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- Player First Round Final Round Michael Letzig 74 72 Scott Verplank 71 75 D.A. Points 69 71 Jerry Kelly 71 72 Soren Hansen 68 72 D.J. Trahan 66 72 Bubba Watson 72 69 Reteif Goosen 74 70 Jeff Klauk 71 70 Kenny Perry 69 70 Aron Price 73 66 Charles Howell 69 66 Jason Dufner 65 65 Mike Weir 69 65 Carl Pettersson 70 77 Bo Van Pelt 67 76 Ernie Els 71 76 Cameron Beckman 77 69 Nick Watney 69 74 Tommy Armour III 77 73Adams County, Nebraska 33,024 31,126 31,181 31,299 31,367 31,396 Antelope County, Nebraska 6,729 6,742 6,697 6,655 6,600 6,531 Arthur County, Nebraska 364 426 448 490 507 476 Banner County, Nebraska 824 720 703 778 816 788 Blaine County, Nebraska 471 539 585 584 586 594 Boone County, Nebraska 5,531 5,553 5,512 5,473 5,441 5,404 Box Butte County, Nebraska 11,031 11,372 11,383 11,345 11,312 11,308 Boyd County, Nebraska 2,120 2,107 2,095 2,025 2,093 2,067 Brown County, Nebraska 3,178 3,192 3,153 3,183 3,167 3,090 Buffalo County, Nebraska 44,877 45,437 45,842 46,330 46,885 47,388 Burt County, Nebraska 7,047 6,964 6,901 6,829 6,748 6,690 Butler County, Nebraska 8,416 8,382 8,360 8,345 8,334 8,312 Cass County, Nebraska 25,495 25,246 25,230 25,214 25,222 25,315 Cedar County, Nebraska 8,582 8,906 8,839 8,807 8,790 8,736 Chase County, Nebraska 3,702 3,927 3,937 3,964 3,984 3,990 Cherry County, Nebraska 5,682 5,783 5,750 5,722 5,735 5,749 Cheyenne County, Nebraska…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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