Convert the numeral to a HinduArabic numeral.
A special window in the shape of a rectangle with semicircles at each end is to be constructed so that the outside dimensions are 100 feet in length. See the illustration. Find the dimensions of the...
The property tax, t, on a house is directly proportional to the assessed value, v, of the house. If the property tax on a house with an assessed value of $155,000 is $2325, what is the property tax...
The recommended dosage of the drug ampicillin for pediatric patients is 200 mg per kilogram of a patients weight. If Janine weighs 76 lb, how much ampicillin should she receive? When necessary round...
Refer to the Lincolnville School District bus data. First, add a variable to change the type of engine (diesel or gasoline) to a qualitative variable. If the engine type is diesel, then set the...
Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. cos 20 sin 20 cot 20
A designer of decorative art plans to market solid gold spheres encased in clear crystal cones. Each sphere is of fixed radius R and will be enclosed in a cone of height h and radius r. See the...
Each individual letter of the word TENNESSEE is placed on a piece of paper and all 9 pieces of paper are placed in a hat. If one letter is selected at random from the hat, determine the probability...
On August 5, the billing date, Pat had a balance due of $185.72 on her credit card. Pats transactions during the month of August were (a) Determine the finance charge on September 5 by using the...
The balance on the Razazadas credit card on May 12, their billing date, was $378.50. For the period ending June 12, they had the following transactions. (a) Determine the average daily balance for...
Prove that a 3 by 3 determinant in which the entries in column 1 equal those in column 3 has the value 0.
Find the one-sided limit. lim (3 cos x
Find the one-sided limit. x + x 12 lim 12 x + 4x
Find the limit, if it exists, or show that the limit does not exist. lim (xy 4y)| (, ) (3, 2)
Find the indicated partial derivative. f(x, y, z) = ln 1 - x 2 + y 2 + z 2 /1 + x 2 + y 2 + z 2 ; f y (1, 2, 2)
The wind-chill index is modeled by the function W = 13.12 + 0.6215T - 11.37v 0.16 + 0.3965Tv 0.16 where T is the temperature (C) and v is the wind speed (km/h). When T = 215C and v = 30 km/h, by how...
Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 12 cm if the tin is 0.04 cm thick.
Use the Chain Rule to find dz/dt or dw/dt. z = 1 + xy , x = tan t, y = arctan t
A model for the yield Y of an agricultural crop as a function of the nitrogen level N and phosphorus level P in the soil (measured in appropriate units) is Y(N, P) = kNPe -N-P where k is a positive...
Find the area of the part of the surface z = x 2 + y that lies above the triangle with vertices (0, 0), (1, 0), and (0, 2).
To model spring fawn count F from adult pronghorn population A, precipitation P, and severity of the winter W, environmentalists have used the equation F = a + bA + cP + dW, where a, b, c, and d are...
Evaluate the surface integral S F dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward)...
If the consumption function is given by C = 4200 + 0.75Y, state the marginal propensity to consume and deduce the marginal propensity to save.
A person invests $5000 at the beginning of a year in a savings account that offers a return of 4.5% compounded annually. At the beginning of each subsequent year an additional $1000 is invested in...
Verify that the points (0, 2) and (3, 0) lie on the line 2x + 3y = 6 Hence find the slope of this line. Is the line uphill, downhill or horizontal?
A firms profit function for the production of two goods is given by Find the output levels needed to maximise profit. Use second-order derivatives to confirm that the stationary point is a maximum....
The supply and demand functions of a good are given by where P, Q S and Q D denote the price, quantity supplied and quantity demanded, respectively. (a) Draw sketch graphs of these functions on the...
Name each level of measurement for which data can be qualitative.
Determine whether the distribution is a probability distribution. If it is not a probability distribution, explain why. 2 3 4 0.25 0.15 P(x) 0.30 0.25 0.05
The record high daily temperatures (in degrees Fahrenheit) of a random sample of 64 days of the year in Grand Junction, Colorado, have a sample standard deviation of 16.8F. Use a 98% level of...
As stated by a companys shipping department, the number of shipping errors per million shipments has a standard deviation that is less than 3. Write the claim as a mathematical statement. State the...
Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject H 0 for the level of significance . Left-tailed test z = -1.32 = 0.10
A nonprofit consumer organization says that the mean price of the vehicles the organization rated in a recent year is at least $41,000. In a random sample of 150 vehicles the organization rated in a...
To compare the mean number of days spent waiting to see a family doctor for two large cities, you randomly select several people in each city who have had an appointment with a family doctor. The...
An environmental researcher claims that the mean amount of sulfur dioxide in the air in U.S. cities is 1.15 parts per billion. In a random sample of 134 U.S. cities, the mean amount of sulfur dioxide...
The following table lists the total revenue for each of a few selected companies for the year 2014 Company Revenue for Fiscal Year 2014 (millions of dollars) Walmart...
The following table gives the 2015 total payroll (in millions of dollars) and the percentage of games won during the 2015 season by each of the National League baseball teams. a. Find the least...
Timetrics 2016 survey of insurance professionals explores the use of technology in the industry. The file Technologies contains the responses to the question that asked what technologies these...
A study of selected Kickstarter projects showed that overall a majority were successful, achieving their goal and raising, at a minimum, the targeted amounts. In an effort to identify project types...
Suppose Serena continues to make 67% of her first serves, as in Exercise 61, and serves 80 times in a match. a) What are the mean and standard deviation of the number of good first serves expected?...
Suppose a professional survey of 1016 Canadian adults found that support for scrapping the nickel was high in British Columbia (62%) and Ontario (55%). Do these survey results lead to the conclusion...
The Society for Human Resource Management (SHRM) collaborated with Globoforce on a series of organizational surveys with the goal of identifying challenges that HR leaders face and what strategies...
Aaron, whom we met in Exercise 28, tends to be optimistic about business conditions. What is his maximax strategy that would maximize his results? In Exercise Demand and price are related; raising...
Does your sample size fulfill Evans Rule (n/k 10) or at least Doanes Rule (n/k 5)?
The monthly sales of mufflers follow the normal distribution with a mean of 1200 and a standard deviation of 225. The manufacturer would like to establish inventory levels such that there is only a...
A survey reported that the mean starting salary for college graduates after a three-year program was $33 176. Assume that the distribution of starting salaries follows the normal distribution with a...
The following data is the number of seconds it took to save a large file. Determine the median and the values corresponding to the first and third quartiles. 8.81 6.02 9.45 8.35 7.59 6.67 7.30 7.99...
The following table reports prices and usage quantities for two items in 2016 and 2018. a. Compute price relatives for each item in 2018 using 2016 as the base period. b. Compute an unweighted...
A population has a mean of 150 and a standard deviation of 21. If a random sample of 49 is taken, what is the probability that the sample mean is: (a) Greater than 154 (b) Less than 153 (c) Less than...
Give an example of how convenience sampling could be used in a study of Australian Financial Review Top 1000 CEOs to measure corporate attitudes towards paternity leave for employees.
You are asked to match three songs with the performers who made those songs famous. If you guess, the probability distribution for the number of correct matches is: What is the probability you will...
The spread in the annual prices of stocks selling for under $10 and the spread in prices of those selling for over $60 are to be compared. The mean price of the stocks selling for under $10 is $5.25...
An investigation of the effectiveness of a training program to improve customer relationships included a pre-training and post-training customer survey. To compare the differences, they computed...
The United States Elections Project (electproject .org/2016g, retrieved January 22, 2017) reported that 57.8% of registered voters in California voted in the 2016 presidential election and that this...
A multiple-choice exam consists of 50 questions. Each question has five choices, of which only one is correct. Suppose that the total score on the exam is calculated as where x 1 = number of correct...
Your manager wants to use the total accurate classification rate (percent of all cases properly classified) as the metric to evaluate the divisions models. Is this a good idea? Why or why not?
In 2011, when the Gallup organization polled investors, 34% rated gold the best long-term investment. But in April of 2017 Gallup surveyed a random sample of U.S. adults...
Here is a pie chart prepared by the Census Bureau to show the origin of the more than 50 million Hispanics in the United States in 2010. About what percent of Hispanics are Mexican? Puerto Rican?...
State the research question. Is hand span a good predictor of how much candy you can grab? Using 45 college students as subjects, researchers set out to explore whether a linear relationship exists...
Medical researchers want to compare the success rate of a new non invasive method for replacing heart valves using a cardiac catheter with traditional open-heart surgery. They have 40 male patients,...
Lukes teacher has assigned each student in his class an online quiz, which is made up of 10 multiple-choice questions with 4 options each. Luke hasnt been paying attention in class and has to guess...
A four-sided die is a pyramid whose four faces are labeled with the numbers 1, 2, 3, and 4 (see image). Imagine rolling two fair, four-sided dice and recording the number that is showing at the base...
Choose a young adult (aged 25 to 29) at random. The probability is 0.13 that the person chosen did not complete high school, 0.29 that the person has a high school diploma but no further education,...
Determine the finite population correction factor for each value of N and n. (a) N = 1000 and n = 500 (b) N = 1000 and n = 100 (c) N = 1000 and n = 75 (d) N = 1000 and n = 50 (e) N = 100 and n = 50...
Eight months ago, Louise agreed to pay Thelma $750 and $950, six and 12 months respectively from the date of the agreement. With each payment, Louise agreed to pay interest on the respective...
A $2300 payment due 1 1/2 years ago has not been paid. If money can earn 6.25% compounded semiannually, what amount in 2 years from now would be the economic equivalent to the missed payment?
What amount, 1 1/2 if years from now, is equivalent to $7000 due in 8 years if money can earn 5.2% compounded semiannually?
The maturity value of an investment after 42 months is $8689.32. What was the original investment if it earned 4.25% compounded semiannually?
What will be the maturity value of $5500 placed in a 120-day term deposit paying an interest rate of 2.75%?
On April 1, 2021, Faircloud Variety Company deposited $24 000 into a savings account earning simple interest of 1.5%. How much interest was paid to Fairclouds account on June 30, 2021?
Ethans grandmother deposited $5000 for him in a savings account on his fifteenth birthday on March 30, 2021. How much interest would he have earned in the account by his eighteenth birthday assuming...
(a) With a slight change in notation the transform in (6) is the same as With f(t) = te at , discuss how this result in conjunction with (c) of Theorem 7.1.1 can be used to evaluate {te at }. (b)...
If find (a) (AB) T (b) B T A T 10 -2 -5) A = 18 and B=
In Problem, equations are given whose graphs enclose a region. In each problem, find the area of the region. h(x) = x 2 ; k(x) = x
In Problem, equations are given whose graphs enclose a region. In each problem, find the area of the region. f (x) = x 3 ; g(x) = x 2 + 2x
Draw each of the following vectors, label an angle that specifies the vectors direction, then find its magnitude and direction. a. B(vector) = -4i + 4j b. r(vector) = (-2.0i - 1.0j) cm c. v(vector) =...
A field mouse trying to escape a hawk runs east for 5.0 m, darts southeast for 3.0 m, then drops 1.0 m straight down a hole into its burrow. What is the magnitude of its net displacement?
The radioactive hydrogen isotope 3 H, called tritium, has a half-life of 12 years. a. What are the decay mode and the daughter nucleus of tritium? b. What are the lifetime and the decay rate of...
The barium isotope 131 Ba has a half-life of 12 days. A 250 mg sample of 131 Ba is prepared. What is the mass of 131 Ba after (a) 1 da (b) 10 days (c) 100 days?
The North Valley Real Estate data reports information on homes on the market. Use the selling price of the home as the dependent variable and determine the regression equation using the size of the...
Using simple moving averages and the following time series data, respond to each of the items. a. G raph the time series data. What do you observe? b. Compute all possible forecasts using a...
At Tallahassee Community College, a survey was taken to determine where students studied on campus. Of the 250 students surveyed, it was determined that 177 studied in the library. 138 studied in the...
Determine the complementary angle of the given angle. 13
(a) Find an equation of the tangent plane at the point (4, 2, 1) to the parametric surface S given by (b) Graph the surface S and the tangent plane found in part (a). (c) Set up, but do not evaluate,...
Sketch the solid described by the given inequalities. 2, csc
Let (a) Show that f (x, y) 0 as (x, y) (0, 0) along any path through (0, 0) of the form y = mx a with 0 < a < 4. (b) Despite part (a), show that f is discontinuous at s0, 0d. (c) Show that f is...
In the study referenced in exercise 10.8, researchers also asked whether or not students bought fast food at least one to two times per week. The data are reported by gender in the table. a. Find the...
In problem 8.16, a college chemistry instructor thinks the use of embedded tutors will improve the success rate in introductory chemistry courses. The instructor carried out a hypothesis test and...
The masses, xkg, of 12 objects are such that x = 0.475. Find the value of 1000x and state what it represents.
Express the area of a 53cm by 52cm rectangle using factorials.
Five clowns each have a red wig and a blue wig, which they are all equally likely to wear at any particular time. Find the probability that, at any particular time: a. Exactly two clowns are wearing...
A discrete random variable Y is such that Y {8, 9, 10}. Given that P(Y = y) = ky, find the value of the constant k.
A coin is biased such that heads is three times as likely as tails on each toss. The coin is tossed 12 times. The variables H and T are, respectively, the number of heads and the number of tails...
In Problem reverse the order of integration for each integral. Evaluate the integral with the order reversed. Do not attempt to evaluate the integral in the original form. S. S V1-x dx dy
Let D be a UFD. Show that a nonconstant divisor of a primitive polynomial in D[x] is again a primitive polynomial.
A square piece of card is cut in half and the two pieces placed side by side as shown. a. If the large square has a side length of 4a, write an expression for the total perimeter of the two...
Find the rate of change of a population of size P(t) = t 3 + 4t + 1 at time t = 2.
Proof that If m Z has a prime decomposition m = p 1 k1 . p t kt (k i > 0; p i distinct primes), then there is an isomorphism of rings Z m Z p1 k1 X X Z pt kt .
In the extension of an infinite field K by K(x,y), the intermediate field K(x) is Galois over K, but not stable (relative to K(x,y) and K). [See Exercise 9] Data from exercise 9 (a) If K is an...
A community college notices that an increasing number of full-time students are working while attending the school. The administration randomly selects 128 students and asks how many hours per week...