
Concept explainers
IN YOUR OWN WORDS The prologue provides a historical overview and asks the question, “Why Math?” This question seems appropriate at the beginning of a college mathematics course. Why do you think it is important to study mathematics?

To give:
The use of math and think whether the study of mathematics is important.
Explanation of Solution
Description:
The reason for “why math” is as follows.
1. Math helps to have a better problem solving skills.
2. Learning math is good for the brain.
3. Math helps to understand the world better.
The reason of the study of mathematics is important as below.
The learning of mathematics is organized the history or story of the development of mathematical ideas or it can be organized by topic.
Mathematics is used to count the things in daily life.
Example: During cooking, how much ingredients added to the recipes and how much money you have in bank account, how much syrup to take for fast recover.
Math can help to sale the things.
Mathematics is everywhere in our day to day life.
This is the reason for studying mathematics is important.
Want to see more full solutions like this?
Chapter P Solutions
Nature of Mathematics (MindTap Course List)
- Burger Dome sells hamburgers, cheeseburgers, french fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 30 customers per hour. Burger Dome also studied the order-filling process and found that a single employee can process an average of 44 customer orders per hour. Burger Dome is concerned that the methods currently used to serve customers are resulting in excessive waiting times and a possible loss of sales. Management wants to conduct a waiting line study to help determine the best approach to reduce waiting times and improve service. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an…arrow_forwardPEER REPLY 1: Choose a classmate's Main Post. 1. Indicate a range of values for the independent variable (x) that is reasonable based on the data provided. 2. Explain what the predicted range of dependent values should be based on the range of independent values.arrow_forwardNote: A waiting line model solver computer package is needed to answer these questions. The Kolkmeyer Manufacturing Company uses a group of six identical machines, each of which operates an average of 18 hours between breakdowns. With randomly occurring breakdowns, the Poisson probability distribution is used to describe the machine breakdown arrival process. One person from the maintenance department provides the single-server repair service for the six machines. Management is now considering adding two machines to its manufacturing operation. This addition will bring the number of machines to eight. The president of Kolkmeyer asked for a study of the need to add a second employee to the repair operation. The service rate for each individual assigned to the repair operation is 0.50 machines per hour. (a) Compute the operating characteristics if the company retains the single-employee repair operation. (Round your answers to four decimal places. Report time in hours.) La = L = Wa = W =…arrow_forward
- 10 20 30 y vernier protractor scales. 60 30 0 30 60 40 30 20 10 0 30 60 0 10. Write the complement of each of the following angles. a. 67° b. 17°41' 11. Write the supplement of each of the following angles. a.41° b.99°32' 30 60 C. 20 10 20 90 60 30 69 30 30 40 50 c. 54°47' 53" 0 30 60 c. 103°03'27" 12. Given: AB CD and EF GH. Determine the value of each angle, 21 through /10, to the nearer minute. A- 25 21 = 22 = 23 = 24 = 25 = 46= 27 = C 28 = 29 = 210 = E 26 22 210 81°00' 29 4 142°00' G H 94°40' B Darrow_forward5. For the function y-x³-3x²-1, use derivatives to: (a) determine the intervals of increase and decrease. (b) determine the local (relative) maxima and minima. (e) determine the intervals of concavity. (d) determine the points of inflection. (e) sketch the graph with the above information indicated on the graph.arrow_forwardA local company has a 6 person management team and 20 employees. The company needs to select 3 people from the management team and 7 employees to attend a regional meeting. How many different possibilities are there for the group that can be sent to the regional meeting?arrow_forward
- Can you solve this 2 question numerical methodarrow_forwardI have 15 outfits to select from to pack for my business trip. I would like to select three of them to pack in my suitcase. How many packing possibilities are there?arrow_forwardThere are 15 candidates running for any of 5 distinct positions on the local school board. In how many different ways could the 5 positions be filled?arrow_forward
- Use the Euclidean algorithm to find two sets of integers (a, b, c) such that 55a65b+143c: Solution = 1. By the Euclidean algorithm, we have: 143 = 2.65 + 13 and 65 = 5.13, so 13 = 143 – 2.65. - Also, 55 = 4.13+3, 13 = 4.3 + 1 and 3 = 3.1, so 1 = 13 — 4.3 = 13 — 4(55 – 4.13) = 17.13 – 4.55. Combining these, we have: 1 = 17(143 – 2.65) - 4.55 = −4.55 - 34.65 + 17.143, so we can take a = − −4, b = −34, c = 17. By carrying out the division algorithm in other ways, we obtain different solutions, such as 19.55 23.65 +7.143, so a = = 9, b -23, c = 7. = = how ? come [Note that 13.55 + 11.65 - 10.143 0, so we can obtain new solutions by adding multiples of this equation, or similar equations.]arrow_forwardCelina is picking a new frame for a custom piece of artwork. She has to select a frame size, material, and color. There are four different frame sizes, three different frame materials, and six different frame colors. She must chose one option only from each category. How many different possible frames could Celina pick from?arrow_forwardIn a company with 80 employees, 60 earn $10.00 per hour and 20 earn $13.00 per hour. Is this average hourly wage considered representative?arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALIntermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
- Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning





