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Concept explainers
(a)
To graph: The ordered pairs
(b)
Whether the number of songs,
The following data represent the memory,
(c)
The linear function that describes the relation between
The following data represent the memory,
(d)
The domain of the linear function that describes the relation between
The following data represent the memory,
(e)
To graph: The linear function
(f)
The interpretation of the slope in the linear function that describes the relation between
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Chapter 3 Solutions
Precalculus (10th Edition)
- Grade Point Average In many universities students are given grade points for each credit unit according to the following scale: A 4 points B 3 points C 2 points D 1 point F 0 point For example, a grade of A in a 3-unit course earns 43=12 grade points and a grade of B in a 5-unit course earns 35=15 grade points. A students grade point average GPA for these two courses is the total number of grade points earned divided by the number of units; in this case the GPA is (12+15)8=3.375. a Find a formula for the GPA of a student who earns a grade of A in a units of course work, B in b units, C in c units, D in d units and F in f units. b Find the GPA of a student who has earned a grade of A in two 3-unit courses, B in one 4-unit courses and C in three 3-unit courses.arrow_forwardThe owner of a radio station wants to determine how much airtime songs take up. The owner collects the song length in seconds of 10 popular songs. The data are reproduced in the table below. Calculate the mode(s) using a TI-83. TI-83 plus, or TI-84 graphing calculator. Length of Songs in Seconds 279 219 298 134 206 293 165 227 230 212arrow_forwardHelp me fast so that I will give Upvote.arrow_forward
- Alarger household produces more garbage, on average, than a smaller household. If we know the amount of metal M and plastic P of waste product produced each week, we can estimate the household size H from H=aM+bP+c. The table to the right contains representative data for three households. Complete parts (a) and (b). H (people) 6 REEDE The size of the household is approximately people. (Round to the nearest whole number as needed.) 7 M (pounds) 5.00 2.50 7.00 (a) Model this data using H=aM+bP+c, where a, b, and care constants. H=M+P+ (Simplify your answers. Type integers or decimals.) (b)Predict the size of a household that produces 5 pounds of metal waste and 4 pounds of plastic waste each week P (pounds) 1.70 0.45 1.30arrow_forward7 see picture to solvearrow_forwardThe U.S. Geological Survey monitors and reports on earthquakes, providing daily real-time, worldwide earthquake lists. Some of the information for four of the 105 earthquakes of magnitude 1.5 or greater that occurred on May 10, 2013, is shown in the following table. Magnitude is given on the Richter scale and NST stands for the number of stations that reported the activity on the same earthquake. Complete parts (a) through (e) below. Time Magnitude Depth (km) NST Region 00:03:16 1.7 75.9 29 Alaska 04:59:11 1.7 134.9 18 Alaska 08:27:04 2.8 64.0 21 Alaska 23:30:09 4.2 10.0 34 China a. Identify the type of data provided by the information in the first column of the table. Also identify the variable under consideration. Quantitative, Continuous, Qualitative, Quantitative, Discrete, region where the earthquake occurred depth of the earthquake in kilometers number of stations reporting the earthquake…arrow_forward
- use xx=82 and xxx=182 no excel usearrow_forwardPage of 11 ZOOM + 5. The table shows how the cost of a carne asada taco at my favorite taco stand has increased as they have become more popular since their opening in 2013. Use the data to answer the questions below. Year, x 2013, 0 2014, 1 2015, 2 2016, 3 2017, 4 2018, 5 2019,6 Cost ($) 0.50 0.55 0.65 0.75 0.90 1.00 1.10 (a) What is the regression line given by your TI-84 for this data? Round values to 3 decimal places. (b) Using the regression equation above, predict the cost of a carne asada taco at my favorite taco stand in 2020. Show the work.arrow_forwardResearchers initiated a long-term study of the population of American black bears. One aspect of the study was to develop a model that could be used to predict a bear's weight (since it is not practical to weigh bears in the field). One variable thought to be related to weight is the length of the bear. The accompanying data represent the lengths and weights of 12 American black bears. Complete parts (a) through (d) below. Click the icon to view the data table. Click the icon to view the critical values table. ..... (a) Which variable is the explanatory variable based on the goals of the research? O A. The number of bears B. The weight of the bear O C. The length of the bear (b) Draw a scatter diagram of the data. Choose the correct graph below. O A. O B. O C. D. A Weight (kg) 180- AWeight (kg) 180- ALength (cm) 180- A Weight (kg) 180- 40- 100 40- 100 Length (cm) 40- 100 40- 100 200 200 200 200 Length (cm) Weight (kg) Length (cm) (c) Determine the linear correlation coefficient between…arrow_forward
- please answer 8d, e, and f.arrow_forwardyou and your classmate have left to read reads at a rate of 0.75 page per minute. The models below give the number of p pages 3. You and a classmate are reading a short story that is 15 pages long. You read at a rate of 1 page per minute. Your classmate Date sort Response You and a classmate are reading a sho story that is 15 pages long. You read at rate of 1 page per minute. Your classmr after reading for m minutes. Classmate:p=-0.75m + 15 Graph both equations on the same coordinate plane. b. How many more minutes would it take your classmate to read the short story than you? Explain how you used the graph to determine this information Extended Responsearrow_forwardA survey looked at how long it takes a typical company to recoup an investment in research. The survey determined that 39% of the corporations took six months or less to recoup their investment. The data table below shows a sample of the time, in months, it might have taken 20 corporations to recoup their investment. Complete parts a and b. 9.0 8.0 4.0 4.0 7.0 8.0 7.0 7.0 9.5 5.5 7.5 12.0 8.5 5.5 10.5 10.0 7.5 4.5 7.0 7.5 a. Determine the number of corporations that recovered their investement in research in six months or less. There were 5 corporations that recovered their investment in research in six months or less. b. Calculate the probability of obtaining at most the number of corporations that you determined in part a if the percent of those recovering their investment is as indicated by the survey. The probability (Round to four decimal places as needed.)arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
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