Answered: On the basis of this double bar chart,… | bartleby

College Algebra

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 11P

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On the basis of this double bar chart, can we conclude causation? (Can we conclude
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that an increase in age causes more teenagers to work)?
Students Who Worked Ages 14-18
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20
OWorked
Courses
Did Not
10
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14
15
16 17
18
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O Yes
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8:04 PM
P Type here to search
68
11/17/2020
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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.
Nutrition A researcher performs an experiment to test a hypothesis is that involves the nutrients niacin and retinol. She feeds one group of laboratory rats daily of diet of precisely 32units of niacin and 22,000units of retinol. She uses two types of commercial foods. Food A contains 0.12unit of niacin and 100units of retinol per gram. Food B contains 0.20unit of niacin and 50units units of retinol per gram. How many grams of each does she feed this group of rats each day?
Lean Body Weight in Females This is a continuation of Exercise 24. The text cited in Exercise 24 gives a more complex method of calculating lean body weight for young adult females: L=19.81+0.73W+21.2R-0.88A-1.39H+2.43F Here L is the lean body weight in pounds, W is the weight in pounds, R is wrist diameter, A is the abdominal circumference in inches, H is hip circumference if inches, and F is forearm circumference in inches. According to this formula, what is the approximate lean body weight of a young adult female who weighs 132 pounds and has wrist diameter of 2 inches, abdominal circumference of 27 inches, hip circumference of 37 inches and forearm circumference of 7 inches? What is the weight of her body fat? What is her body fat percent? Lean Body Weight in Males A persons lean body weight L is the amount that he or she would weigh if all body fat were marginally to disappear. One text gives the equation that practitioners can use most feasibly in the field to predict lean body weight in young males. The equation is L=98.42+1.08W-4.14A Here L is the lean body weight in pounds, W is the weight in pounds and A is the abdominal circumference in inches. Find the approximate lean body weight of a young adult male who weighs 188 pounds and has an abdominal circumference of 35 inches. What is the weight of his body fat? What is his body fat percent?

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