Math - Others Questions

2 Use the expanded accounting equation to compute the missing financial statement amounts Complete this question by entering your answers in the tabs below Required 1 Required 2 Use the accounting equation to compute the missing financial statement amounts Company Assets 1 2 3 75 000 CA 11 Liabilities 25 000 85 000 SA Equity 40 000 70 000 20 000 4

listed upgrade tiffes Minutes are being evaluated Samples of five observations each have been taken and the results are as 2 4 3 79 6 78 9 79 4 1 79 2 80 5 78 8 78 7 79 6 80 0 81 0 80 4 78 4 80 4 80 3 79 4 1 0 80 1 80 8 80 6 79 7 Number of Observations in Subgroup n 5 6 7 9 10 11 12 13 14 15 Click here for the Excel Data File Factors for three sigma control limits for and R charts SAMPLE 16 17 18 20 Factor for X Chart A2 1 88 1 02 0 73 0 58 0 48 0 42 0 37 0 34 0 31 0 29 0 27 0 25 0 24 5 80 5 79 6 6 79 7 80 6 80 4 80 5 80 8 80 0 78 8 81 1 0 22 0 21 0 20 0 19 0 19 0 18 FACTORS FOR R CHARTS Lower Control Limit D3 0 0 0 0 0 0 08 0 14 0 18 0 22 0 26 0 28 0 31 0 33 0 35 0 36 0 38 0 39 0 40 0 41 Upper Control Limit 04 3 27 2 57 2 28 2 11 2 00 1 92 1 86 1 82 1 78 1 74 1 72 1 69 1 67 1 65 1 64 1 62 1 61 1 60 1 59

For each of the accompanying control charts analyze the data using both median and up down run tests with z 1 96 limits a Are nonrandom variations present Assume the center line is the long term median UCL LCL Test Median Up Down Conclusion No non random variations are apparent in the data It appears there may be non random variations in the data b Are nonrandom variations present Assume the center line is the long term median

Rolls of coiled wire are monitored using a c chart Twenty rolls have been examined and the number of defects per roll has been recorded in the following table Using the set of 20 observations perform run tests on the data What can you conclude about the data Sample Number of Defects Sample Number of Defects 11 1 2 3 1667599 8 9 10 Test First Second 3 2 5 1 2 2422N 1 2 Conclusion Non random 12 13 14 15 16 17 18 19 20 3 4 2 2 SAWN WI 4 52

Jane got a prepaid debit card with 25 on it For her first purchase with the card she bought some bulk ribbon at a craft store The price of the ribbon was 17 cents per yard If after that purchase there was 22 45 left on the card how many yards of ribbon did Jane buy yards V 6

A process that produces computer chips has a mean of 04 defective chips and a standard deviation of 003 chips The allowable variation is from 038 to 042 defective a Compute the capability index Cp for the process Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places Capability Index b Is the process capable Hint Use 1 33 as the standard capabality index O No Yer

The process specifications are 13 25 and 14 25 minutes Based on the data given does it appear that specifications are being met Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 13 3 13 5 13 6 13 8 13 4 13 3 13 3 14 3 13 8 14 4 13 9 13 6 13 4 Totals 53 9 Yes O No 13 4 54 6 13 5 54 1 13 3 55 0 13 4 13 3 14 0 13 5 54 3

The lower and upper specifications for a software upgrade are 77 minutes and 81 minutes Estimate the percentage of process output that can be expected to fall within the specifications Round your answer to 1 decimal place SAMPLE 3 4 1 2 5 6 79 7 79 2 81 9 79 6 78 9 82 1 82 6 78 7 79 6 80 2 79 6 80 6 80 0 81 0 79 8 79 7 80 4 78 5 78 4 80 4 80 3 79 4 79 7 80 0 81 0 80 1 80 8 80 6 78 8 81 1 stout OF

After a number of complaints about its tech assistance a computer manufacturer examined samples of calls to determine the frequency of wrong advice given to callers Each sample consisted of 100 calls Number of errors 1 2 5 3 UCL LCL 35 4 7 54 66 SAMPLE 7 8 9 10 11 12 13 14 15 16 8 459 3 4 5 6 6 7 Click here for the Excel Data File a Determine 95 percent limits Do not round your intermediate calculations Round your final answers to 2 decimal places Round up any negative control limit value to zero b Is the tech assistance process stable i e in control O The process is in control

Each of the processes listed is non centered with respect to the specifications for that process Standard Deviation Lower Upper Spec 0 32 16 0 1 00 36 5 0 40 20 1 Process H K T Mean 15 0 33 0 18 5 Click here for the Excel Data File Process H Compute the appropriate capability index for each and decide if the process is capable Round your answers to 2 decimal places Spec 14 1 30 0 16 5 Cpk Capable

A process that produces computer chips has a mean of 04 defective chips and a standard deviation of 003 chips The allowable variation is from 038 to 042 defective a Compute the capability index Cp for the process Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places Capability index b Is the process capable Hint Use 1 33 as the standard capabality index O No YOE

The table shows the position of a motorcyclist after accelerating from rest t seconds s feet 0 4 9 10 6 23 1 i 2 4 ii 3 4 iii 4 5 iv 4 6 a Find the average velocity in ft s for each time period ft s flo ft s ft s 0 ft s 1 2 3 4 5 6 50 3 109 3 237 6 b Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity in ft s whe

An electrical contractor s records during the last five weeks indicate the number of job requests Week 1 2 3 4 5 Requests 28 24 22 23 30 Click here for the Excel Data File Predict the number of requests for week 6 using each of these methods a Naive Number of requests b A four period moving average Round your answer to 2 decimal places Number of requests c Exponential smoothing with a 0 25 Use 27 for week 2 forecast Round your intermediate forecast values and final answers

A logistics provider plans to have a new warehouse built to handle increasing demands for its services Although the company is unsure of how much demand there will be it must decide now on the size large or small of the warehouse Preliminary estimates are that if a small warehouse is built and demand is low the monthly income will be 700 000 If demand is high it will have to either expand the facility or lease additional space Leasing will result in a monthly income of 100 000 while expanding will result in a monthly income of 500 000 If a large warehouse is built and demand is low monthly income will only be 40 000 while if demand is high monthly income will be 2 million Using a tree diagram identify the choice that would be made using each of the four approaches for decision making under uncertainty a Maximin O Small warehouse O Large warehouse b Maximax O Large warehouse OSmall warehouse c Laplace Assume the probabilities of low and high demand to be 50 each OSmall warehouse O Large warehouse d Minimax regret

Read the following sentence which contains gra We verified her medical degree none of us thought she was lying about that but not her claim to have given herself a heart transplant we re not that gullible Which revision best corrects the sentence Select one We verified her medical degree none of us thought she was lying about that but not her claim to have given herself a heart transplant we re not that gullible We verified her medical degree none of us thought she was lying about that but not her claim to have given herself a heart transplant we re not that gullible We verified her medical degree none of us thought she was lying about that but not her claim to have given herself a heart transplant we re not that gullible We verified her medical degree none of us thought she was lying about that but not her claim to have given herself a heart transplant we re not that gullible

Compute seasonal relatives for this data using the simple averaging SA method Year 3 Year 4 1 0 7 5 6 Quarter Year 1 11234 2 6 1 4 Quarter 1 Quarter 2 Quarter 3 Quarter 4 Year 2 1 6 4 4 Round all your answers to three decimal points 8898 6

Read the following sentence which contains grammatical errors The puppies one was brown and one was grey yelped happily when Bonnie came into the room Which revision best corrects the sentence Select one O The puppies one was brown and one was grey yelped happily when Bonnie came into the room The puppies one was brown and one was grey yelped happily when Bonnie came into the room O The puppies one was brown and one was grey yelped happily when Bonnie came into the room The puppies one was brown and one was grey yelped happily when Bonnie came into the room

Read the following sentence which contains grammatical errors Alexander finally answered after taking a few seconds to think that he did not want to go to the game Which revision best corrects the sentence Select one O Alexander finally answered after taking a few seconds to think that he did not want to go to the game Alexander finally answered after taking a few seconds to think that he did not want to go to the game Alexander finally answered after taking a few seconds to think that he did not want to go to the game Alexander finally answered after taking a few seconds to think that he did not want to go to the game

Which of the following sentences uses punctuation correctly to help signal that missing information will follow Select one O This morning I had my very favorite breakfast french toast scrambled eggs and orange juice O This morning I had my very favorite breakfast french toast scrambled eggs and orange juice O This morning I had my very favorite breakfast french toast scrambled eggs and orange juice O This morning I had my very favorite breakfast french toast scrambled eggs and orange juice

A construction crew is lengthening a road Let be the total length of the road in miles Let D be the number of days the crew has worked Suppose that L 2D 300 gives L as a function of D The crew can work for at most 90 days dentify the correct description of the values in both the domain and range of the function Then for each choose the most appropriate set o values Domain Range Description of Values Onumber of days the crew has worked Olength of the road in miles Onumber of days the crew has worked Olength of the road in miles Set of Values Choose one Choose one

The fuel tank of a certain airplane can hold up to 200 gallons of fuel Let W be the total weight of the airplane in pounds Let F be the total amount of fuel in its tank in gallons Suppose that W 7F 4000 gives Was a function of F Identify the correct description of the values in both the domain and range of the function Then for each choose the most appropriate set o values Domain Range Description of Values O amount of fuel in airplane s tank in gallons Oweight of airplane in pounds O amount of fuel in airplane s tank in gallons Oweight of airplane in pounds Set of Values Choose one Choose one

A small publishing company is planning to publish a new book Let C be the total cost of publishing the book in dollars Let N be the number of copies of the book produced For the first printing the company can produce up to 300 copies of the book Suppose that C 10N 600 gives C as a function of N during t first printing Identify the correct description of the values in both the domain and range of the function Then for each choose the most appropriate set of values Domain Range Description of Values Onumber of copies produced O cost of publishing book in dollars Onumber of copies produced O cost of publishing book in dollars Set of Values Choose one Choose one

A construction crew is lengthening a road Let L be the total length of the road in miles Let D be the number of days the crew has worked Suppose that L 3D 400 gives L as a function of D The crew can work for at most 80 days Identify the correct description of the values in both the domain and range of the function Then for each choose the most appropriate set of values Domain Range Description of Values Olength of the road in miles O number of days the crew has worked Olength of the road in miles Onumber of days the crew has worked Set of Values Choose one Choose one

The fuel tank of a certain airplane can hold up to 300 gallons of fuel Let W be the total weight of the airplane in pounds Let F be the total amount of fuel in its tank in gallons Suppose that W 7F 5000 gives W as a function of F dentify the correct description of the values in both the domain and range of the function Then for each choose the most appropriate set of values Domain Range Description of Values Oweight of airplane in pounds O amount of fuel in airplane s tank in gallons Oweight of airplane in pounds Oamount of fuel in airplane s tank in gallons Set of Values Choose one Choose one

A dry cleaner uses exponential smoothing to forecast equipment usage at its main plant August usage was forecasted to be 53 percent of capacity actual usage was 52 percent of capacity A smoothing constant of 05 is used a Prepare a forecast for September Round your final answer to 2 decimal places Forecast for September percent of capacity b Assuming actual September usage of 60 percent prepare a forecast for October usage Round your answer to 2 decimal places

d 4 d 0 4 L Domain Range y intercept Asymptote Interval of increase decrease e 2 Domain Range y intercept Asymptote Interval of increase decrease Domain Range y intercept Asymptote Interval of increase decrease

21 What type of exponential function is this f x 0 85 3 5 Growth or decay How do you know What is the percent rate of change of the function

a 3 16 14 12 10 8 2 2 1 0 Domain Range y intercept Asymptote Interval of increase decrease b 244 22 20 18 16 14 12 10 B 6 4 2 0 Domain Range y intercept Asymptote Interval of increase decrease c 4 3 2 1 0 21 6 8 10 12 14 16 18 20 S 2 Domain Range y intercept Asymptote Interval of increase decrease

Identify the information from the equation 1 Given the equation y 8 i Does this equation represent growth or decay ii What is the growth or decay factor iii What is the initial value iv What is the domain x v What is the range

3 Given the equation y 5 7 5 Does this equation represent growth or decay ii What is the growth or decay factor iii What is the initial value iv What is the domain v What is the range 4 Given the equation y 100 1 1 Does this equation represent growth or decay ii What is the growth or decay factor iii What is the initial value iv What is the domain v What is the range

At the beginning of April a colony of ants has a population of 5 000 A scientist noticed that the colony population was decreasing each month to 80 of the previous month s population 2 3 4 Number of Months 5 0 1 2 3 1 Is the ant colony population an example of exponential growth or decay Explain Expontential Decay because it is decreasing What is an equation that models the ant colony population a m months after it is first measured What is the domain and range of this function Complete the following statement As the months increase the ant colony population Ant Colony Population 5000 Estimate the ant colony population on month 1 5 Show your work 4000 3200 2560

C 3 2 B 3 2 10 An altitude of a triangle is a segment drawn from a vertex so that it is perpendicular to the non adjacent side of the triangle Based on the triangle above write the equation of the altitude from A to BC 4 points 11 A midsegment of a triangle is a segment that joins the midpoints of two sides of a triangle 4 points Based on the triangle above write the equation of the midsegment from AB to AC

Refer to the figure below relating to a commercial printer customer and the company that supplies the paper Technical requirements Importance to customer Customer requirements Paper will not tear 3 Consistent finish No ink bleed Prints cleanly 1 Paper width 2 3 Paper thickness Roll roundness 7 Coating thickness Tensile strength Paper width Paper thickness ORoll roundness A Coating thickness Tensile strength Paper color a What technical requirements have the highest impact on the customer requirement that the paper not tear You may select more than one answer Click the box with a check mark for the correct answer and click to empty the box for the wrong answer ololo Relationships Strong 9 Medium 3 Small 1

b Apply for a home equity loan 1 Service rep forwards application to loan committee III Service rep asks for necessary documents and checks to see if customer qualifies II Loan committee meetings are scheduled Customer actions line of information Contact person s line of visibility Backstage contacts ne of internal interaction Alive and The IV Greets service rep and Service rep greets customer and leads to cubicle Loan committee evaluates application and makes a decision to approve or not approve loan Tislis service rep typa of loan wanted III Service rep fils out necessary paperwork Forms are ordered Customer sighs for Service rep indicates approval date 1 IV Loan rates are Customer is i of decisi

Construct a list of steps for making a cash withdrawal from an automated teller machine ATM Assume that the process begins at t TM with your bank card in hand Assume that the ATM asks for PIN number after selecting the transaction option 1 Touch screen to begin 2 3 4 5 Insert card magnetic strip should be facing down Enter information PIN amount of transaction etc Insert card magnetic strip should be facing down Lift the Withdrawal Door being careful to remove all cash Select transaction option Withdrawal

1 2 3 4 5 of payment a Self service comprises the following order of steps gas Customer selects station 1 2 3 4 5 into your car for full service and for seir service Assume that paying cash is the only means Customer pumps desired amount of gas and performs other services Customer selects station Pay cashier for gas and other products inside station Return to auto and drive off Select octane level b Full service comprises the following order of steps Attendant pumps desired amount of gas and performs other services Customer selects station Drive off Pay attendant for gas and other services

Which technique for gathering data observational study or experiment do you think was used in the following studies a The Colorado Division of Wildlife netted and released 774 fish at Quincy Reservoir There were 219 perch 315 blue gill 83 pike and 157 rainbow trout This is an experiment because observations and measurements of individuals are conducted in a way that doesn t change the response or the variable being measured This is an experiment because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured This is an observational study because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured This is an observational study because observations and measurements of individuals are conducted in a way that doesn t change the response or the variable being measured b The Colorado Division of Wildlife caught 41 bighorn sheep on Mt Evans and gave each one an injection to prevent heartworm A year later 38 of these sheep did not have heartworm while the other three did This is an experiment because observations and measurements of individuals are conducted in a way that doesn t change the response or the variable being measured This is an observational study because observations and measurements of individuals are conducted in a way that doesn t change the response or the variable being measured This is an observational study because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured This is an experiment because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured c The Colorado Division of Wildlife imposed special fishing regulations on the Deckers section of the South Platte River All trout under 15 inches had to be released A study of trout before and after the regulation went into effect showed that the average length of a trout increased by 4 2 inches after the new regulation This is an experiment because observations and measurements of individuals are conducted in a way that doesn t change the response or the variable being measured This is an observational study because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured This is an observational study because observations and measurements of individuals are conducted in a way that doesn t change the response or the variable being measured This is an experiment because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured d An ecology class used binoculars to watch 23 turtles at Lowell Ponds It was found that 18 were box turtles and 5 were snapping turtles This is an experiment because observations and measurements of individuals are conducted in a way that doesn t change the response or the variable being measured This is an observational study because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured This is an observational study because observations and measurements of individuals are conducted in a way that doesn t change the response or the variable being measured This is an experiment because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured

Which technique for gathering data observational study or experiment do you think was used in the following studies a The Colorado Division of Wildlife netted and released 774 fish at Quincy Reservoir There were 219 perch 315 blue gill 83 pike and 157 rainbow trout This is an experiment because observations and measurements of individuals are conducted in a way that doesn t change the response or the variable being measured This is an observational study because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured This is an observational study because observations and measurements of individuals are conducted in a way that doesn t change the response or the variable being measured This is an experiment because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured b The Colorado Division of Wildlife caught 41 bighorn sheep on Mt Evans and gave each one an injection to prevent heartworm A year later 38 of these sheep did not have heartworm while the other three did This is an experiment because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured This is an observational study because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured This is an experiment because observations and measurements of individuals are conducted in a way that doesn t change the response or the variable being measured This is an observational study because observations and measurements of individuals are conducted in a way that doesn t change the response or the variable being measured c The Colorado Division of Wildlife imposed special fishing regulations on the Deckers section of the South Platte River All trout under 15 inches had to be released A study of trout before and after the regulation went into effect showed that the average length of a trout increased by 4 2 inches after the new regulation This is an experiment because observations and measurements of individuals are conducted in a way that doesn t change the response or the variable being measured This is an observational study because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured This is an observational study because observations and measurements of individuals are conducted in a way that doesn t change the response or the variable being measured This is an experiment because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured d An ecology class used binoculars to watch 23 turtles at Lowell Ponds It was found that 18 were box turtles and 5 were snapping turtles O This is an observational study because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured This is an observational study because observations and measurements of individuals are conducted in a way that doesn t change the response or the variable being measured This is an experiment because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured This is an experiment because observations and measurements of individuals are conducted in a way that doesn t change the response or the variable being measured

How long does it take to finish the 1 161 mile Iditarod Dog Sled Race from Anchorage to Nome Alaska Finish times to the near hour for 57 dogsled teams are shown below 260 272 237 243 278 334 262 265 288 295 314 310 308 289 289 289 290 299 305 316 309 319 317 319 332 322 USE SALT For this problem use five classes a Find the class width 295 285 300 287 289 248 257 339 359 342 0 1 0 0 308 298 304 276 284 303 304 298 298 333 329 310 329 308 329 322 323 328 b Make a frequency table showing class limits class boundaries midpoints frequencies relative frequencies and cumulative frequencies Round your relative frequencies to four decimal places 000 000 Class Limits Class Boundaries Midpoint Frequency Relative Frequency Cumulative Frequency 286 292 294 000 000

Are cigarettes bad for people Cigarette smoking involves tar carbon monoxide and nicotine measured in milligrams The first tv are definitely not good for a person s health and the last ingredient can cause addiction stem 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Brand 17 Brand A Brand B Brand C Brand D Brand E Brand F Brand G Brand H Brand I Brand J Brand K Brand L Brand M Tar Nicotine CO leaf 14 2 16 1 29 7 8 1 4 0 14 9 8 9 12 5 16 5 15 0 13 6 15 2 7 9 0 96 13 5 Brand N 1 26 16 7 0 20 5 5 2 23 23 4 Brand P 0 57 10 3 Brand Q 1 04 14 9 0 86 9 1 1 05 12 4 1 02 16 2 0 92 15 3 0 91 12 9 0 80 Brand 14 3 0 47 9 9 Brand O Brand R Brand S Brand T Brand U Brand V Brand W Brand X Brand Y Tar Nicotine co 11 3 9 2 1 2 17 2 12 9 15 9 4 6 14 6 7 2 8 7 15 3 Use the data in the table above to make a stem and leaf display for milligrams of tar per cigarette smoked Enter numbers from smallest to largest separated by spaces Enter NONE for stems with no values 11 9 0 88 10 1 0 84 0 13 1 36 0 76 9 4 1 6 1 18 12 5 18 4 17 6 0 22 4 8 1 22 0 91 16 0 0 71 8 4 0 79 10 7 13 8 0 92 15 0

The ogives shown are based on data collected on the U S and show the average annual personal income per capita for each of the 50 states The data are rounded to the nearest thousand dollars i Ogive Cumulative frequency 55 50 Percent of states 45 40 35 30 25 20 15 10 5 0 0 27 5 100 80 60 40 20 OE Personal Income per Capita by State 0 ii Ogive Showing Cumulative Percentage of Data Personal Income per Capita by State 96 17 27 5 32 5 36 37 5 Per capita Income 1 000 34 43 42 5 72 48 47 5 86 32 5 37 5 42 5 47 5 Per capita Income 1 000 50 52 5 100 52 5 a How were the percentages shown in graph ii computed O The percentages in graph ii were computed by dividing each of the cumulative frequencies in graph i by 100 and then converting those values into decimals The percentages in graph ii were computed by dividing each of the cumulative frequencies in graph i by 50 and then converting those values into percents O The percentages in graph ii were computed by multiplying each of the cumulative frequencies in graph i by 100 and then converting those values into decimals The percentages in graph ii were computed by multiplying each of the cumulative frequencies in graph i by 50 and then converting those values into percents O The percentages in graph ii were computed by dividing each of the cumulative frequencies in graph i by 50 and then converting those values into fractions b How many states have average per capita income less than 37 5 thousand dollars c How many states have average per capita income between 42 5 and 52 5 thousand dollars

In the Aloha state you are very unlikely to be murdered However it is considerably more likely that your house might be burgled your car might be stolen or you might be punched in the nose That said Hawaii is still a great place for a vacation or if you are very lucky to live Suppose the following numbers represent the crime rates per 100 000 population in Hawaii murder 2 4 rape 32 5 robbery 92 4 house burglary 901 1 motor vehicle theft 545 4 assault 120 6 a Display this information in a Pareto chart showing the crime rate for each category 1000 p Crime Rate Crime Rate Crime Rate Crime Rate 800 600 400 200 120 6 1000 901 1 800 600 400 200 0 800 1000p 600 400 200 1000 800 600 400 200 545 4 2 4 Assault Theft Burglary Robbery Rape Murder 545 4 901 1 32 5 32 5 2 4 Burglary Theft Assault Robbery Rape Murder 32 5 92 4 120 6 92 4 92 4 92 4 32 5 120 6 2 4 Murder Rape Robbery Assault Theft Burglary 901 1 545 4 901 1 545 4 120 6 2 4 Murder Rape Robbery Burglary Theft Assault G Q b Could the information as reported be displayed as a circle graph Explain Hint Other forms of crime such as arson are not included in the information In addition some crimes might occur together

e Categorize the basic distribution shape mound shaped symmetrical bimodal skewed left uniform skewed right

Watch Video Show Examples A quantity with an initial value of 590 decays continuously at a rate of 55 per year What is the value of the quantity after 21 months to the nearest hundredth

The time plot in the figure below gives the number of state and federal prisoners per 100 000 population t 450 400 350 300 Number per 100 000 250 200 150 100 50 OL 1980 1982 1984 1986 1988 1990 1992 1994 a Estimate the number of prisoners per 100 000 people for 1980 140 prisoners Estimate the number of prisoners per 100 000 people for 1997 444 prisoners 1996 b During the time period shown there was increased prosecution of drug offenses longer sentences for common crimes and reduced access to parole What does the time series graph say about the prison population change per 100 000 people The number of inmates per 100 000 increased every year c In 1997 suppose the U S population was approximately 266 575 000 people At the rate of 444 prisoners per 100 000 population about how many prisoners were in the system X prisoners Supporo the population was bo 227 500 000 in the year 2030 If the rate of oriconors por 100 000 stave

stem and leaf diagram shown below The study uses tree rings to accurately determine the year in which a tree was cut The figure gives the tree ring cutting dates for samples of timbers found in the architectural units at Sand Canyon Pueblo The text referring to the figure says The three digit numbers in the left column represent centuries and decades A D The numbers to the right represent individual years with each number derived from an individual sample Thus 124 2 2 2 represents three samples dated to A D 1242 Use the table below and the verbal description to answer the following questions leaf stem 119 56 120 120 121 2 121 55 122 122 589 123 012 334 123 5555555555555556889 124 12 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 344 124 5689999999999 125 0 0 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 125 000 0000000000001111111222 1190s 1200s O 1210s 1220s 1230s 1240s 1250s 1260s 1270s 0011112234444444 126 00012222222222222 4444444 126 555 667 127 0111144 a Which decade contained the most samples V b How many samples had a tree ring cutting date between 1200 A D and 1239 A D inclusive X samples c Find the longest interval during which no tree cutting samples occurred What is the first year that no tree cutting samples occurred in that interval X A D What is the final year that no tree cutting samples occurred in that interval A D d What might this indicate about new construction or renovation of the pueblo structures during this period O There was more renovations during those years than new construction There was no need for new construction or renovation of the pueblo structures There was more new construction during those years than renovations

Convert a speed of 105 mi h to units of feet per minute Also show the unit analysis by dragging components into the mit factor slots 105 mi 1h 60 h 1 min X 3 ft Answer Bank 60 s 12 in x f 1 5280 ft 1 ft 1h 11 ft mir

equation B 6 022x 1023 atoms mol 0 805 g 20 18 g mol After rounding the answer to equation B should have O4 significant figures O3 significant figures O 5 significant figures O2 significant figures O1 significant figure 2 402 x 1022 atoms unrounded

With the age of cellphones adults have relied on the use of text messages as a fast and efficient way to communicate This has le many researchers to believe that more adults spend their time sending text messages rather than talking on their phone A sample of 22 random adults was surveyed on the number of text messages they believe they send a day This gave the following counts 124 95 77 64 84 96 54 147 92 85 113 36 100 99 83 75 69 53 94 103 47 134 a Make a stem and leaf display for this data Enter numbers from smallest to largest separated by spaces Enter NONE for stems with no values stem 3 4 5 6 7 8 9 10 11 12 13 14 6 7 34 49 03 3 4 7 leaf X X X

Round each number to two significant figures 233 356 230