The graph of the function f, consisting of three line segments and a quarter of a circle, is shown above. Let g be the function defined by g(x) = S f(t) dt. a) Find the average rate of change of g...

Suppose Melody owns a business giving piano lessons. Assume that the market for piano lessons is perfectly competitive and that the equilibrium price of a piano lesson is $20. Melodys total costs...

Water at 10C is to flow from reservoir A to reservoir B through a cast-iron pipe (8= 0.26 mm) of length 20 m at a rate of 0.002 m/s. The system contains a sharp-edged entrance (K = 0.5) and six...

The following table represents data that were collected by 20 groups of students who compared the respiration rate of mung beans with that of bean beetles. For this experiment, students placed equal...

76% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in...

Twelve discs numbered 1 to 12 are placed in a bag. Three discs are drawn at random, without replacement, from the bag. (i) What is the probability that the number 9 is drawn? (ii) What is the...

(a) Let p, q, r, s be integers with p q and r s. How many distinct functions are there with domain [p..q], and codomain [r..s]? (b) Let p and q be integers with p q. How many distinct functions...

A construction company has taken up a project to build a high-rise office complex. The time required to complete a construction project is normally distributed with a mean of 80 weeks and a standard...

Suppose a researcher conducts an analysis of the relationship between cardiovascular disease and type II diabetes. The basic summary of the findings are presented in the following table. A) Describe...

A research company conducts a poll in a particular geographical area asking adults to imagine a ladder with 10 rungs. Rung 0 represents the worst possible life and rung 10 represents the best...

Sociologists recognize a phenomenon called social diffusion, which is the spreading of a piece of information, a technological innovation, or a cultural fad among a population. The members of the...

A University Administrator has some data on student performance in a set of courses. She finds out that sections with honors students were over sampled, so that data are most likely skewed. She wants...

User IDs on an old computer system consist of 4 letter sequences from the first 8 letters of the English alphabet: a, b, c, d, e, f, g, h. Note that the same letter can be used any number of times in...

Last weekend I ordered a 12-inch deep-dish pizza at my favorite pizza place. My little brother decided to cut the pizza differently than usual, so he cut off a slice from point D to B in the diagram...

The acceleration due to gravity, g(h), at a height h, meters above sea level is given by 3.99 - 1014 9(h) = (6.371 - 10) + h)* where 6.371 10 is the radius of the earth in meters. Assume h 2 0. a....

You are the manager of the Mighty Fine mutual fund. The following table reflects the activity of the fund during the last quarter. The fund started the quarter on January 1 with a balance of $40...

The amount of meat on a Subbies foot-long sub follows a Normal distribution, with a mean of 8 ounces and a standard deviation of 0.6 ounces. A random sample of 25 subs is selected every day and...

a. Calculate the Confidence and Lift Ratio for the association rule: If prosciutto, then gelato (prosciutto = antecedent, gelato is the consequent) b. Evaluate the results from a. c. Calculate the...

If M and N are the midpoints of the non-parallel sides of a trapezoid, it makes sense to call the segment MN the midline of the trapezoid. Why? (It actually should be called the midsegment, of...

Stew has a pitching algorithm that never changes. In the first pitch of each plate appearance, he throws a fastball 70% of the time. The following pitch selection is determined *only* by the type of...

Repeat Exercise 3.2.1 for the following schemas and sets of FDs: Exercise 3.2.1 Consider a relation with schema R(A,B,C ,D ) and FDs A B C , C D , and D A. a) What are all the nontrivial FDs that...

Prove the Following Suppose there are two samples ril, F12,...,in and r21, 122, ..., *2n. Let c be a constant. 1. If rli = r2i + c,i = 1,2,...,n, then a) ri = *2 +e and b) s, = s. 2. If 1li = cr2i, i...

let I = { I1, I2, I3, , I10 } be a set of items, where Ij denotes an item ID. Consider the transaction database D, defined in the table below: Transaction ID List of Items in the Transaction T1 I1,...

The goal is to use compound interest formulas to investigate and compare savings situations and clearly communicate the solution. Role: You are the financial consultant for a young couple who are in...

Explain the logic as to how Nelsons three-day course could positively influence Gourmet Foods profitability.

State police believe that 20% of the drivers traveling on a major interstate highway exceed the speed limit. They plan to set up a radar trap and check the speeds of the first 70 cars which pass the...

Lindsey Smith Inc. has the following cost structure for the upcoming year. Sales (20,000 units @ $25) $500,000 Manufacturing costs: Variable $10 per unit Fixed $180,000 Marketing and administrative...

Jerome has kept track of the hours he spent studying and his marks on examinations. a) Create a scatter plot for Jerome?s data and classify the linear correlation. b) Perform a regression analysis....

We're All Nuts. Inc. sells bags of cashews that are advertised as holding 15 oz. of nuts. The quality control manager at the manufacturing plant is responsible for ensuring that the mean weight of...

Find the distance between (1,/4,0) and(1,3/4,) , where points are given in spherical coordinates.

The Anytown Restaurant has recorded the following financial information: Food costs $365,000 Labor costs $315,000 $224,000 All other costs (including fixed costs) Net income (profit) Number of guests...

In a Q-system, the daily demand is 850 units with a standard deviation of 12 units. The Cycle service level is 97.5%. What is the reorder point?

A random sample of DVC students were asked "How many books did you purchase this semester for your classes?" The results are displayed in this dot plot. What does one dot represent on this dot plot?...

Two years ago, a complete survey of all students in a large university indicated that the mean number of cigarettes smoked per day by male students was 8.3 with a standard deviation of 3.7. The...

A cellphone retailer uses a large number of common batteries in one of its most popular lines of phones. After testing a large number of them, they found that the average time to failure is 1/l =7800...

A manufacturer wishes to assess the percentage of defective items in a large batch produced by a particular machine. He tests a random sample of 300 items and finds that 45 are defective. Calculate a...

In a random sample of seven people, the mean driving distance to work was 19.2 miles and the standard deviation was 4.1 miles. Assume the population is normally distributed and use the t-distribution...

Assume the random variable x is normally distributed with mean u= 89 and standard deviation o = 4. Find the indicated probability. P(x < 84) P(x < 84) = (Round to four decimal places as needed.)

The diameters (in inches) of 17 randomly selected bolts produced by a machine are listed. Use a 95% level of confidence to construct a confidence interval for (a) the population variance o and (b)...

The plots below show sampling distributions of p-values for different values of power. Match the distribution to the power. Please note that for this problem, you must pick values of power for all...

A sample of silty sand in its natural conditions had a volume of 120cm3 and weighed 149g. After saturating the sample with water, it weighed 188g. The sample was then drained by gravity until it...

To earn some money, John is thinking of staring up a "Back-Yard BBQ" stand at his university campus this summer. The basic "BBQ" equipment will cost $3390 3390, and the variable cost (VC) for each...

You would use four parallel arrays for what kind of an application? e. rainfall and temperatures for the year Where would you use arrays and how? What are some methods of assigning some data?...

1- The outflow concentration from a reactor is measured at a number of times over a 24-hr period: t, hr 5.5 10 12 14 16 18 20 24 C, mg/ 1.5 2.3 2.1 4 5 5.5 5 3 1.2 The flow rate for the outflow in...

Given the plaintext [0001 0203 0405 0607 0809 0A0B 0C0D 0E0F] and the key [0101 0101 0101 0101 0101 0101 0101 0101] a. Show the original contents of state, displayed as a 4x4 matrix. b. Show the...

1. Draw triangle ABC so that angles A and B are both 42 degrees. Why should AB be longer than BC? Extend CB to E, so that CB = BE, Mark D on AB so that DB-BC then draw the line ED, which intersects...

Let R be an equivalence relation on a set X. Prove that U{R=]|z X} = X. [4]

Questions 14 and 15 are related A traffic survey at an intersection was conducted over one hour in 5 different occasions. The number of vehicles recorded in each hour were 42, 46, 55, 60, and 38. It...

Your bakery produces loaves of bread with 1 pound written on the label. Here are weights of randomly sampled loaves from todays production: 1:02,0:97,0:98,1:10,1:00,1:02 0:98,1:03,1:03,1:05,1:02,1:06...

Running times (Y) and maximal aerobic capacity (X) for 14 female Runners. Data collected for running times and maximal aerobic capacity are listed below X: 61.32 55.29 52.83 57.94 53.31 51.32 52.18...

Mauritius is one of the island where obesity and cardiovascular diseases are at its peak. According to Victoria Hospital most of the people suffering from obesity are from Plaines Willems and those...

Answer all questions

A stem-and-leaf plot for the number of touchdowns scored by all Division 1A football teams is shown below. Complete parts (a) through (c).

i need these two questions step by step Q1: Wisconsin is an important milk-producing state. Some people might argue that because of transportation costs, the cost of milk increases with the distance...

2. During a chemical reaction, the function y = f(t) models the amount of a substance present, in grams, at time t seconds. At the start of the reaction (t = 0), there are 10 grams of the substance...

The Delta Secret Philosophy society has just recruited three soccer players, two hockey players, and four Candy Crush players. The society president would like to select two of them to join the...

A financial analyst at Goldman Sachs ran a regression analysis of monthly returns on a certain investment(Y) versus returns for the same month on the Standard & Poor's index (X). The regression...

The Ajax Production Company has determined their profit function is given by: P(x) = (-x^2 / 30) + 140x - 72000 Find production levels where their profit is increasing and levels for which the profit...

Prove that each positive integer n has a unique representation in the form n = a_1 1! + a_2 2! + a_3 3! + + a_t t! for some positive integer t and some integers a1, a2, . . . , at where at 6= 0...

Apply the Midpoint and Trapezoid Rules to the following integral. Make a table showing the approximations and errors for n = 4, 8, 16, and 32. The exact value of the integral is given for computing...

A small business is planning to have a local company print custom shirts for them. The quoted price for creating and printing the shirts is as follows: The design and set-up fee is $75. The first 75...

A small city is divided into four quadrants of 25 square kilometers each and has two fire trucks that can only be dispatched to one quadrant in a given day. The number of fires in the city on a given...

A horse on a merry-go-round moves in such a way that its height (in metres) above the floor is h(t) = 0.8 sin[/2 (t 1)] + 1.8 where t 0 is time in seconds. (a) Using the formula for h(t), find its...

For this project we locate a trash dumpster in order to study its shape and construction. We then attempt to determine the dimensions of a container of similar design that minimize construction cost....

1. A catered menu is to include a soup, a main course, a dessert, and a beverage. Suppose a customer can select from four soups, five main courses, three desserts, and two beverages. How many...

4. A twice differentiable function, f(x), has a domain of [-6, 6] (4) -6 < x < -2 x = -2 -2 < x < 0 x = 0 0 < x < 6 f' does not exist + does not exist a) Identify the value(s) of x over [-6, 6] for...

Pascal's Identity states that 1 (0)-(3))+(7) k 1 k = k =o (3) k=0 1 Use Pascal's identity to prove that the sum of each row of Pascal's triangle is twice the sum of the previous row. = 2n Please do...

A ball is thrown upward and has height function h(t) = -9t2 + 54t, t > 0 where s is in meters and t is in seconds. Record your answer to each question in the corresponding answer box. Input numbers...

Determine whether the matrix is in row-echelon form. If it is, determine whether it is also in reduced row-echelon form. 1 3 0 1 00 10-4 1 0 0 0 (c) 0 0 1 -100 (a) 1 1 1010 (b) 0 1 -1 3 0 0 0 0. 0 0...

Find the maximum and minimum values of f(x,y)=xy on the ellipse 7x2+y2=4. maximum value = minimum value =

In a book the character are trying to determine whether the Poisson probabilistic model can be used to describe the locations that rockets landed in city. They divided the city into 0.25km 2 regions....

1. A total of 100 undergraduates were recruited to participate in a study on the effects of study location on learning. The study employed a 2 x 2 between-subjects design, with all participants...

You are a small business consultant, and your client will be starting a Beekeeping Store, which will provide all the materials needed for beekeepers (apiarists) as well as provide consulting advice...

Monogram Masters states on its website that 92% of its orders are ready to ship within five working days. A simple random sample of 200 of the 3,000 orders received during the past month are pulled...

The Knapsack Problem ( KP ) gives you a target integer t and an array data with n positive integers, and it returns the subset of data with a sum as close as possible to t without going over. The...

How much fruit do adolescent girls eat? Figure 1.14 (page 39) is a histogram of the number of servings of fruit per day claimed by 74 seventeen-year-old girls. (a) With a little care, you can find...

Prove that if {C,D} divides AB harmonically on the line l and {C',D'} divides A'B' harmonically on the line l' then there exists a unique projectivity that maps A, B, C and D to A', B', C' and D',...

According to the graph below, what can be recommended (Effort stands for Sales Reps)? a. Add a sales rep to Dallas and St Louis b. Add a sales rep to Cleveland and Atlanta c. Drop off a sales rep...

Suppose we have a binomial experiment with n = 40 trials and a probability of success p = 0.85. a) Is it appropriate to use a normal approximation to this binomial distribution? Why? b) Compute and...

The mean height of men is 69.7 inches. Assume that the heights of men are normally distributed, with a standard deviation of 2.9 in. a. 10% of men are taller than which height? Round your answer to 1...

An electric utility is considering 5 possible locations to build additional power plants over the next 20 years. The cost of building a plant at each site, the annual operating cost and the...

Determine which of the following expressions are exact differentials: (a) df (y+z)dx+ (z + y)dy + (x + y)dz (b) df 2xy dx + 2yz dy-(1-x-2y'zldz (c) df = z dx + x dy + y dz (d) df (x + 3xy'z)dx + (y +...

The Millard Division's operating data for the past two years are provided below: Year 1 Year 2 Return on investment 12% 36% Net operating income $600,000 Turnover ? 3 Margin ? Sales $3,320,000 ? 04...

Returns on a certain business venture, to the nearest $1,000, are known to follow the probability distribution PX) |-2,000 0.1 |-1,000 0.1 0.2 1,000 0.2 2,000 0.3 3,000 0.1 a. What is the most likely...

8. Another way to say, " The cat has claws and the dog doesn't bark" is "It is not true that if the cat has claws then the dog barks." 9. Another way to say "It is not true that all even numbers are...

The equation of motion for free vibration of the triple pendulum shown in Fig I are given by: [3 2 1a [3 0 0]e ml 2 2 10,+ mgl 0 2 0 0 0 10, 1 11 Assuming a solution of the form: 0(0) = 0, cos(or),...

44 adults favor the use of unmanned drones by police agencies Twelve US adults are randomly selected Find the probability that the number of US adults who favor the use of unmanned drones by police...

In this question f(t) is a real valued odd square integrable function. a) What does it mean for f(t) to be odd. b) Prove that the Fourier transformation of f(t) is a purely imaginary function and may...

The property and equipment footnote from Tesla foliows. Assume that 25% of the amount classified as "Land and buildings" pertains to the cost of the Land. Property and Depreciation Our property,...

A service entrance utilizes PVC conduit but there are two 90's and metal rather than PVC 90's are used In many installations this is used to prevent the scoring of the inside of the PVC conduit as...

Explain whether there is likely to be variability in the following measurements if they were to be taken on 10 consecutive days for the same student. If so, explain whether the variability most...

A polling company reported that 27% of 2302 surveyed adults said that they play baseball. Complete parts (a) through (d) below. a. What is the exact value that is 27% of 2302? The exact value is...

19. Samples of starting annual salaries for individuals entering the public accounting and financial planning professions follow. Annual salaries are shown in thousands of dollars. Public Accountant...

2. An electronic component in an air-conditional system has a failure rate of 0.006 per minute. The expected time to failure for this component is 10000 hours. What proportion of this component would...

4. The life of an automotive battery has an average value of 900 days and variance value of 1225 days?. What percentage of these batteries can be expected to live further than 1000 days? [6]

Western Family Steakhouse offers a variety of low-cost meals and quick service. Other than management, the steakhouse operates with two full-time employees who work 8 hours per day. The rest of the...

There is a bag with three balls numbered 1 to 3. There is also a pack of three cards lettered K, Q, and J. As a trial of an experiment, a ball was chosen and a card drawn. The number (1 to 3) of the...

Provide an example of a complex function which is discontinuous everywhere in the complex plane and justify your example

You need to tile a rectangular (not square) bathroom that has a fiberglass shower already installed. The blueprint is given in a separate file corresponding to your particular dataset. The shower is...

North American lake system. Consider the American system of two lakes: Lake Erie feeding into Lake Ontario. What is of interest is how the pollution concentrations change in the lakes over time. You...