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Question-3 a. A firm employs 10 programmers, 8 systems analysts, 4 computer engineers, and 3 statisticians. A team is to be chosen to handle a new long term project. The team will consist of 3 programmers, 2 systems analysts, 2 computer engineers, and 1 statistician. In how many ways can the team be chosen? b. the effectiveness of irradiated polymers in the removal of benzene from water is being invested. Three polymers are to be studied. Each is to be tested at four different temperatures and three different radiation levels. How many different experimental conditions are under study. مول C

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 25PPS

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Question-3
a. A firm employs 10 programmers, 8 systems analysts, 4 computer engineers,
and 3 statisticians. A team is to be chosen to handle a new long term project.
The team will consist of 3 programmers, 2 systems analysts, 2 computer
engineers, and 1 statistician. In how many ways can the team be chosen?
b. the effectiveness of irradiated polymers in the removal of benzene from
water is being invested. Three polymers are to be studied. Each is to be tested at
four different temperatures and three different radiation levels. How many
different experimental conditions are under study.
مول
C

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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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