 7 years H 0 16 7 3 1 19 8 years H 20 16 7 2 3 1 16 7 6 2 22 9 years H 30 16 7 3 3 1 16 7 9 3 26 0 years 7 4 years I 10 2 years I 7 4 10 5 12 7 13 6 16 7 b Find the probability of buying a microwave that lasts for more than 24 years Label this value shade in this area in the distribution above to show the connection to the probability you calculate P x 24 P z 2 35 1 P Z 2 35 0 0094 c Find the probability of buying a microwave that lasts for less than 13 years P x 13 P Z 1 19 1 P z 1 19 0 1170 center of distribution d Find the probability of buying a microwave that lasts between 12 and 19 years P 12 x 19 P 1 516 Z 0 74 P Z 0 74 P Z 1 516 0 7704 0 0643 x 16 7 3 1 0 7061 e If a microwave manufacturer only wants to replace 10 of their microwaves with their warranty about how long should their warranty period be Round to the nearest year Sketch label this area value on your distribution from part a to make the connection to the value you calculate P z 1 2816 0 10 Their warranty period should be about 13 years x 12 73 f How long do the top 1 of microwaves last Round to 2 decimal places 16 7 2 35 x 16 7 2 35 3 1 X 23 985 19 8 22 9 24 0 The top 1 microwaves will last for more than 23 99 years g The middle 50 of microwaves last for how many years note your solution is a range of values here Round to 2 decimal places 2

Marek invested PLN 4500 Polish z oty in a bank that paid interest per annum compounded quarterly After six years he had PLN 5179 27 in the bank Find the interest rale

Silvia is left an annuity of US 4000 in her uncle s will The annuity is for five years at 4 per annum and is to be paid out monthly Find the monthly payments

Wei invested SGD 3000 Singapore dollars in a bank that paid 2 35 interest per year compounded monthly Find how much Wel had in the bank after six years b Find the number of years before he had SGD 5000 in the bank

lowing figure depicts the aggregate demand curve AD and the long run aggregate supply curve LRAS for the United States The economy is initially at long run equilibrium at point A In 2015 Mexico was the second largest importer of goods produced in the United States importing approximately 236 billion in goods Now suppose that Mexico experiences a substantial economic boom in 2016 that greatly increases Mexico s demand for U S made products In the figure below first shift the appropriate curve to depict the change in the U S economy that is due to the economic boom in Mexico According to classical economics the economy will self correct Now using your knowledge of classical economics move the equilibrium point to depict the self correction of the economy To refer to the graphing tutorial for this question type please click here COO Price Level P LRASI O

For each of the graphs given below determine how many spanning trees that graph has 1 The graph G shown below Fo A F E A BO 2 The graph G shown below E D B C D C

gine an omic debate among five presidential candidates At the time of the debate the government announces that the economy has entered a recession Assuming each candidate makes one statement about the economy can you tell whether he or she is a classical or a Keynesian economist Items 5 items Drag and drop into the appropriate area below I don t think there s a problem The economy recovers well on its own Categories Workers are unlikely to take pay cuts because of money illusion Rather than increasing government spending the government should do more to stimulate saving Classical Consumer confidence and spending are down The government needs to increase spending We can t wait for the economy to recover After all in the long run we are dead Keynesian

Suppose that a country has a GDP of 3 billion no autonomous consumption and total consumption of 2 90 billion The marginal propensity to consume in this economy is Give your answer to two decimals

aggregate supply curve LRAS for the United States The economy is initially at long run equilibrium at point A The Great Depression was unusual because it was so deep and lasted so long In fact it was actually two separate recessions August 1929 to March 1933 and May 1937 to June 1938 The Great Depression was also characterized by another striking condition Prices across the economy declined throughout the course of the decade In fact at the end of the 1930s the general price level as measured by the GDP deflator was 20 lower than it had been in 1929 Due to the decline in the price level it is evident that the primary cause of the Great Depression was a decline in aggregate In the figure below shift the appropriate curve to reflect your answer choice which would create the outcome of declining prices during the Great Depression To refer to the graphing tutorial for this question type please click here B Price Level P LRASS SRASI AD2

In this chapter you learned about one of the major debates in macroeconomics between cas assical a ical and Keynesian economists whether or not the macroeconomy has a natural adjustment mechanism that brings the economy back to long run equilibrium Which of the following would classical economists believe and which of the following would Keynesian economists believe Items 5 items Drag and drop into the appropriate area below Supply is the key side of the market Categories The long run is the key time period Savings is crucial to economic growth Classical economists Cyclical unemployment is the norm Prices are sticky Keynesian economists

2 Calculating Z Scores Calculate the z scores to determine who scored better based on the following data a In 2020 you took your SATS and received a score of 1200 The average score was 1000 with a standard deviation of 100 In 2021 you took your SATS again and received a 1300 The average score was 1250 with a standard deviation of 50 Calculate the following data to determine if you did better on your SATS in 2020 or 2021 2020 1200 1000 100 2 2021 1300 1250 50 1 1 I

Name the parent function describe the exact transformations to its image Write the coordinate rule of the transformation then write the equation of both the parent function and its image Parent Function Name Description Coordinate Rule Parent f x Image g x 4 3 2 1 4 3 2 2 y It 2 3 4 X

First use the drag tool to shift the appropriate curve or curves demonstrating the change To refer to the graphing tutorial for this question type please click here Price level Change to Consumption The Classical View LRAS2 AD2

Suppose the government injects 1 000 into the economy and the marginal propensity to consume MPC is 0 8 The initial round of spending adds 1 000 to the economy while round 2 adds and round 3 adds

1 point Determine whether each of the following statements is true or false 1 Every graph contains a spanning tree as a subgraph 2 For m n 0 the complete bipartite graph Kmn has nm 1m spanning trees 3 For n 2 the complete graph Kn has n spanning trees 4 Every connected graph contains a spanning tree as a subgrph