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College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 17PS: Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There...

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Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.
wat is the intermdiate demond of the agricultural,manufacutring,and energy sector
A car rental agency in a major city has a total of 3300 cars that it rents from three locations: Metropolis Airport, downtown, and the smaller City Airport. Some weekly rental and return patterns are shown in the table (note that Airport means Metropolis Airport). Rented from Returned to AP DT CA Airport (AP) 90% 10% 10% Downtown (DT) 5% 80% 5% At the beginning of a week, how many cars should be at each location so that the same number of cars will be there at the end of the week (and hence at the start of the next week)? AP cars DT cars CA cars
Advil and Motrin IB produce the same headache relief medication with the active ingredient ibuprofen. Each pillshould contain 200 mg of ibuprofen. A health agency obtains a sample of ten tablets from both manufacturers and measureshow much ibuprofen each pill actually contains.Number of milligrams measuredAdvil 199.25 198.50 200.10 200.75 201.00 198.00 200.10 199.00 201.10 202.20Motrin IB 205.00 195.80 195.20 203.20 205.80 194.40 204.60 194.60 207.20 194.20(a) Verify on your calculator that each sample has a mean value of 200 mg.(b) What is the range of each sample?(c) However, based on the given sample values, which company would you prefer to buy from? Justify your answer with statisticalreasoning. (Hint: argue using standard deviation and explain why this is desirable in this situation)
The table below shows the alcohol consumption per capita for seventeen high-income countries in 2014according to https://ourworldindata.org. Country Liters of Alcohol Consumption per Capita in 2014Australia 7.3Austria 10.4Belgium 9.6Canada 6.7Denmark 8Finland 6.9France 9.2Germany 9.6Italy 6.1Japan 5.6Netherlands 7.4New Zealand 6.4Norway 6.3Sweden 6.1Switzerland 8.3United Kingdom 8United States 7 1) Calculate the mean, median, mode, and standard deviation of the liters of alcohol consumption per capita forthese 17 countries. Use your TI-84 calculator or Excel as necessary. If you calculate them by hand, includeyour work (neatly written on a separate sheet of paper!!). If you use Excel,…
Dietcolawasonsalelastweek;itcost$10forevery4packsofdietcola. a.Howmuchdo2packsofdietcolacost? b.Howmuchdoes1packofdietcolacost? ExploratoryChallenge a.TeaganwenttoGamerRealmtobuynewvideogames.GamerRealmwashavingasale:$65for4video games.Hebought3gamesforhimselfandonegameforhisfriend,Diego,butTeagandoesnotknowhow muchDiegooweshimfortheonegame.Whatistheunitpriceofthevideogames?Whatistherateunit? ©2015GreatMinds.eureka-math.org G6-M1-SE-1.3.0-06.2015 10 = 10 4 = 5 5 x 2 = 10 10 = 1 4 2 2 x 10 = 20 20 / 4 = $5 4 1 x 10 = 10 10 / 4 = $2.50 10 4 = $2.5 $2.5 x 1 = $2.5 5 $2.5 $65 / 4 = $16.25 65 4 = 1 $16.25 6•1 Lesson16 NYSCOMMONCOREMATHEMATICSCURRICULUM Lesson16: FromRatiostoRates S.70…
IN excel if possibleGreat Grasslands Grains, Inc. (GGG) manufactures and sells a wide variety of breakfast cereals. GGG’sproduct development lab recently created a new cereal that consists of rice flakes and banana-flavoredmarshmallows. The company’s marketing research department has tested the new cereal extensivelyand has found that consumers are enthusiastic about the cereal when 16-ounce boxes contain at least1.6 ounces and no more than 2.4 ounces of the banana-flavored marshmallows.As GGG prepares to begin producing and selling 16-ounce boxes of the new cereal, which it has namedGo Bananas management is concerned about the amount of banana-flavored marshmallows. It wants tobe careful not to include less than 1.6 ounces or more than 2.4 ounces of banana-flavoredmarshmallows in each 16-ounce box of Go Bananas. Tina Finkel, VP of Production for GGG, hassuggested that the company measure the weight of banana-flavored marshmallows in a random sampleof 25 boxes of Go Bananas on a weekly…
In baseball, League A allows a designated hitter (DH) to bat for the pitcher, who is typically a weak hitter. In League B, the pitcher must bat. The common belief is that this results in League A teams scoring more runs. In interleague play, when League A teams visit League B teams, the League A pitcher must bat. So, if the DH does result in more runs, it would be expected that league A teams will score more runs in League A park than when visiting League B parks. To test this claim, a random sample of runs scored by league A teams with and without their DH is given in the accompanying table. Complete parts c) through d) below.
Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computerized wheel alignment and balancing machine. Managers feel that maintenance expense is related to usage of the machine, and they have collected the following information on weekly usage of the machine (in hours) and annual maintenance expense (in hundreds of dollars) from 10 other companies that own the machine.Company Weekly Usage(hours) Annual maintenance Expense(hundreds of dollars)A 13 17.0B 10 22.0C 20 30.0D 28 37.0E 32 47.0F 17…
It is a common belief that SUVs are safer than cars. In a collision, does an SUV sustain less damage (cost of repair) than a car? SUV into Car SUV Damage ($) Car Damage ($) Honda CR-V into Honda Civic $1,721 $1,274 Toyota RAV4 into Toyota Corolla $1,434 $2,327 Hyundai Tuscon into Kia Forte $850 $3,223 Volkswagon Tiguan into Volkswagon Golf $2,329 $2,058 Jeep Patriot into Dodge Caliber $1,415 $3,095 Ford Escape into Ford Focus $1,470 $3,386 Nissan Rogue into Nissan Sentra $2,884 $4,560 Test the claim above at the α=0.1α=0.1 level of significance. Note: A normal probability plot of difference in car damages between SUVs and other cars indicates the population could be normal and a boxplot indicated no outliers. What is the significance level?α=_____________ What is the test statistic? Round to 3 decimal places. T or Z =_________________ What is the p -value? Round to 4 decimal places.p=___________
It is a common belief that SUVs are safer than cars. In a collision, does an SUV sustain less damage (cost of repair) than a car? SUV into Car SUV Damage ($) Car Damage ($) Honda CR-V into Honda Civic $1,721 $1,274 Toyota RAV4 into Toyota Corolla $1,434 $2,327 Hyundai Tuscon into Kia Forte $850 $3,223 Volkswagon Tiguan into Volkswagon Golf $2,329 $2,058 Jeep Patriot into Dodge Caliber $1,415 $3,095 Ford Escape into Ford Focus $1,470 $3,386 Nissan Rogue into Nissan Sentra $2,884 $4,560 Test the claim above at the α=0.1 level of significance. Note: A normal probability plot of difference in car damages between SUVs and other cars indicates the population could be normal and a boxplot indicated no outliers What is the pp -value? Round to 4 decimal places.p= ____________ Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and…
Given the contingency table shown here, find P(V). Cell Phone Service Provider County Sprint (S) AT&T (A) Verizon (V) Row Total Macomb (M) 17 25 8 50 Oakland (O) 19 38 13 70 Wayne (W) 24 37 19 80 Col Total 60 100 40 200 Multiple Choice 0.80 0.40 0.20 0.50