52. For the weighted graph shown in Fig. 6-47, find the cheapest- link tour. Write the tour using B as the starting vertex. A 3.2- B E -3.4 √√2 3.1 3.3 4.1. -3.8- -4.5- 36

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.

New assignment: "PP #4: 1. Sol X Resources West Middle School bigideaslearning magicsw.com/ebookreader/launchbook.htm?id=7685&userType=RUNPTV9VUOVS&=1663275898776 Bridge to Success Course 3 bracelet is $115. What is the cost of the materials? (Section 1.2) 12. PASTURE A 455-foot fence encloses a pasture. What is the length of each side of the pasture? (Section 1.2) MU x ft 3x ft 180 ft 13. POSTERS A machine prints 230 movie posters each hour. Write and solve an equation to find the number of hours it takes the machine to print 1265 posters. (Section 1.1) 1.5x ft Game Points

Question. The number of first-year students who were admitted and accepted for the 2022 fall semester at Pitt was 4927. Of those: 3431 were admitted to the Dietrich School of Arts and Sciences, 661 were admitted to the School of Engineering, 402 were admitted to the College of Business Administration, 253 were admitted to the School of Computing and Information, 180 were admitted to the School of Nursing. Part a ) Given the size of the group of first-year students (here, we can call this the population), can we assume independence if we choose a sample of two students? Possible answer choices: No because N < 10n Yes because N > 10n    Part b) If you were to choose two students at random and assume that the sampling is approximately independent, what is the probability that both students are in the College of Business Administration? (report to 3 decimal places as a proportion.)