Math - Others Questions

Calculate the weighted mean for a distance which was observed 5 times as 256 82 256 79 256 94 256 81 256 78 ft The observations were given a weight of 3 1 1 3 and 2 respectively 256 82 ft 156 82 ft 256 78 ft

Calculate the length of an arc between two points on the Earth s surface given the radius of the Earth is 6 378 371 m and the angle subtended by the two points is 5 degrees O 105 993 65 m 658 781 49 m O405 712 89 m

Convert 75 91 feet to meters O24 784 m 15 971 m 22 954 m O O 23 137 m

Calculate the length of an arc between two points on a circle given the radius is 200 ft and the angle subtended by the two points is 15 degrees 52 36 ft 61 78 m 61 78 ft ro

Which of the following is most likely NOT a type of land survey Hydrographic Survey Interview Survey Topographic Survey

A pharmaceutical salesperson wants to schedule appointments with three doctors to introduce a new line of antibiotics Use a tree diagram to determine all possible schedules that would allow th salesperson to meet with each doctor List those schedules Click to view the doctors availability A Dr Brown Wed at 9 00 Dr Garcia Mon at 10 00 Dr Lopez Wed at 9 00 B Dr Brown Thu at 9 00 Dr Garcia Mon at 9 00 Dr Lopez Thu at 9 00 c Dr Brown Thu at 9 00 Dr Garcia Mon at 9 00 Dr Lopez Mon at 10 00 D Dr Brown Wed at 9 00 Dr Garcia Mon at 9 00 Dr Lopez Wed at 9 00 E Dr Brown Thu at 9 00 Dr Garcia Mon at 10 00 Dr Lopez Wed at 9 00 F Dr Brown Wed at 9 00 Dr Garcia Mon at 9 00 Dr Lopez Mon at 10 00 G Dr Brown Thu at 9 00 Dr Garcia Mon at 10 00 Dr Lopez Mon at 10 00 H Dr Brown Wed at 9 00 Dr Garcia Mon at 10 00 Dr Lopez Mon at 10 00 Dr Brown Wed at 9 00 Dr Garcia Mon at 10 00 Dr Lopez Thu at 9 00 J Dr Brown Mon at 10 00 Dr Garcia Mon at 9 00 Dr Lopez Mon at 10 00 K Dr Brown Mon at 10 00 Dr Garcia Mon at 10 00 Dr Lopez Wed at 9 00 L Dr Brown Thu at 9 00 Dr Garcia Mon at 9 00 Dr Lopez Wed at 9 00 M Dr Brown Mon at 10 00 Dr Garcia Mon at 9 00 Dr Lopez Wed at 9 00 N Dr Brown Mon at 10 00 Dr Garcia Mon at 10 00 Dr Lopez Mon at 10 00 O Dr Brown Mon at 10 00 Dr Garcia Mon at 9 00 Dr Lopez Thu at 9 00 L GPS

Let s eat A fast food restaurant chain has 586 outlets in the United States The following table categorizes them by city population size and location and presents the number of restaurants in each category A restaurant is to be chosen at random from the 586 to test market a new menu Round your answers to four decimal places Population of City Under 50 000 50 000 500 000 Over 500 000 NE 30 57 149 Send data to Excel Region SE SW NW 35 14 9 92 71 28 23 27 51 a Given that the restaurant is located in a city with a population over 500 000 what is the probability that it is in the Northeast b Given that the restaurant is located in the Southeast what is the probability that it is in a city with a population under 50 000 c Given that the restaurant is located in the Southwest what is the probability that it is in a city with a population of 500 000 or less d Given that the restaurant is located in a city with a population of 500 000 or less what is the probability that it is in the Southwest e Given that the restaurant is located in the South either SE or SW what is the probability that it is in a city with a population of 50 000 or more

The following table presents the number of reports of graffiti in each of New York s five boroughs over a one year period These reports were classified as bei open closed or pending A graffiti report is selected at random Compute the following probabilities Round final answer to four decimal places Part 1 of 6 Borough Bronx Brooklyn Manhattan Part 2 of 6 Queens Staten Island Total Source NYC OpenData a The report is open and comes from Manhattan The probability that the report is and comes from Manhattan is b The report is closed or comes from Queens Open Closed Pending Total Reports Reports Reports 1121 1622 80 1170 2706 744 3380 1353 2043 83 118 4471 9869 Send data to Excel 0513 X 48 25 25 0 178 2823 3924 4149 3421 201 14 518 3

25 Points DETAILS SCALCET8 3 8 501 XP A common inhabitant of human intestines is the bacterium Escherichia coli A cell of this bacterium in a nutrient broth medium divides into two cells every 20 minutes The initial population of a is 58 cells a Find the relative growth rate Assume t is measured in hours k b Find an expression for the number of cells after t hours P t c Find the number of cells after 8 hours cells d Find the rate of growth after 8 hours Round your answer to three decimal places billion cells per hour e When will the population reach 20 000 cells Round your answer to two decimal places MY NOTES PRACTICE ANC

4 What are the lengths of AB and AO Show your work and round if needed

3 A portfolio is composed of two stocks A and B Stock A has a standard deviation of return of 35 while stock B has a standard deviation of return of 15 The correlation coefficient between the returns on A and B is 45 Stock A comprises 40 of the portfolio while stock B comprises 60 of the portfolio The standard deviation of the return on this portfolio is

15 Convert x t 5 cos 10t 30 2 sin 10t 20 6 cos 10t 80 into a single sinusoid as in Problem 13 16 Find the delay between x t cos 10t 20 and x2 t sin 10t 10 17 Equations 2 23 and 2 24 were developed to convert a sinusoid such as cos wt 0 into a sine and cosine wave Derive the equations to convert a sinusoid based on the sine function sin wt 0 into a sine and cosine wave Hint Use the appropriate identity

1 A portfolio is composed of two stocks A and B Stock A has a standard deviation of return of 24 while stock B has a standard deviation of return of 18 Stock A comprises 60 of the portfolio while stock B comprises 40 of the portfolio If the variance of return on the portfolio is 0380 the correlation coefficient between the returns on A and B is

Activity 4 Please match the following sentence to the three steps of CEO agenda 1 Redefine the wealth management strategy 2 activate the client book and 3 industrialize the production model A strong focus on target markets is required due to regulatory requirements and limitations on cross border business Prioritizing markets can be based on criteria such as the value proposition cultural fit leverage of the business model regulatory requirements Banks can build up front office momentum by concentrating on specific markets and client segments using a task force approach Banks can develop the organization by improving the quality of their advice and implementing best practice approaches Key levers for realizing top line improvements are introducing strategic pricing with target revenues for different client groups Players should consider developing their own effective approach to sustainable efficiency improvement and stringent cost management through both strategic and operational levers Wealth managers can reduce complexity by systematically streamlining processes in a front to back office approach

4 Find the Nyquist rate for the following signals 15 points a X t 3cos 50nt 10sin 300nt cos 100nt b Sinc 200t

Triangle ABC is a scaled copy of t longest side of ABC Side DE measures 8 cm and is the fo 1 Triangle ABC is a scaled copy of triangle DEF with what scale fader 2 Triangle DEF is a scaled copy of triangle ABC with what scale factor 5 The diagram shows two intersecting lines Find the missing angle measures 15 102 De B

3 olve each quadratic equation using the quadratic formula Round to two decimal b 4x 3x 8 0 ay 2x 2x 17x 27 0

5 15x 8x 1 0

the following quadratic functions use the discriminant to determine the nature of the root b f x 6 7x x f x 3x 4x 2 c f x 9x 24x 16

d 8 x 3x 12 e x 4

c 7 x x d x 3x 11

e x 2x 3 f 10 19x 6x

b 4x 36 0

each quadratic equation by factoring a x 3x 10 0

A metal warehouse whose dimensions are shown below feeas paint The front and back of the warehouse each have z rolup doors measuring zo i by 31 ft each The side of the warehouse facing the parking lot has an entry door measuring 54 in by 80 in The other side of the warehouse has no window or door Use the given information to answer the questions Each tab shows a different view of the warehouse a Assuming the roof and doors require no paint what is the area in square feet that needs paint Do not round any intermediate computations and give your answer as a whole number 0 2 0 ft b The paint to be used is sold in cans Each can contains enough paint to cover 640 ft Assume there is no paint yet and partial cans cannot be bought How many cans will need to be bought in order to paint the warehouse cans c What is the total cost of the paint needed for the warehouse if each can costs 38 50 0 Conversion facts for length 1 foot ft 12 inches in 1 yard yd 3 feet ft 1 yard yd 36 inches in Front right view Back left view K 35 ft

Write the equation of the line in slope intercept form y mx b 8 6 5 4 3 2 1 8 7 6 5 4 3 2 1 1 2 3 5 6 7 8 2 3 4 5 66 7 8 Question Help Message instructor Post to forum

Write the equation of each line Be sure to use the correct variable in each equation 6 Equation 5 3 2 N 7 6 5 4 3 2 1 1 2 3 4 45 6 7 12 4 5 6 7

10 6 10 8 6 4 2 4 2 2 4 6 8 10 4 16 8 10 a Write an equation for the graph where y depends on

Find an equation for the line that passes through the point P 0 2 and has a slope 3

Write an equation for the graph below in terms of I 3 y 2 33 2 7 1 3 4 5 2 q

7 6 5 4 3 2 1 Equation 74 9 6 5 3 1 T 2 3 4 S 6 1 W 3 4 5 6 7 fortructor rum

Given the points 2 0 and 0 0 on a line find the equation of the line

Given a line passes through point 10 y Question Help Message instructor D Post to forum Submit Question Question 11 Given the points 4 5 and 0 5 on a line find the equation of the line y Question Help Message instructor Post to forum Submit Question 0 1 pt2 98 Det Question 12 0 1 pt 298 De 1 and passing through 8 1 Write your equation in the form

y mx b y Question Help Message instructor Post to forum Submit Question Question 13 0 1 pt2 98 Details Find the equation in terms of x of the line through the points 5 2 and 3 1

AB B Air pressure at this location is considered low pressure As air reaches higher altitudes the temperature decreases until the dew point is reached C D As air moves up in altitude the temperature of the air decreases Warm moist air is less dense than cooler air and begins to rise Order for the Blue Copy Series of Factors 1st 2nd 3rd Order Letter 4th

d the equation in terms of c of the line through the points 2 4

A custom guitar shop sells two types of guitars electric and acoustic The creation process of each guitar is broken into three parts building the base guitar applying the finish paint and adding accessories The time requirements in days and the total days available for each phase of the creation process are shown in the below Electric Acoustic Total days Base guitar creation 6 4 564 Applying the Adding finish paint accessories 2 2 202 5 340 If they profit 900 from each electric guitar and 700 from each acoustic guitar how many of each guitar type should be made to maximize the shop s profit What is the shop s maximum profit in dollars The maximum profit is when X X electric guitars and Xacoustic guitars are made Determine if the shop has any leftover time in days for each task entering 0 if no time is leftover

t a factory workers are draining a large vat containing water The water is being drained at a constant rate The table below shows the amount of water in at after different amounts of time Time minutes 15 20 25 30 Water liters 590 500 410 320 Answer the following questions a How much water was in the vat when the workers started draining it liters b Choose the statement that best describes how the time and the amount of water in the vat are related Then give the value requested As time increases the amount of water in the vat decreases At what rate is the amount of water in the vat decreasing liters per minute As time increases the amount of water in the vat increases At what rate is the amount of water in the vat increasing liters per minute 8 08 X

Question 16 Suppose that the world s current oil reserves is R 2060 billion barrels If on average the total reserves is decreasing by 18 billion barrels of oil each year answer the following A Give a linear equation for the total remaining oil reserves R in billions of barrels in terms of t the number of years since now Be sure to use the correct variable and Preview before you submit R B 15 years from now the total oil reserves will be Submit Question billions of barrels C If no other oil is deposited into the reserves the world s oil reserves will be completely depleted all used up approximately years from now Round your answer to two decimal places Question Help Video Message instructor

For each function below identify the Slope and Vertical Intercept Write your numerical answers as whole numbers or reduced fractions Write your intercepts as ordered pairs Write DNE if a slope or an intercept Does Not Exist Function Slope Vertical Intercept 10y 2x 8 y 8 y 6 Y 3 4 I 3 I

Determine the type of distribution center and spre mean and five number summaries minimum first quartile median third quartile maximum Round as needed Use your results to compare the two distributions Part C An investment firm holds shares of many companies including XYZ Company The firm has determined that the stock prices of these companies are normally distributed with a mean of 5 54 and a standard distribution of 0 12 If a share of stock in XYZ Company has a price of 5 65 calculate a z score for this price What does this z score tell you about how XYZ Company s shares compare to the rest of the firm s holdings

3 An investment firm claims that the mean increase in price per share of companies it invests in is 1 95 per share every year A national sample of 100 companies shows that the mean increase in price per share is 1 82 with a standard deviation of 0 30 Would you be skeptical of the firm s claim Write and test hypotheses to evaluate the claim Explain your findings

Which of the three main types of studies is shown in each example below Explain your reasoning Study 1 A fund manager studies whether the values of her clients investments increase decrease or stay the same based on applying her normal investment strategy or using a more aggressive strategy Study 2 An investment company polls randomly selected business school students about which industry they would most likely invest their money in Study 3 A firm is considering a new website design An intern determines how long each visitor stays on the site using the new design and then using the old design

Stocks and bonds are bought and sold on a stock market Usually the goal of a person who buys stock is to hold shares of stock for a period of time and then sell them for more than the purchase price You can use statistics to analyze stock prices and make decisions based on your findings 1 The tables below show the closing price in dollars per share of stock in XYZ Company for the first 12 weeks of two successive years Last year Week Stock Price This year Week Stock Price 1 5 34 1 6 00 2 5 40 5 41 2 3 5 95 3 4 4 5 5 50 5 42 5 92 5 80 5 5 81 6 5 55 5 55 6 7 5 75 7 8 5 57 8 5 75 5 75 9 5 70 9 10 5 65 10 11 5 66 11 12 5 68 12 5 64 5 52 5 40 5 03 Part A What is a statistical question you could ask that could be used to compare the data What is a statistical variable that is common between both data sets Is that variable categorical or quantitative Explain

the following two lines Line 3 y x 3 Line 4 x 6y 18 The slope of Line 3 is m The slope of Line 4 is m Finally which of the following is true Select an answer Select an answer Line 3 is parallel to Line 4 Line 3 is perpendicular to Line 4 Line 3 is neither parallel nor perpendicular to Line Consider the following two lines Line 5 y 5 3x 1 Line 6 y x 7

Graph the line y 2x 1 5 4 3 2 1 5 3 2 1 1 2 3 4 1 2 3 4

4 is 2 A 9 5 4 3 2 1 1 2 3 4 5 2 Identify the function whose graph appears above as f x a tan bx or f x a cot b x m A

Graph the equation y 5 4 3 2 Clear All Draw 1 7 4 3 2 1 2 3 2 3 4 5 2 2 Z 2 3 4 5

2 1 Evaluate each power without a calculator 10245

Visualize It Complete the flow map using the words with a What can you do products ones as tens Multiplying What can you use Use and mental math Use Understand Vocabulary Complete the sentences What are some examples 3 x 48 3 x 50 150 12 ones 1 ten 2 ones 1 The states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products 2 A number that is multiplied by another number to find a product is called a 3 A method of multiplying in which the ones tens hundreds and so on are multiplied separately and then the products are added together is method