Answered: b. What is the probability that Backen… | bartleby

College Algebra

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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New legislation passed in 2017 by the U.S. Congress changed tax laws that affect how many people file their taxes in
2018 and beyond. These tax law changes will likely lead many people to seek tax advice from their accountants (The
New York Times). Backen and Hayes LLC is an accounting firm in New York state. The accounting firm believes that it
may have to hire additional accountants to assist with the increased demand in tax advice for the upcoming tax
season. Backen and Hayes LLC has developed the following probability distribution for * = number of new clients
seeking tax advice.
Excel File: data05-19.xlsx
f(2)
20
0.05
25
0.20
30
0.25
35
0.15
40
0.15
45
0.10
50
0.10
a. Is this a valid probability distribution?
- Select your answer -
Explain.
f(x)
Select your answer -
Select your answer -
b. What is the probability that Backen and Hayes LLC will obtain 40 or more new clients (to 2 decimals)?
c. What is the probability that Backen and Hayes LLC will obtain fewer than 35 new clients (to 2 decimals)?
d. Compute the expected value, variance, and standard deviation of æ (to 2 decimals).
Expected value
Variance
Standard Deviation

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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.

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