Concept explainers
(a)
To graph: The
(b)
The linear function that models the life expectancy
(c)
To calculate: The life expectancy of a women born in
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College Algebra
- Use this data for the exercises that follow: In 2013, there were roughly 317 million citizens in the United States, and about 40 million were elderly (aged 65 and over).[34] 60. It is predicted that by 2030, one in five U.S. citizens will be elderly. How much greater will the chances of meeting an elderly person be at that time? What policy changes do you foresee if these statistics hold true?arrow_forwardUse the table to express the 2006 fatality rate in deaths per 100 million vehicle-miles traveled. Year Population (millions) Traffic fatalities Licensed drivers(millions) Vehicle miles(trillions) 1984 247 47,711 162 1.8 1991 288 42,093 183 2.6 2006 298 47,481 195 3.3 The 2006 fatality rate is____deaths per 100 million vehicle-miles.arrow_forward(C) If the number of licensed drivers in state J in 2014 was about 1,037,000, use the model to estimate the population of state J in 2014. The estimated population of state J in 2014 is screenshot attached belowarrow_forward
- The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information. Customer Amount of Tip Amount of Bill Number of Diners Customer Amount of Tip Amount of Bill Number of Diners 1 $ 6.05 $ 73.22 1 16 $ 3.30 $ 23.59 2 2 4.50 28.23 4 17 3.50 22.30 2 3 1.00 10.65 1 18 3.25 32.00 2 4 2.40 19.82 3 19 5.40 50.02 4 5 5.00 28.62 3 20 2.25 17.60 3 6 4.25 24.83 2 21 1.40 41.80 5 7 .50 6.25 1 22 3.00 20.27 2…arrow_forwardThe Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information. Customer Amount of Tip Amount of Bill Number of Diners Customer Amount of Tip Amount of Bill Number of Diners 1 $ 7.00 $ 48.97 5 16 $ 3.30 $ 23.59 2 2 4.50 28.23 4 17 3.50 22.30 2 3 1.00 10.65 1 18 3.25 32.00 2 4 2.40 19.82 3 19 5.40 50.02 4 5 5.00 28.62 3 20 2.25 17.60 3 6 4.25 24.83 2 21 5.50 44.47 4 7 0.50 6.24 1 22 3.00 20.27 2…arrow_forwardWhat is the relationship between the number of minutes per day a woman spends talking on the phone and the woman's weight? The time on the phone and weight for 7 women are shown in the table below. Time 87 48 37 67 42 39 79 Pounds 194 152 154 171 149 128 198 r2r2 = (Round to two decimal places) Interpret r2r2 : Given any group of women who all weight the same amount, 86% of all of these women will weigh the predicted amount. 86% of all women will have the average weight. There is a 86% chance that the regression line will be a good predictor for women's weight based on their time spent on the phone. There is a large variation in women's weight, but if you only look at women with a fixed weight, this variation on average is reduced by 86%. The equation of the linear regression line is: ˆyy^ = + xx (Please show your answers to two decimal places) Use the model to predict the weight of a woman who spends 32 minutes on the phone.Weight = (Please round your…arrow_forward
- Redo exercises 21 through 23 in section 8.2 of your textbook, about the three types of employment in a small town, using the following data:arrow_forwardMachine Technologies, an electric retail company in Durban, has recorded the number of flat –screen TVs sold each week and the number of advertisements placed weekly for a period of 5 weeks. Database of flat-screen TV sales and newspaper advertisements Advertisement 4 4 3 2 5 Sales 26 28 24 18 35 Required: Calculate the Spearmans Rhoarrow_forwardUse the table below and assume a population of 317 million. How much greater is the risk of death from Alzheimer's disease than the risk of death from diabetes? Leading causes of death in a certain country in a recent year Cause Deaths Cause Deaths Heart disease 596,600 Alzheimer's disease 84,700 Cancer 575,300 Diabetes 73,100 Chronic respiratory diseases 143,200 Pneumonia/Influenza 53,500 Stroke 128,700 Kidney disease 45,400 Accidents 122,300 Suicide 38,900 The risk of death from Alzheimer's disease is about how many times greater than risk of death from diabetesarrow_forward
- 2. The table lists the same airport Verizon cell phone data speeds listed in the Data Set “Airport Data Speeds”, but in table those data speeds are arranged in increasing order.arrow_forwardedo exercises 17 and 18 in section 8.1 of your textbook, about the small animal who lives in an area with woods and meadows, using the following data:If the animal is in the woods on one observation, then it is twice as likely to be in the woods as the meadows on the next observation. If the animal is in the meadows on one observation, then it is three times as likely to be in the meadows as the woods on the next observation.Assume that state 1 is being in the meadows and that state 2 is being in the woods.(1) Find the transition matrix for this Markov process. (2) If the animal is initially in the woods, what is the probability that it is in the woods on the next three observations? (3) If the animal is initially in the woods, what is the probability that it is in the meadow on the next three observations?arrow_forwardThe following table shows the average yearly tuition and required fees, in thousand ofdollars, charged by a certain private university in the school year beginning in the givenyear.Year Average tuition2005 $17.6.2007 $18.12009 $19.52011 $20.72013 $21.8What prediction does the formula modeling this data give for average yearly tuition andrequired fees for the university for the academic year beginning in 2019?a)$21,994b)$24,565c) $25,040d)$20, 280e) None of the above.arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell