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- Name the four parts of a mathematical system. HINT: See Section 1.3Cholesterol 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.A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The commuter likes to vary the trip as much as posible, so she alwaysleaves and returns by different roads. In how many different ways can she make the round-trip?
- In laparoscopic surgery, a video camera and several thin instruments are inserted into the patient's abdominal cavity. The surgeon uses the image from the video camera positioned inside the patient's body to perform the procedure by manipulating the instruments that have been insert ed. The Top Gun Laparoscopic Skills and Suturing Program was developed to help surgeons develop the skill set necessary for laparoscopic surgery. Because of the similarity in many of the skills involved in video games and laparoscopic surgery, it was hypothesized that surgeons with greater prior video game experience might acquire the skills required in laparoscopic surgery more easily. Thirty-three surgeons partici pated in the study and were classified into the three categories, never used, under three hours, and more than three hours depending on the daily number of hours they played video games at the height of their video game use. They also performed Top Gun drills and received a score based on the…From 1840 to 1850, more than 12,000 pioneers migrated west in wagon trains. It was typically about a 2,000-mile journey, and pioneers averaged about 10 miles per day. One pioneer family, the Smiths, is planning to join a wagon train traveling west to Oregon. The destination is Fort Vancouver, which is near present-day Portland. The family plans to join a wagon train in St. Louis. However, the trains follow various trails west that are mostly determined by the location of forts and trading posts along the way. The Smith family wants to choose a wagon train that will get them to Oregon in the shortest amount of time. They have checked around with the different wagon train leaders plus immigrants, soldiers, fur traders, and scouts who have previously made the trip west, and from the information they have gathered, they have developed the following network, with estimated times (in days) along each branch: a. Determine the shortest route for the Smiths from St. Louis to Ft. Vancouver. b.…With a terrain and make of concrete, experience from national highways suggests that there are, on the average, 2 potholes per mile after a certain amount of usage. We wish to know how likely it is to find no more than one pothole in a section of 5 miles of a highway. What is the average number of potholes in a section of 5 miles of a certain highway?
- I need help answering this discussion post. The topic is Identifying study design and making contingency tables.Chapter 2, Section 1, Exercise 022bcd Can Dogs Smell Cancer?Scientists are working to train dogs to smell cancer, including early stage cancer that might not be detected with other means. In previous studies, dogs have been able to distinguish the smell of bladder cancer, lung cancer, and breast cancer. Now, it appears that a dog in Japan has been trained to smell bowel cancer.1 Researchers collected breath and stool samples from patients with bowel cancer as well as from healthy people. The dog was given five samples in each test, one from a patient with cancer and four from healthy volunteers. The dog correctly selected the cancer sample in 33 out of 36 breath tests and in 37 out of 38 stool tests.1‘‘Dog Detects Bowel Cancer,” CNN Health Online, January 31, 2011. (a) Make a two-way table displaying the results of the study. Include the totals. Breath test Stool test Total Selects cancer Does not…Consider a school that similar to Jacob university. Jacob university has 65% graduation rate and a student-faculty ration of 19:1, 37% of the classes have fewer than 20 students, 23% of the classes have more than 50 students, and have a freshman retention rate of 80%. Should Jacob university giving rate be greater or less than 8%? I need help sugesting giving rates and I am confused on what the corrent one is School SFR LT20 GT50 GRAD FRR GIVE Arizona State 24 42% 16% 59% 81% 8% Arkansas State —Jonesboro 19 49% 4% 37% 69% 11% Auburn 18 24% 17% 66% 87% 31% Air Force Academy 8 74% 0.10% 81% 88% 11% Military Academy 8 95% 0% 86% 92% 28% Akron 20 39% 6% 35% 69% 15% Arizona 20 35% 17% 60% 79% 5% Arkansas 18 28% 18% 58% 83% 23% Ball State 18 34% 12% 57% 78% 11% Baylor 14 49% 9% 71% 85% 14% Boise State 21 33% 11% 27% 67% 8% Boston College 14 47% 6% 91% 96% 27% Bowling Green State 19 33% 7% 61% 75% 8% Brigham Young —Provo 21…
- An archery target consists of a gold circle with radius of 5 inches surrounded by a red ring whose diameter is 20 inches. Next, there are three progressively larger rings – blue, black, and white. The diameter of each ring is 10 inches larger than the diameter of the previous ring. John is a beginner so his aim is poor and, if his arrow hits the target, its location on the target is completely at random. John shoots and then yells, “I hit it!” Without using your calculator, find the following probabilities. Write the answers as a percentage. a) The probability his arrow landed in the gold circle is ______. b) The probability his arrow landed in the white area is ______. c) The probability his arrow landed in the red or the blue area is ______.Two employees (Molly and Jim) must conduct a data analysis project on the success of a firm’s marketing efforts and then write a report of their findings for consideration by the firm’s board. If the first employee, Molly, worked completely alone, she could finish the data analysis component of the project with 30 hours of work and could write the report with an additional 10 hours of work. If Jim worked alone, he would take 48 hours of work to conduct the data analysis and then 12 hours to write the report. Assume that both employees need to contribute to the project, that there would be no benefits to having two people work on the same part of the project (data analysis and writing), and that working on the two parts are independent (i.e. there is no benefit to working on both parts). Which employee has the comparative advantage in conducting the data analysis? ExplainIn laparoscopic surgery, a video camera and several thin instruments are inserted into the patient's abdominal cavity. The surgeon uses the image from the video camera positioned inside the patient's body to perform the procedure by manipulating the instruments that have been inserted. The Top Gun Laparoscopic Skills and Suturing Program was developed to help surgeons develop the skill set necessary for laparoscopic surgery. Because of the similarity in many of the skills involved in video games and laparoscopic surgery, it was hypothesized that surgeons with greater prior video game experience might acquire the skills required in laparoscopic surgery more easily. Thirty‑three surgeons participated in the study and were classified into three categories, never used, under three hours, and three or more hours—depending on the daily number of hours they played video games at the height of their video game use. They also performed Top Gun drills and received a score based on the time to…