Concept explainers
(a)
The percent of the correct responses prior to any trials for each group if in a learning theory project, the rate of change in the percent P of correct responses after n trials can be modeled by,
The graph showing the particular solutions for the two different groups is as follows:
(b)
The limit of P for each group as n approaches infinity if in a learning theory project, the rate of change in the percent P of correct responses after n trials can be modeled by,
The graph showing the particular solutions for the two different groups is as follows:
(c)
The number of trials for
The graph showing the particular solutions for the two different groups is as follows:
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Chapter 11 Solutions
EBK CALCULUS: AN APPLIED APPROACH
- DVD Player sales The table shows the number of DVD play-ers sold in a small electronics store in the years 2003-2013. What was the average rate of change of sales between 2003 and 2013? Whatwas the average rate of change of sales between 2003 and 2004? What was the average rate of change of sales between 2004 and 2005? Between which two successive years did DVD player sales increase most quickly?arrow_forwardPsychologists have developed mathematical models to predict memory performance as a function of the number of trials n of a certain task. Consider the learning curve P=0.5+0.9(n1)1+0.9(n1),n0 where p is the fraction of correct responses after n trials. (a) Complete the table for this model. What does it suggest? (b) According to the model, what is the limiting percent of correct responses as n increases?arrow_forwardDuring what time period would the broker advise buying if he thought 500 to 800 was an appropriate buy range? Example 2.10 Beginning in 2001, the price of gold was modeled approximately by G(t)=2551.18t dollars per ounce, where t is the time in years since the beginning of 2001.arrow_forward
- Minimum Wage Use the graph below, which shows the minimum wages in the United States (in dollars) from 1950 through 2015. (a) Which decade shows the greatest increase in the minimum wage? (b) Approximate the percent increases in the minimum wage from 1985 to 2000 and from 2000 to 2015. (c) Use the percent increase from 2000 to 2015 to predict the minimum wage in 2030. (d) Do you believe that your prediction in part (c) is reasonable? Explain.arrow_forwardUse the data given in the three scenarios below to produce scatter plots, determine the type of model demonstrated in each example and then answer the questions based on the graph you created.arrow_forwardAndrea is a street artist in New Orleans. She draws caricatures (cartoon-like portraits) of tourists. People have their portrait drawn and then come back later to pick it up from her. The graph below shows the relationship between the number of portraits she draws and the amount of time in hours she needs to draw the portraits. At what rate is Andrea drawing portraits in portraits per hour?arrow_forward
- The circle graph shows a breakdown of spending for the average household using 365 days worked as a basis of comparison. What percentage of work time does the average household spend paying for saving? C Paying for saving accounts for % of work time. (Round to one decimal place as needed.) State/Local Taxes: 37 days Housing and Household Operation: 65 days All Other: 41 days Federal Taxes: 73 days Medical Care: 53 days Saving: 3 days Food: 30 days Recreation: 21 days Transportation 30 days Clothing and Accessories: 12 daysarrow_forwardis there any way you can walk me through solving this problem and making the graph? Thank you.arrow_forward1 The manufacturer's price for a Jinko car is $x Ben was given a 7% discount on the manufacturer's price when he bought a Jinko. Ben paid $23 622 when he bought his Jinko. (a) Calculate the value of x. (2) After a year Ben sold his Jinko for $19880 (b) Calculate the percentage loss, to 3 significant figures, on the price Ben paid for his Jinko. (2) During the year that Ben owned the Jinko, he travelled d km in the car. The average fuel consumption of the car was 10km per litre. The average cost of the fuel he used was $1.40 per litre. Other costs for the car in the year came to $938 The cost per km, including the loss in value, of his Jinko to Ben during the year that he owned the car was $0.40 (c) Calculate the value of d. (4)arrow_forward
- Between 1980 and 2012, the number of adults in a certain country who were overweight more than tripled from 18% to 56%. Use this information to answer parts a and b. (a) Construct a graphic that is not misleading to depict this situation. Choose the correct graph below. OA. 1980 2012 1980 2012 1980 2012 1980 2012 (b) Construct a misleading graphic that makes it appear that the percent of overweight adults has more than quadrupled between 1980 and 2012. Choose the correct graph below. O A. Oc. OD. 50 40 304 20 10 1980 2012 1980 2012 1980 2012 1980 2012 ti n deuun Percentage ateun adesundarrow_forwardHey can you help me with this by drawing a graph. The thing being tested is if lizards eat more during hot or cool temperatures. The data is shown in the picture below. Thank youarrow_forwardThe final question in the example is If the percentage of 16- to 19-year-olds not in school and not graduates reaches 22.5% in a similar city, what is the predicted rate of violent crimes per 1000 residents? (Round your answer to two decimal places.) violent crimes per 1000 residentsarrow_forward
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