
Concept explainers
Change 807 mm to hm.

Answer to Problem 1T
Solution:
Explanation of Solution
Given: The units, 807mm.
Explanation:
There are 10 millimeters (mm) in 1 centimeter, 10 centimeters in 1 decimeter, 10 decimeters in one meter, 10 meters in one decameter, 10 decameters in one hectometer and 10 hectometers in one kilometer.
The conversion from millimeter to hectometer includes five steps where for each step, the given term is divided by 10. Hence, for five steps, 807 shall be divided by 100,000.
Hence, it is required to move the decimal place to five places left as shown below.
Hence, the amount of 807mm. into hm. comes out to be
Want to see more full solutions like this?
Chapter 9 Solutions
Thinking Mathematically (6th Edition)
Additional Math Textbook Solutions
Elementary & Intermediate Algebra
College Algebra Essentials (5th Edition)
Pathways To Math Literacy (looseleaf)
Thinking Mathematically (6th Edition)
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Calculus: Early Transcendentals (2nd Edition)
- Find the z score that corresponds to the given area 30% below z.arrow_forwardFind the following probability P(z<-.24)arrow_forwardExercises Evaluate the following limits. 1. lim cot x/ln x +01x 2. lim x² In x +014 3. lim x* x0+ 4. lim (cos√√x)1/x +014 5. lim x2/(1-cos x) x10 6. lim e*/* 818 7. lim (secx - tan x) x-x/2- 8. lim [1+(3/x)]* x→∞0arrow_forward
- In Exercises 1 through 3, let xo = O and calculate P7(x) and R7(x). 1. f(x)=sin x, x in R. 2. f(x) = cos x, x in R. 3. f(x) = In(1+x), x≥0. 4. In Exercises 1, 2, and 3, for |x| 1, calculate a value of n such that P(x) approximates f(x) to within 10-6. 5. Let (an)neN be a sequence of positive real numbers such that L = lim (an+1/an) exists in R. If L < 1, show that an → 0. [Hint: Let 1111 Larrow_forwardiation 7. Let f be continuous on [a, b] and differentiable on (a, b). If lim f'(x) xia exists in R, show that f is differentiable at a and f'(a) = lim f'(x). A similar result holds for b. x-a 8. In reference to Corollary 5.4, give an example of a uniformly continuous function on [0, 1] that is differentiable on (0, 1] but whose derivative is not bounded there. 9. Recall that a fixed point of a function f is a point c such that f(c) = c. (a) Show that if f is differentiable on R and f'(x)| x if x 1 and hence In(1+x) 0. 12. For 0 л/2. (Thus, as x л/2 from the left, cos x is never large enough for x+cosx to be greater than л/2 and cot x is never small enough for x + cot x to be less than x/2.)arrow_forwardConstruct a histogram for the spot weld shear strength datain Exercise 6.2.9. Comment on the shape of the histogram. Doesit convey the same information as the stem-and-leaf display? Reference: Exercise 6.2.9 is found in the image attached belowarrow_forward1. Show that f(x) = x3 is not uniformly continuous on R. 2. Show that f(x) = 1/(x-2) is not uniformly continuous on (2,00). 3. Show that f(x)=sin(1/x) is not uniformly continuous on (0,л/2]. 4. Show that f(x) = mx + b is uniformly continuous on R. 5. Show that f(x) = 1/x2 is uniformly continuous on [1, 00), but not on (0, 1]. 6. Show that if f is uniformly continuous on [a, b] and uniformly continuous on D (where D is either [b, c] or [b, 00)), then f is uniformly continuous on [a, b]U D. 7. Show that f(x)=√x is uniformly continuous on [1, 00). Use Exercise 6 to conclude that f is uniformly continuous on [0, ∞). 8. Show that if D is bounded and f is uniformly continuous on D, then fis bounded on D. 9. Let f and g be uniformly continuous on D. Show that f+g is uniformly continuous on D. Show, by example, that fg need not be uniformly con- tinuous on D. 10. Complete the proof of Theorem 4.7. 11. Give an example of a continuous function on Q that cannot be continuously extended to R. 12.…arrow_forward3. Explain why the following statements are not correct. a. "With my methodological approach, I can reduce the Type I error with the given sample information without changing the Type II error." b. "I have already decided how much of the Type I error I am going to allow. A bigger sample will not change either the Type I or Type II error." C. "I can reduce the Type II error by making it difficult to reject the null hypothesis." d. "By making it easy to reject the null hypothesis, I am reducing the Type I error."arrow_forwardThe 2004 presidential election exit polls from the critical state of Ohio provided the following results. The exit polls had 2020 respondents, 768 of whom were college graduates. Ofthe college graduates, 412 voted for George Bush.a. Calculate a 95% confidence interval for the proportion ofcollege graduates in Ohio who voted for George Bush.b. Calculate a 95% lower confidence bound for the proportion of college graduates in Ohio who voted for George Bush.arrow_forward1. The yield of a chemical process is being studied. From previous experience, yield is known to be normally distributed and σ = 3. The past 5 days of plant operation have resulted in the following percent yields: 91.6, 88.75, 90.8, 89.95, and 91.3. Find a 95% two-sided confidence interval on the true mean yield. 2. A research engineer for a tire manufacturer is investigating tire life for a new rubber compound and has built 16 tires and tested them to end-of-life in a road test. The sample mean and standard deviation are 60,139.7 and 3645.94 kilometers. Find a 95% confidence interval on mean tire lifearrow_forwardThe following two questions appear on an employee survey questionnaire. Each answer is chosen from the five-point scale 1 (never), 2, 3, 4, 5 (always).Is the corporation willing to listen to and fairly evaluatenew ideas?How often are my coworkers important in my overall jobperformance?arrow_forwardCloud seeding, a process in which chemicals such as silver iodide and frozen carbon dioxide are introduced by aircraft into clouds to promote rainfall, was widely used in the 20th century. Recent research has questioned its effectiveness [“Reassessment of Rain Enhancement Experiments and Operations in Israel Including Synoptic Considerations,” Journal of Atmospheric Research (2010, Vol. 97(4), pp. 513–525)]. An experiment was performed by randomly assigning 52 clouds to be seeded or not. The amount of rain generated was then measured in acre-feet. Here are the data for the unseeded and seeded clouds: Unseeded: 81.2 26.1 95.0 41.1 28.6 21.7 11.5 68.5 345.5 321.2 1202.6 1.0 4.9 163.0 372.4 244.3 47.3 87.0 26.3 24.4 830.1 4.9 36.6 147.8 17.3 29.0 Seeded: 274.7 302.8 242.5 255.0 17.5 115.3 31.4 703.4 334.1 1697.8 118.3 198.6 129.6 274.7 119.0 1656.0 7.7 430.0 40.6 92.4 200.7 32.7 4.1 978.0 489.1 2745.6 Find the sample mean, sample standard deviation, and range of rainfall for a. All 52…arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell



