Math - Others Questions

d Given y 3 sin 3x Find 1 phase shift p s 2 2 period p

b The Monod growth function is given by R N Find 1 R 2 2 the saturation level 20 N 2 N

c Let f x 15x3 x 2 Find f 1

For the following frequency distribution let the mean 5 Find the variation coefficient if x f 290 X f 3 4 O a 88 8 O b 88 8 O c 42 14 O d 42 14 5 3 7 2 9 1

b Find the values of the constants A and B so that the following function is continuous every where Ax B if x 1 x 2x 3 Ax B if 1 x 2 4 if x 2

Find the following limits 1 2 lim X 3 lim X 0 2 x 7 4 x 3 x 1 cos x tan 2 x

Write the vector 1 2 2 as a linear combination of the vectors 1 0 0 2 0 1 0 2 3

1 Consider the matrix A 0 0 0 0 1 0 2 3 a Find the eigenvaluue of A 2pts b Find the corresponding eigenvectors

In November 2012 Benjamin Pershouse bought a pair of women s indoor slippers through L L Bean s website Pershouse said that after a few years of indoor use the rubber soles of the slippers began to flake off in large chunks He did not say that the slippers were defective or that he was dissatisfied with their quality In February 2018 L L Bean s executive chairman posted a letter on the company s Facebook page announcing a change in founder Leon Leonwood Bean s longstanding policy of if something s not working or fitting or standing up to its task or lasting as long as you think it should we ll take it back The letter indicated that A small but growing number of customers has been interpreting our guarantee well beyond its original intent Some view it as a lifetime product replacement program expecting refunds for heavily worn products used over many years Others seek refunds for products that have been purchased through third parties such as at yard sales The letter then announced Based on these experiences we have updated our policy Customers will have one year after purchasing an item to return it accompanied by proof of purchase After one year we will work with our customers to reach a fair solution if a product is defective in any way In March 2018 Pershouse attempted to return the slippers to an LL Bean store in Burlington Massachusetts He had proof of purchase but the clerk refused to take the slippers back Pershouse then filed a class action lawsuit against L L Bean on several grounds including breach of contract breach of warranty and unjust enrichment Do you think Benjamin was in the right for filing suit Do you think LL Bean had an obligation here What could maybe have been a resolution without having to go to court This is a real court case but I m looking for your opinion on this issue No research needed just share your thoughts Be sure to meet minimum requirements for writing assignments

use an analytical method of solving a Use the intersection of graphs method to approximate the solution of the following to the nearest tenth Make a rough copy of the graph s from your graphing calculator that you have used to make your determination 2TX 0 8 9 x 7 b Use the x intercept method to approximate the solution of the following to the nearest tenth Write the function you enter into your calculator Make a rough copy of the graph s from your graphing calculator that you have used to make your determination Write the answer in interval notation 6 1x 2 3 2 x 4 3 4 6 I Function y Graph Interval

4 A function y f x is defined by the graph below Answer the following questions Approximate when necessary Assume the graph is expanded indefinitely 5 4 3 2 2 0 21 31 f List all zeros of the function 4 5 a Find the domain b Find the range c What is f 4 d What is f 3 e Estimate the x value s for which f x 2

Supposed the law prescribed the renter to vacate an apartment within 30 days after being served with an eviction notice To protect renters th government passes a new law under which the renter must vacate the apartment in 90 days The following graph shows the market for rental properties where the demand curve represents demand for apartments under the old eviction Adjust the following graph to show the effect of the new eviction law on the market for rental properties PRICE Apartment Ren 140 120 14 24 14 1 0 3021 QUANTITY Darents QUANTITY A falls rises sed on the graph the rental price rises QUANTITY Apartments Supply Demand to THE 100 Demand Supply 60 50 and the number of available apartments increases Grade It Now increases decreases

3 Determine the domain D and the range R of each relation and tell whether relation is a function Explain D R f 5 4 3 2 3 4

6 The market for middle and aisle seats on airline flights Consider the market for middle and aisie seats on airline flights Aisle seats are more popular than middle seats For every aisle seat a middle seas exists assuming the row of seats on each side of the plane consists of three seats window middle and aisle So if the plane has 50 aisle seats will also have 50 middle seats In other words the supply of middle seats equals the supply of aisle seats However the demand for aisle seats is higher than the demand for middle seats Adjust the following graph to show the position of the curve reflecting the demand for aisle seats relative to the demand for middle seats 140 120 PRICE Dollars 112 54 70 42 Supply of seats 50 QUANTITY esta D Supply of seats

Match the expression on the left with its simplified form on the right Answer options on the right may be used more than once 1 31 1 31 131 131 3

logists found the population of two invasive fish species in a large lake was changing exponentially after the lake was first surveyed Here are graphs showing the growth of each fish population after the survey began in years Population A Population 45000 aood 35000 30000 25000 20000 15000 20000 1 time years 2 A Which fish population was greater when the biologist first surveyed the lakes D Which population has a Asymptote of y 1500 3 Population A was greater than population B 5 Population B 48000 45000 42000 39000 Population A Population Population B 36000 33000 30000 27000 24000 B What does the point 3 27000 of Population B represent in this situation Describe the point in the form of function notation In years the f x population was 27 000 21000 18000 15000 12000 9000 6000 3000 E Describe the domain of each function What does the domain mean in this situation What are the restrictions of the domain Population 13 Since the point is 0 1500 that arise from the context 2 time years 1 3 C What is the growth factor for each fish population Population A Population B F Describe the range of each function What does the range mean in context of the situation What are the restrictions of the range that arise from the context Population A Population B

DOLLARS PER VISIT MINUTAP 300 250 1 200 150 100 TUPA F ymmand and Poce Applications 2 8 DOLLARS PER VISIT Market for Doctor Visits 1 I I KALUPADA SAAToe al dicta suns 4 de manag Betriels a gere Sam Ayam WERE Bakar das skyre tom I 250 376 500 625 756 DOCTOR VISITS PER YEAR The equilibrium number of doctor visits in this economy is Now suppose everyone in this economy gets health insurance that pays 50 of the price received by doctors In this case there would be doctor visita demanded per year Hint Type each entry in the drop down menu into the white box and examine the result When you change the number of doctor visits in the white box the value in the insurance payment box changes to reflect the amount that would make up the difference between what patients are willing to pay and what doctors charge at a given quantity J Puise mance Pa Supply HER Demand per a un 12 Supply Demand and Price Applications Ch 05 Supply mandate er sept me you the Demand K THE Doctor Visits per Year Patient Payment Dollars per visit Patient Payment Dollars per t Insurance Payment Dollars per visit Insurance Payment Dos per visi visits per year while the equilibrium price is MINTA SeDenne Aph PM 250 DRE 200 od Pube Price Doctors Charge Dollars per visit Pen per visit Pres Totes Lwan PL meintly dodala 10 Q Schn 100 tad Mal

Use the graph to help you answer the questions that follow You will not be graded on any adjustments made to the graph Tool tip Click and drag one or both of the curves Curves will snap into position so if you try to move a curve and it snaps back to its original position just try again and drag it a little farther J TUITION Thousands of dollars 15 Admission to New York University Supply bemand 12 18 NUMBER OF STUDENTS Thousand 20 The equilibrium level of tuition at NYU is 24 Demand 101 Supply C per academic year If NYU sets its tuition at this price the number of student applications the number of openings available Now suppose that the tuition for NYU is set at 30 000 by New York s state assembly At this level of tuition the number of student applications the number of openings available wit Suppose that in its latest issue a popular magazine publishes information about colleges in the United States The magazine declares NYU to be America s best college Adjust the previous graph to show the effect this will have on the market for admission to NYU The new equilibrium level of tuition at NYU is per academic year it the majapine declares NrU to be America s best college and the tuition for Nu is set at 30 000 by New York s assembly NYU will smission than there are coenings C

The following graph shows the supply of space on a commuter bridge and the demand for bridge space during rush hour and during off peak hours PRICE n 53 U Market for space on a commuter bridge 2 Hour If there is no toll to cross the bridge at any time then there will be bridge space during off peak hours and hour 0 Pon Pak S SHIDGE SPACE Now assume there is a toll to cross the bridge Which of the following toll prices will ensure that there is not a shortage excess demand of bridge space during rush hour Check all that apply A of bridge space during rush

Chou Co has a net income of 58 000 assets at the beginning of the year are 265 000 and assets at the end of the year are 315 000 Compute its return on assets Multiple Choice O O O C 11 1 21 9 18 4 20 0 1 9

7 The market for college athletes Suppose that Sam an excellent high school basketball player is being recruited by the University of California Berkeley that is Berkeley is the consumer In this example NCAA rules prevent universities from compensating student athletes more than the full cost of tuition Assume that recruiting for college athletes is organized under a perfectly competitive environment The following graph shows the supply of and demand for Sam s athletic services Suppose that Berkeley s annual tuition is 33 000 the amount scholarship money or the wage Sam receives in exchange for playing at Berkeley Shade the area representing Berkeley s consumers surplus using the green point triangle symbol Then shade the area representing Sam s total wage revenue using the purple point diamond symbol 60 WAGE Thousands of dollars 54 46 42 36 30 Demand 24 18 12 Tuition Sam s Athletic Services Supply A CS Total Wage

Again the following graph shows the supply of and demand for Sam s athletic services Suppose that the NCAA revokes its rule so universities ca pay student athletes any wage with no limitations Use the black point to indicate the wage the University of California Berkeley will pay Sam under these conditions Then shade Berkeley s consume surplus using the green point triangle symbol Finally shade Sam s total wage revenue using the purple point diamond symbol 23X22 WAGE Thaad Demand Sam s Athletic Services Supply Equilibrium Wage A Total Wo

The citizens of a fictional city called Smallville enjoy exceptionally good weather compared to other similar cities in the country Let estate market in Smallville The following graph shows the supply and demand for housing in Smallville The curve labeled Supply represents the supply of housing in the city and the curve labeled D represents the demand for housing if the weather were not so good G Adjust the following graph to show the position of the demand curve given that the weather is good 140 126 PRICE Local Curency 112 98 84 70 50 42 14 0 O 22 Supply 18 99 110 77 33 44 55 66 QUANTITY Housing in Smallville D P Supply

Adjust the following graph to show the effect of the introduction of the health insurance plan on the market of x rays Tool tip Click and drag one or both of the curves Curves will snap into position so if you try to move the curve and it snaps back to its origin position just try again and drag it a little farther PRICE OF X RAYS Market for X Rays Supply Demand O Demand Supply

DOLLARS PER VISIT 300 250 200 150 100 50 0 0 Market for Doctor Visits 125 Supply Demand 250 375 500 625 DOCTOR VISITS PER YEAR 750 The equilibrium number of doctor visits in this economy is Graph input Doctor Visits per Year Patient Payment Dollars per visit Insurance Payment Dollars per visit 250 200 0 visits per year while the equilibrium price is Price Doctors Charge Dollars per visit per visit D 100 Now suppose everyone in this economy gets health insurance that pays 80 of the price received by doctors In this case there would be doctor visits demanded per year Hint Type each entry in the drop down menu into the white box and examine the result When you change the number of doctor visits in the white box the value in the insurance payment box changes to reflect the amount that would make up the

t the Pennbrook University a planetary physics class is offered at two times 10 a m and 8 p m The supply of seats in the classroom is the same both times However student demand for the 10 a m class is higher than for the 8 p m class Adjust the following graph to show the position of the curve reflecting the demand for the 10 a m class relative to the demand for the 8 p m class 140 Tuition Dollars 126 112 98 84 70 56 42 28 14 0 0 10 20 Supply of seats in class Demand 30 40 50 60 70 Number of Seats in Class 8 p m 80 90 100 Demand 8 p m Supply of seats in class 10 a m

Suppose the government offers a 1 200 subsidy for each unit of the good the buyer purchases Adjust the following graph to show the effect of a government subsidy on the market for smart fridges Price Hundred Dollars 60 54 48 42 36 30 24 18 12 6 0 0 10 20 Demand Without subsidy 30 40 50 60 70 80 90 100 Quantity Thousands of fridges Demand Without subsidy

A 12m tall flagpole was installed in the park A long cable is tied to the top and secured to the ground The angle the cable makes with the ground is 65 It was unsafe so they had to move it further away so it makes an angle of 50 with the ground How much further away was the cable secured to the ground Provide a detailed diagram with your solution round to one decimal A 5 marks place

3 Find a homogeneous linear system with two equations that are not multiples of one another and such that and x 1 X 1 X3 1 X4 2 x 2 X 0 X3 3 x4 1 are solutions of the system

Scenario 1 Falling and Falling The value of some cell phones changes exponentially after initial release Here are gr the depreciation of two phones 1 2 and 3 years after they were released Analyze each graph and explain your answer in the boxes below Phone A value dollars 1 000 800 600 400 200 Analyzing and 2 0 1000 1 600 2 2 360 3 216 4 time years A Which phone is more expensive to buy when it is first released 6 Phone A was more espensive than phone B when it was first released D Which one is falling in value more quickly Explain or show how you know Phone A because the last point to less than the last point for phone B G If the phones continue to depreciate by the same factor each year what will the value of each phone be 4 years after its initial release 8 Phone B value dollars 1 000 800 600 0 840 O 1 630 2 472 5 O B What does the point 2 360 of Phone A represent in this situation Describe the point in the form of function notation After 2 years the priced decreased E Describe the domain of each function What does the domain mean in this situation What are the restrictions of the domain that arise from the context H Complete the phrase As each year x increases the value of f x decreases Explain or show how you know 3 354 38 4 time years 6 8 C How does the value of each phone change with every passing year It decays with each year passing F Describe the range of each function What does the range mean in context of the situation What are the restrictions of the range that arise from the context 1 For each cell phone write an equation that relates the value of the phone in dollars to the years since release t Use v for the value of Phone A and w for the value of Phone B

Vome Alice At the local garden shop a package of flower seeds costs 5 and trees costs 17 The gardener purchased 500 items and the total cost is 5 968 a Model this situation using a system of equations 4 b How many trees did the gardener purchase 5 C 3 marks K 3 marks The city wants to build a stage in the park The stage needs a ramp The rules say that the angle of elevation for the ramp must be 8 or less and the ramp must be 15m or less in length With these rules what would be the maximum height for the stage Round to I decimal place Provide a detailed diagram T 4 marks

A population of cattle is increasing at a rate of 600 80t per year where t is measured in years By how much does the population increase between the 6 th and the 9 th years Total Increase 840

d lim x tanxe 20 24 Sing

years Geomagnetic surveys detect subsurface anomalies in the earth s magnetic field These surveys have led to many significant archaeological discoveries After collecting data the next step is to begin a statistical study The following data measure magnetic susceptibility centimeter gram second x 10 6 on two of the main grids of the location The data for the x variable Grid E is given below The data for the y variable Grid H is given below a Compute Ex 2x 13 10 5 70 19 70 14 95 21 50 17 35 27 55 16 85 24 00 32 50 40 85 5 00 17 65 28 45 Compute Ex Ex Compute Ey y 11 95 15 15 21 20 17 40 27 40 10 25 14 80 48 80 25 50 25 85 57 70 34 45 38 70 41 10 31 15 Compute Ey Ey2 X s 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 S S USE SALT Use the results of part a to compute the sample mean variance and standard deviation for y Round your answers to four decimal places 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 magnetic susceptibility on the two grids Higher numbers indicate higher magnetic susceptibility However extreme values high or low could mean an anomaly and possible archaeological treasure O Grid H shows a wider 25 range of values Grid E shows a wider 75 range of values O Grid E shows a wider 25 range of values Grid H shows a wider 75 range of values d Compute the sample coefficient of variation in percent for x Round your answers to one decimal place Compute the sample coefficient of variation in percent for y Round your answers to one decimal place Use the CV s to compare the two grids Grid H demonstrates greater variability per expected signal Grid H demonstrates the same variability per expected signal as Grid E O Grid E demonstrates greater variability per expected signal If s represents variability in the signal magnetic susceptibility and x represents the expected level of the signal then s x can be thought of as a measure of the variability per unit of expected signal Remember a considerable variability in the signal above or below average might indicate buried artifacts Why in this case would a large CV be better or at least more exciting Explain A larger CV would indicate a possibility of more buried artifacts

The figure shows the chain drive of a bicycle How far will the bicycle move if the pedals are rotated through 180 Assume the radius of the bicycle wheel is 13 5 inches The bicycle will travel approximately Round to the nearest tenth in www 1 14 in A

5 Aidan and his sister Ella are having a race Aidan runs at a rate of 10 feet per second Ella runs at a rate of 6 feet per second Since Ella is younger Aidan is letting her begin 30 feet ahead of the starting line Let y represent the distance from the starting line and x represent the time elapsed in seconds Write an equation to model the distance Aidan traveled Write an equation to model the distance Ella traveled Exactly how many seconds does it take Aidan to catch up to Ella Justify your answer

A 80 horsepower outboard motor at full throttle will rotate its propeller at exactly 4700 revolutions speed of the propeller in radians per second 4700 rev per min Round to th radians per sec

The number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model at a relative rate of 18 per hou Suppose that a sample culture has an initial population of 273 bacteria Find the population predicted after five hours according to the model Do not round any intermediate computations and round your answer to the nearest tenth 1 bacteria X S

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 12 0 35 20 30 24 23 12 12 22 y 10 2 30 12 21 17 15 2 a Compute Ex Ex LAUSE SALT Compute Ex Ex Compute y Ey y S Compute Ey Ey S 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 3 12 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 c Compute a 75 Chebyshev interval around the mean for x values Enter your answer in the form lower limit t 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 O 75 of the returns for the balanced fund fall within a narrower range than those of the stock fund 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 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 upper limit Use the coefficients of variation to compare the two funds For each unit of return the stock fund has lower risk 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

The standard 4 point grading scale assigns a 4 0 to an A 3 0 to a B 2 0 to a C 1 0 to a D and 0 0 to an F Suppose that you earned an C in your 5 credit Chemistry class a B in your 1 credit Chemistry lab a C in your 3 credit History class and a A in your 3 credit Writing class Compute your grade point average In other words find the weighted average of your grades using the number of credits as the weights Round your answer to two decimal places

b Use a calculator to verify that Ex 149 6 Ex 3 220 10 y 244 Ey2 9 834 and Exy 5 290 7 Computer Round your answer to four decimal places r As x increases does the value of r imply that y should tend to increase or decrease Explain your answer Given our value of r y should tend to remain constant as x increases Given our value of r y should tend to increase as x increases Given our value of r y should tend to decrease as x increases Given our value of r we can not draw any conclusions for the behavior of y as x increases

nurses had been in their current positions The responses in months of 20 nurses were as follows 50 40 Make a box and whisker plot of the data 30 20 27 6 9 18 29 40 31 10 11 27 33 30 32 15 24 35 12 40 USE SALT Find the interquartile range 50 40 30 20 46 16 12 10 50 40 30 20 10 50 40 30 10 5

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 88 50 66 60 360 55 500 71 41 350 60 50 240 45 45 125 235 LUSE SALT a Compute the mean median and mode for the data What is the mean What is the median 65 60 What is the mode 120 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 Select seems to represent the costs most accurately since Select 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 so it

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 3 4 11 45 584 14 Lower Canyon Number of Injuries per Landing Point Between Bright Angel and Lava Falls 71107 6 3 15 201 12 3 1 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 3 6364 What is the median 4 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 4 2143 What is the median 2 5 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

How hot does it get in Death Valley The following data are taken from a study conducted by the National Park System of which Death Valley is a unit The ground temperatures F were taken from May to November in the vicinity of Furnace Creek Compu the mean median and mode for these ground temperatures 148 150 167 173 185 179 180 185 179 167 179 USE SALT What is the mean in F Round your answer to four decimal places F What is the median in F F What is the mode in F 164 150 146

O O O y annual number of burglaries y annual number of burglaries a Make scatter diagram of the data Then visualize the line you think best fits the data y annual number of burglaries y y annual number of burglaries 25 20 15 10 70 60 50 40 30 20 70 60 50 40 30 20 25 20 15 25 10 USE SALT 20 72 10 10 39 23 15 30 30 40 x student enrollment in thousands 15 15 25 50 15 60 20 x student enrollment in thousands 20 x student enrollment in thousands 25 25 70

Let x be the average number of employees in a group health insurance plan and let y be the average administrative cost as a percentage of claims O x y a Make a scatter diagram of the data and visualize the line you think best fits the data 40 40 y average cost as percentage y average cost as percentage r 37 7 15 34 74 40 37 34 28 17 35 30 25 20 USE SALT 35 30 25 20 10 20 30 40 50 60 70 x average number of employees 10 20 30 40 50 60 70 x average number of employees O y average cost as percentage DO y average cost as percentage 35 30 25 20 40 35 30 25 20 10 20 30 40 50 60 70 x average number of employees 10 b Would you say the correlation is low moderate or strong positive or negative Olow and negative O moderate and positive O strong and negative Olow and positive O moderate and negative Ostrong and positive 20 30 40 50 60 70 x average number of employees Q c Use a calculator to verify that Ex 133 Ex 6 915 Ey 156 Ey2 5 198 and Exy 3 099 Computer Round your answer to four decimal places As x increases does the value of r imply that y should tend to increase or decrease Explain Given our value of r y should tend to remain constant as x increases Given our value of r we cannot draw any conclusions for the behavior of y as x increases CiVeR chould tond

A location in Ireland is a place of great archaeological importance This region has been occupied by people for more than 4 000 years Geomagnetic surveys detect subsurface anomalies in the earth s magnetic field These surveys have led to many significant archaeological discoveries After collecting data the next step is to begin a statistical study The following data measure magnetic susceptibility centimeter gram second x 10 6 on two of the main grids of the location The data for the x variable Grid E is given below 13 10 5 70 19 70 14 95 21 50 17 35 27 55 16 85 24 00 32 50 40 85 5 00 17 65 28 45 The data for the y variable Grid H is given below 11 95 15 15 21 20 17 40 27 40 10 25 14 80 48 80 25 50 25 85 57 70 34 45 38 70 41 10 31 15 a Compute Ex Ex Compute Ex Ex Compute y y Compute Ey Ey USE SALT

Find the distance in kilometers between the following pair of cities assuming they lie on the same north south line The radius of the Earth is approximately 6400 km City A 18 N and City B 10 S The cities are approximately km apart Round to the nearest integer as needed www

A local swim club offers competitive meets throughout the season Some races are open competitions with no qualifying times Other races are qualified competitions For example 15 to 16 year old girls are eligible to swim the 100 meter freestyle in a qualified competition if they posted a time of 1 minute 8 second time or less during the qualifying period Consider the group of 15 to 16 year old females who swim the 100 meter freestyle in the open competitions and the group of 15 to 16 year old females who swim the 100 meter freestyle in the qualified competitions Which group s distribution of race times would most likely have the largest standard deviation O The group competing in the open competitions is most likely to have a higher standard deviation than the group competing in the qualified competitions O The group competing in the qualified competitions is most likely to have a higher standard deviation than the group competing in the open competitions O Some swimmers will swim in both competitions So both groups will likely have the same standard deviation O There is not enough information to predict the relative sizes of their standard deviations