Math - Others Questions

Look at the two histograms below Each involves the same number of data The data are all whole numbers so the height of each bar represents the number of values equal to the corresponding midpoint shown on the horizontal axis Notice that both distributions are symmetric Histogram i Frequency Frequency M Histogram ii 5 mode 3 0 3 4 5 5 10 N a Estimate the mode median and mean for each histogram Histogram i Histogram ii 8 00 8 9 9

Consider the following Minitab display of two data sets mean Variable range C1 N 20 20 C1 Mean 19 00 19 00 a What are the respective means The respective ranges SE Meant 1 61 C2 St Dev 6 49 5 77 Minimum 5 00 5 00 01 14 00 19 00 Median 19 00 21 00 03 24 00 21 00 Maximum 30 00 30 00

4 pts Social Security numbers are comprised of nine digits Assuming no two people can use the same social security number what is the population limit for the social security number constraint

3 pts If n A 4 n B 5 and n AUB 9 find n An B

outliers Outliers may represent data collection errors data entry errors or simply valid but unusual data values It is important to identify outliers in the data set and examine the outliers carefully to determine if they are in error One way to detect outliers is to use a box and whisker plot Data values that fall beyond the limits Lower limit Q 1 5x IQR Upper limit Q3 1 5 x IQR where IQR is the interquartile range are suspected outliers In the computer software package Minitab values beyond these limits are plotted with asterisks Students from a statistics class were asked to record their heights in inches The heights as recorded were as follows 66 73 69 63 61 56 74 70 51 64 60 73 68 68 73 51 5 74 68 63 a Make a box and whisker plot of the data 0 10 20 30 40 50 60 70 80 90 HI 0 10 20 30 40 50 60 70 80 90 b Find the value of the interquartile range IQR IQR o c Multiply the IQR by 1 5 and find the lower and upper limits lower limit upper limit d Are there any data values below the lower limit Yes No Are there any data values above the upper limit Yes No 67 81 65 64 IH 0 10 20 30 40 50 60 70 80 90 Q 0 10 20 30 40 50 60 70 80 90 List any suspected outliers Enter your answers as a comma separated list If an answer does not exist enter DNE What might be some explanations for the outlier s O There is a single outlier but it is possible this student is just far below average height There are multiple outliers but they are all likely to be errors O There are multiple outliers but it is possible these students are just far above average height There is a single outlier but it is most likely an error That acted outliers in this data

First find the low and high numbers of the five number summary for the given data set Recall that the five number summary is used to create a box and whisker plot The five number summary consists of the lowest value the first quartile Q the median the third quartile Q3 and the highest value of a data set The given data set 7 10 10 11 12 12 13 14 15 is ordered We see that the lowest value is 7 7 and the highest value is 15 3 Step 2 Now find the median Recall that the median is the central value of an ordered distribution Note that the median is also the second quartile Q odd number of data values as we have here the median is the middle data value of the ordered For an odd data set The median of the ordered data set 7 10 10 11 12 12 13 14 15 is 12 Step 3 Next find Q Recall that the first quartile Q is the median of the lower half of the data That is the median of the data located below the Q position 7 10 10 11 12 12 13 14 15 There are nine values in the whole data set but there are only median The first quartile Q will be equal to the median of these values 15 Consider the ordered list of data values The median Q which was determined in the last step has been underlined for clarity sum of middle two values 2 The middle two values of the lower half of the data set are 10 and Now calculate the first quartile Q 10 10 2 median 12 2 Since the lower half of the data has an even number of data values we will now use the rule to find the median of an even number of data values x values to the left of the underlined

What percentage of the general U S population are high school dropouts Suppose the percentage of high school dropouts by are as follows For convenience the data are sorted in increasing order in O 5 9 66 6 16 15 14 13 12 11 10 9 8 765 9 10 10 10 LUSE SALT a Select the box and whisker plot 6 12 12 12 12 12 13 13 13 13 b Find the interquartile range IQR 10 10 10 10 7 7 78 16 15 14 13 12 11 10 9 8 7 6 8 00 00 8 00 13 14 11 11 11 11 9 14 14 9 11 9 9 9 16 15 14 13 12 11 10 9 8 II 6 12 12 15 15 16 c A particular state has a dropout rate of about 8 Into what quartile does this rate fall below Q between Q and the median between the median and Q3 above Q3 16 15 14 13 12 11 10 9 12 e

At one hospital there is some concern about the high turnover of nurses A survey was done to determine how long in months nurses had been in their current positions The responses in months of 20 nurses were as follows 50 40 30 Make a box and whisker plot of the data 20 25 4 7 16 27 38 29 10 9 25 31 28 30 13 22 33 10 38 LAUSE SALT Find the interquartile range 50 40 30 20 44 14 10 10 50 40 30 20 10 of 40 30 20 10

A survey was done at Center Hospital to determine how long in months clerical staff had been in their current positions The responses in months of 20 clerical staff members were as follows 2 6 7 13 14 16 a Select the box and whisker plot 0 10 20 30 40 50 60 70 80 17 21 23 23 23 0 10 20 30 40 50 60 70 80 Find the interquartile range IQR 10 40 26 50 The medians are about equal for clerical staff and narrower for clerical staff compared to that of 26 27 30 b Below is the box and whisker plot of data from a survey of 20 nurses at Center Hospital 31 32 32 41 73 10 20 30 40 50 60 70 80 20 30 Compare this plot with the one in part a Discuss the locations of the medians the locations of the middle halves of the data banks and the distances from Q and Q3 to the extreme values 10 20 30 40 50 60 70 80 nurses The interquartile range is nurses Q is farther from C the minimum for clerical staff compared to

Do bonds reduce the overall risk of an investment portfolio Let x be a random variable representing annual percent return for Vanguard Total Stock Index all stocks Let y be a random variable representing annual return for Vanguard Balanced Index 60 stock and 40 bond For the past several years we have the following data x 10 0 35 23 29 22 23 13 12 22 a Compute Ex Ex 95 y Compute Ex Ex 4505 Compute y Ey 89 Compute Ey Ey2 2383 9 K b Use the results of part a to compute the sample mean variance and standard deviation for x Round your answers to four decimal places X 9 5 s 360 2500 X S 18 9802 x Use the results of part a to compute the sample mean variance and standard deviation for y Round your answers to four decimal places 8 9 y s 159 09 x S 12 6131 X K 2 31 15 21 17 15 2 3 12 USE SALT x V c Compute a 75 Chebyshev interval around the mean for x values Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places y X Your answer s should be in the form of expression s 00 Compute a 75 Chebyshev interval around the mean for y values Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places 1 0 X Your answer s should be in the form of expression s Use the intervals to compare the two funds O 75 of the returns for the balanced fund fall within a narrower range than those of the stock fund O 75 of the returns for the stock fund fall within a narrower range than those of the balanced fund O 25 of the returns for the balanced fund fall within a narrower range than those of the stock fund O 25 of the returns for the stock fund fall within a wider range than those of the balanced fund d Compute the coefficient of variation in percent for fund x Round your answer to the nearest whole number Compute the coefficient of variation in percent for fund y Round your answer to the nearest whole number Use the coefficients of variation to compare the two funds

For this question you should type which formula you should use simple compound annuity payout annuity loan You should also tell me which variable you will be solving for and you should type your final answer to two decimal places ALL OTHER WORK MUST BE ON PAPER YOU SEND TO ME so I can see you substituted into the equation properly and the steps you took to solve How much should be invested now at 3 25 simple interest if 7550 is needed in 4 years 6 months Formulas

For this question you should type which formula you should use simple compound annuity payout annuity loan You should also tell me which variable you will be solving for and you should type your final answer to two decimal places ALL OTHER WORK MUST BE ON PAPER YOU SEND TO ME so I can see you substituted into the equation properly and the steps you took to solve Calculate the present value of an account if the future value is 25 000 after 9 years at 4 if the interest is compounded monthly

our different linear functions are represented below 10 8 6 Function 1 105 Function 3 y 4x 1 Answer the following questions 10 Function Function 2 Function X 2 1 0 1 2 a Which functions have graphs with slopes less than 3 Check all that apply Function 1 Function 2 Function 3 Function 4 y 3 4 5 6 7 Function 4 The slope is 5 and the y intercept is 4 b Which function has the graph with the greatest y intercept Function 1 Function 2 Function 3 Function 4 c Which function has the graph with a y intercept closest to 0 Function 3 Function 4

Look at the graphs and their equations below Then fill in the information about the coefficients A B C and D y A x y B x y Ckx A D x y a For each coefficient choose whether it is positive or negative Choose one b Choose the coefficient closest to 0 c Choose the coefficient with the least value B Choose one O C Choose one D Choose one

For mallard ducks and Canada geese what percentage of nests are successful at least one offspring survives Studies across five states in a country give the following percentages of successful nests x percentage success for mallard duck nests y percentage success for Canada goose nests a Use a calculator to find Ex Ex Use a calculator to find Ex Ex USE SALT Use a calculator to find Ey y Use a calculator to find Zy Ey2 H S 55 87 58 16 38 21 54 b Use the results of part a to compute the sample mean as a percent variance and standard deviation as a percent for x the percent of successful mallard nests Round your answers to four decimal places 60 73 24 c Use the results of part a to compute the sample mean as a percent variance and standard deviation as a percent for y the percent of successful Canada goose nests Round your answers to four decimal places y s d Use the results of parts b to compute the coefficient of variation in percent for successful mallard nests Round your answers to one decimal place

1 Compute the following limits using graph of f x 4pts 3 2 H F 3 H 1 2 3 a lim f x X 3 b Jim X 2 x c lim x c lim f x X 0 d lim f x X 2

Simplify each expression Classify each answer b degree and number of terms 1 3u 5u 9 5u u 7 2 2k k 6 3k e 3 3m 8 3m 8 4 2 5y

In this problem we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant Consider the data set 17 4 13 8 16 USE SALT a Use the defining formula the computation formula or a calculator to compute s Round your answer to four decimal places S b Multiply each data value by 7 to obtain the new data set 119 28 91 56 112 Compute s Round your answer to four decimal places S c Compare the results of parts a and b In general how does the standard deviation change if each data value is multiplied by a constant c Multiplying each data value by the same constant c results in the standard deviation remaining the same Multiplying each data value by the same constant c results in the standard deviation being Icl times smaller Multiplying each data value by the same constant c results in the standard deviation being Icl times as large Multiplying each data value by the same constant c results in the standard deviation increasing by c units d You recorded the weekly distances you bicycled in miles and computed the standard deviation to be s 2 6 miles Your friend wants to know the standard deviation in kilometers Do you need to redo all the calculations Yes No Given 1 mile 1 6 kilometers what is the standard deviation in kilometers

Exponent Rules Evaluate each expression 1 4 2 4 5 18m n4 32m n 2 5 Simplify each expression Final answers must contain positive exponents 3 x y 4 3a b 7 6 3p q 2 6 2p q 2

Consider the sample data 24 6 32 1 54 8 66 3 72 4 90 9 a Calculate Ex Ex Calculate Ex Ex b Use the results of part a and the appropriate computation formulas to compute the sample variance s and sample star deviation s s

Vanguard Total Stock Index all stocks Let y be a random variable representing annual return for Vanguard Balanced Index 60 stock and 40 bond For the past several years we have the following data x 10 0 35 23 29 22 23 13 12 22 y 9 2 31 15 21 17 15 2 3 a Compute Ex Ex LUSE SALT Compute Ex Ex S Compute Ey y Compute y Ey 5 b Use the results of part a to compute the sample mean variance and standard deviation for x Round your answers to four decimal places X s Use the results of part a to compute the sample mean variance and standard deviation for y Round your answers to four decimal places y s 12 c Compute a 75 Chebyshev interval around the mean for x values Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places Compute a 75 Chebyshev interval around the mean for y values Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places Use the intervals to compare the two funds 75 of the returns for the balanced fund fall within a narrower range than those of the stock fund O 75 of the returns for the stock fund fall within a narrower range than those of the balanced fund 25 of the returns for the balanced fund fall within a narrower range than those of the stock fund 25 of the returns for the stock fund fall within a wider range than those of the balanced fund d Compute the coefficient of variation in percent for fund x Round your answer to the nearest whole number X Compute the coefficient of variation in percent for fund y Round your answer to the nearest whole number Use the coefficients of variation to compare the two funds O For each unit of return the stock fund has lower risk O For each unit of return the balanced fund has lower risk For each unit of return the funds have equal risk If s represents risks and x represents expected return then s x can be thought of as a measure of risk per unit of expected return In this case why is a smaller CV better Explain

In this problem we explore the effect on the standard deviation of adding the same constant to each data value in a data set Consider the following data set 13 9 19 5 15 USE SALT a Use the defining formula the computation formula or a calculator to compute s Round your answer to four decimal places S b Add 2 to each data value to get the new data set 15 11 21 7 17 Compute s Round your answer to four decimal places

Consider the data set 2 5 6 7 9 a Find the range 7 b Use the defining formula to compute the sample standard deviation s Round your answer to two decimal places c Use the defining formula to compute the population standard deviation o Round your answer to two decimal plac

Drag the measurements to the containers to show equal length 75 ft 900 in 360 in 3960 ft 1320 yd 10 yd 12 inches in 1 foot ft 3 ft 1 yard yd 5280 ft 1 mile mi 0 75 mi

The Grand Canyon and the Colorado River are beautiful rugged and sometimes dangerous A physician has recorded for a 5 year period the number of visitor injuries at different landing points for commercial boat trips down the Colorado River in both the Uppe and Lower Grand Canyon Upper Canyon Number of Injuries per Landing Point Between North Canyon and Phantom Ranch Lower Canyon Number of Injuries per Landing Point Between Bright Angel and Lava Falls 7110783 13 LUSE SALT What is the median 4 JI a Compute the mean median and mode for injuries per landing point in the Upper Canyon What is the mean Round your answer to four decimal places What is the mode 0114 1 1

In this problem we explore the effect on the mean median and mode of multiplying each data value by the same number Consider the following data set 5 5 6 9 13 a Compute the mode median and mean What is the mode 5 LUSE SALT What is the median 6 What is the mean 7 6 b Multiply each data value by 3 Compute the mode median and mean What is the mode 15 What is the median 10 What is the mean 22 c Compare the results of parts a and b In general how do you think the mode median and mean are affected when each data value in a set is multiplied by the same constant Multiplying each data value by the same constant c results in the mode median and mean increasing by a factor of C Multiplying each data value by the same constant c results in the mode median and mean remaining the same Multiplying each data value by the same constant c results in the mode median and mean decreasing by a factor of C There is no distinct pattern when each data value is multiplied by the same constant d Suppose you have information about average heights of a random sample of airline passengers The mode is 66 inches the median is 71 inches and the mean is 75 inches To convert the data into centimeters multiply each data value by 2 54 What are the values of the mode median and mean in centimeters What is the mode 167 04 x cm What is the median 180 34 cm

You will use bullet points to respond to the following prompts 1 How do you perceive the systems approach to healthcare How different is it from a localized approach to healthcare 2 Can you give some examples relevant to the ten basic characteristics of the US healthcare system Please write about at least two basic characteristics and how your experiences connected to them

Explain the role of managers in the area you think is most important to health care ie talent management succession planning etc Provide one example to support your rationale Your initial post should be a minimum of 10 collegiate level sentences and it should include a reference from the textbook chapter page number or full research article citation

Date 5 4 51 737 50 If you deposit 700 into an account paying 12 interest compounded continuously how many years will if take for the original investment to triple Round your answer to the nearest tenth of a year 5 9 If you deposit 450 into an account paying 17 interest compounded quarterly how 112 7 1 11 9

Give the ordered pair that corresponds to the point shown in the figure What are the coordinates of the point Type an ordered pair 6 4 3 2 3 2 1 2

Find the exact values of x and r 45 r X 29

A DVD rental company has 10 500 000 subscribers an increase of 140 from five years ago Find the number of subscribers five years ago

Where does all the water go According to the Environmental Protection Agency EPA in a typical wetland environment 38 of the water is outflow 47 is seepage 7 evaporates and 8 remains as water volume in the ecosystem Chloride compounds as residuals from residential areas are a problem for wetlands Suppose that in a particular wetland environment the following concentrations mg L of chloride compounds were found outflow 74 0 seepage 75 7 remaining due to evaporation 50 2 in the water volume 70 6 a Compute the weighted average of chlorine compound concentration mg L for this ecological system Round your answer to one decimal place x mg L

The Grand Canyon and the Colorado River are beautiful rugged and sometimes dangerous A physician has recorded for a 5 year period the number of visitor injuries at different landing points for commercial boat trips down the Colorado River in both the Upper and Lower Grand Canyon Upper Canyon Number of Injuries per Landing Point Between North Canyon and Phantom Ranch 3411457 8414 Lower Canyon Number of Injuries per Landing Point Between Bright Angel and Lava Falls 7110783 13 4 0 1 14 11 USE SALT a Compute the mean median and mode for injuries per landing point in the Upper Canyon What is the mean Round your answer to four decimal places What is the median What is the mode b Compute the mean median and mode for injuries per landing point in the Lower Canyon What is the mean Round your answer to four decimal places What is the median What is the mode c Compare the results of parts a and b The Lower Canyon mean is greater while the median and mode are the same The mean median and mode are greater for the Upper Canyon The Lower Canyon mean is greater while the median and mode are less The mean median and mode are greater for the Lower Canyon d The Lower Canyon stretch had some extreme data values Compute a 5 trimmed mean for this region Round your answer to four decimal places Compare this result to the mean for the Upper Canyon computed in part a The trimmed mean is closer to the Upper Canyon mean The trimmed mean is the same as the Upper Canyon mean

In this problem we explore the effect on the mean median and mode of multiplying each data value by the same number Consider the following data set 5 5 6 9 13 USE SALT a Compute the mode median and mean What is the mode What is the median What is the mean b Multiply each data value by 3 Compute the mode median and mean What is the mode What is the median What is the mean c Compare the results of parts a and b In general how do you think the mode median and mean are affected when each data value in a set is multiplied by the same constant O Multiplying each data value by the same constant c results in the mode median and mean increasing by a factor of c Multiplying each data value by the same constant c results in the mode median and mean remaining the same Multiplying each data value by the same constant c results in the mode median and mean decreasing by a factor of c There is no distinct pattern when each data value is multiplied by the same constant d Suppose you have information about average heights of a random sample of airline passengers The mode is 66 inches the median is 71 inches and the mean is 75 inches To convert the data into centimeters multiply each data value by 2 54 What are the values of the mode median and mean in centimeters What is the mode cm What is the median JAIL cm

Consider the following numbers 2 3 4 4 5 a Compute the mode median and mean What is the mode What is the median What is the mean b If the numbers represented codes for the colors of T shirts ordered from a catalog which average s would make sense Select all that apply mode median mean c If the numbers represented one way mileages for trails to different lakes which average s would make sense Select all apply mode median mean d Suppose the numbers represent survey responses from 1 to 5 with 1 disagree strongly 2 disagree 3 agree 4 ag strongly and 5 agree very strongly Which average s make sense Select all that apply mode median mean

How expensive is Maui A newspaper gave the following costs in dollars per day for a random sample of condominiums located throughout the island of Maui 86 50 66 60 355 55 500 71 44 350 60 50 260 45 45 125 235 65 60 130 LUSE SALT a Compute the mean median and mode for the data What is the mean What is the median What is the mode b Compute a 5 trimmed mean for the data and compare it with the mean computed in part a Round your answer to two decimal places Does the trimmed mean more accurately reflect the general level of the daily rental costs Yes the trimmed mean is closer to the median and mode Yes the trimmed mean is further from the median and mode No the trimmed mean is further from the median and mode No the trimmed mean is closer to the median and mode c If you were a travel agent and a client asked about the daily cost of renting a condominium on Maui what average would you use Explain The median the data skews to the right seems to represent the costs most accurately since so it should be the one reported Is there any other information about the costs that you think might be useful such as the spread of the costs No other information about condominium costs would be useful The lowest and highest prices of the condominiums would also be useful The average price of a condominium in 1980 would also be useful

Find the mean median and mode of the data set Enter DNE for any values that do not exis 24 3 30 9 56 8 67 3 71 7 90 4 What is the mean Round your answer to two decimal places What is the median What is the mode

Question 2 f 3dx 1 Select one a In 6 b 3ln 3 In 8 d ln 2 C Not yet a Marked o

Part 1 Every year after a new car is purchased it loses 25 of its value The purchase price of the c is 24 000 A buyer worries that the car will be worth nothing in 4 years Do you agree a b If you disagree what will be the value of the car in years 5 and 10

The positions of town A town B town C and town D are marked on a Cartesian plane Given 2y 4x 12 represent the equation for the straight line connecting town A and town C while y 4x represent the equation for the straight line connecting town B and town D If town M is the intesection of both equations state the distance town M from x axis

Write the equation y 2x 8 in the form of Jawapan Answer X y b 1

Log AB B Log A If 0 5 0 01 what is the value of n

Consider the data in the table for the amount of oil used annually to generate electricity in a certain country from 2000 to 2011 Amount of Oil Used millions of gallons Interpret Years since 2000 Xo 0 X 1 x 2 Calculate Y i 0 4 X5 5 X7 7 X8 8 x9 9 10 10 X11 11 Yo 2 216 Y 2 213 9 Y 2 211 8 Y3 2 209 7 Y4 2 207 6 Y 2 205 5 Y6 2 203 4 Y 2 201 3 Y8 2 199 2 Yg 2 197 1 10 2 195 Y11 2 192 9 The value represents the amount of oil used in millions of gallons to generate electricity in that country in 2005 The value represents the amount of oil used in millions of gallons to generate electricity in that country from 2000 to 2011 The value represents the amount of oil used in millions of gallons to generate electricity in that country from 2000 to 2005

Consider the data in the table for the amount of oil used annually to generate electricity in a certain country from 2000 to 2011 Amount of Oil Used millions of gallons 2 612 Y 2 609 9 Y 2 607 8 Y3 2 605 7 Y4 2 603 6 Ys 2 601 5 Y6 2 599 4 Y 2 597 3 Y8 2 595 2 Y 2 593 1 10 Interpret Years since 2000 x0 0 x 1 x 2 1 5 10 Calculate Y X3 4 4 X5 5 3 X6 6 x 7 Xg 8 x 9 10 10 11 11 10 2 591 11 2 588 9 The value represents the amount of oil used in millions of gallons to generate electricity in that country from 2000 to 2011 The value represents the amount of oil used in millions of gallons to generate electricity in that country from 2005 to 2010 The value represents the amount of oil used in millions of gallons to generate electricity in that country in 2010 The value represents the number of years that passed from 2000 to 2011

6 A piece of silver wire has a diameter of 0 510 mm If silver has a density of 10 5 g cc how long in meters should you cut a piece of wire to obtain 0 0178 moles of silver

Consider the data in the table for the amount of oil used annually to generate electricity in a certain country from 2000 to 2011 Amount of Oil Used millions of gallons Yo 2 114 O 11 C i 0 i 5 TIME M i 5 O X Years since 2000 0 1 2 3 Xo X3 X4 4 X10 Write the total amount of oil used to generate electricity in that country from 2005 to 2007 as a sum X5 X6 6 Xy 7 8 x9 9 5 10 11 11 Y 2 111 9 Y 2 109 8 Y3 2 107 7 Y4 2 105 6 Ys 2 103 5 Y6 2 101 4 Y 2 099 3 Y8 2 097 2 Yg 2 095 1 10 2 093 11 2 090 9

Consider the data in the table for the number of confirmed cases of Lyme disease in a certain state annually from 2005 to 2014 Years since 2000 Cases of Lyme Disease X5 5 53 6 13 1 8 14 1 5 Oxi i 8 13 O XiXi i 8 x6 14 Xy 7 X8 8 x9 9 X10 10 X11 11 Y5 X12 12 13 13 14 X14 Write a sum to represent the total number of confirmed cases of Lyme disease in that state from 2008 to 2013 Y8 105 Y7 Yg 138 330 322 270 Y10 Y11 475 Y12 387 Y13 675 599

Use the given n 5 ordered pairs to calculate xy Round to two decimal plac X y 3 15 16 73 14 15 0 05 1 66 1 98 28 91 18 30 2 27 1 67

Consider the following group of bivariate values 1 46 X 1 42 Y2 1 34 Compute 1 1 44 x3 1 52 3 1 42 X4 1 5 Y4 1 45 1 41 X5 Ys 1 38 Y6 1 46 1 39 x7 Y7