Concept explainers
E. Calculator Problems
You probably own a calculator and, of course, you are eager to put it to work doing practical math calculations. In this text we include problem sets for calculator users. These problems are taken from real-life situations and, unlike most textbook problems, involve big numbers and lots of calculations. If you think that having an electronic brain-in-a-box means that you do not need to know basic arithmetic, you will be disappointed. The calculator helps you to work faster, but it will not tell you what to do or how to do it.
Detailed instructions on using a calculator with whole numbers appears on page 68.
Here are a few helpful hints for calculator users:
- 1. Always estimate your answer before doing a calculation.
- 2. Check your answer by comparing it with the estimate or by the other methods shown in this text. Be certain that your answer makes sense.
- 3. If you doubt the calculator (they do break down, you know), put a problem in it whose answer you know, preferably a problem like the one you are solving.
Electrical Trades A mapper is a person employed by an electrical utility company who has the job of reading diagrams of utility installations and listing the materials to be installed or removed by engineers. Part of a typical job list might look like this:
INSTALLATION (in feet of conductor)
- (a) How many total feet of each kind of conductor must the installer have to complete the job?
- (b) How many feet of conductor are to be installed at each of the seven locations?
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
EP MATHEMATICS FOR THE TRADES
- 7. Let E(x, y) be a two-variable predicate meaning "x likes to eat y", where the domain of x is people and the domain of y is foods. Write logical expressions that represent the following English propositions: (a) Alice doesn't like to eat pizza. (b) Everybody likes to eat at least one food. (c) Every student likes to eat at least one food other than pizza. (d) Everyone other than Alice likes to eat at least two different foods. (e) There are two different people that like to eat the same food.arrow_forward21. Determine for which values of m the function (x) = x™ is a solution to the given equation. a. 3x2 d²y dx² b. x2 d²y +11x dy - 3y = 0 dx dy dx2 x dx 5y = 0arrow_forwardhelp me solve thisarrow_forward
- help me solve thisarrow_forwardHint: You may use the following derivative rules: ddxsin(x)=cos(x) ddxcos(x)=−sin(x) ddxln(x)=1x Find the equation of the tangent line to the curve y=4sinx at the point (π6,2).The equation of this tangent line isarrow_forwardQuestion Find the following limit. Select the correct answer below: 1 2 0 4 5x lim sin (2x)+tan 2 x→arrow_forward
- A quality characteristic of a product is normally distributed with mean μ and standard deviation σ = 1. Speci- fications on the characteristic are 6≤x≤8. A unit that falls within specifications on this quality characteristic results in a profit of Co. However, if x 8, the profit is -C2. Find the value ofμ that maximizes the expected profit.arrow_forwardA) The output voltage of a power supply is normally distributed with mean 5 V and standard deviation 0.02 V. If the lower and upper specifications for voltage are 4.95 V and 5.05 V, respectively, what is the probability that a power supply selected at random conform to the specifications on voltage? B) Continuation of A. Reconsider the power supply manufacturing process in A. Suppose We wanted to improve the process. Can shifting the mean reduce the number of nonconforming units produced? How much would the process variability need to be reduced in order to have all but one out of 1000 units conform to the specifications?arrow_forwardA mechatronic assembly is subjected to a final functional test. Suppose that defects occur at random in these assemblies, and that defects occur according to a Poisson distribution with parameter >= 0.02. (a) What is the probability that an assembly will have exactly one defect? (b) What is the probability that an assembly will have one or more defects? (c) Suppose that you improve the process so that the occurrence rate of defects is cut in half to λ = 0.01. What effect does this have on the probability that an assembly will have one or more defects?arrow_forward
- Show all steps. Correct answer is 1/2sec(theta) +Ccos(theta)arrow_forwardA random sample of 50 units is drawn from a production process every half hour. The fraction of non-conforming product manufactured is 0.02. What is the probability that p < 0.04 if the fraction non-conforming really is 0.02?arrow_forwardA textbook has 500 pages on which typographical errors could occur. Suppose that there are exactly 10 such errors randomly located on those pages. Find the probability that a random selection of 50 pages will contain no errors. Find the probability that 50 randomly selected pages will contain at least two errors.arrow_forward
- Intermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning