în 2010, 33 miners were trapped in a mine in Copiapo, Chile. The road to the bottom of the mine was at a 10% grade. If the road was 26,250 feet long, how deep wwas the mine?
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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.California Wine producer Chill Wines has in their line a mid-market chardonnay, of whichthey produce 200,000 bottles a year. They have been bottling their wines with natural corkclosures, which are known to have sealing issues resulting in the spoilage of wine, aproblem that is worse in their chardonnay than in the other wines they sell. This problem,which results in a 15% spoilage rate for their chardonnay, is both expensive and impactsthe company’s reputation. They have researched several other closure products on themarket and have decided to try using a new closure in a test run of 91 bottles theirchardonnay. After allowing the wine to stay in the bottles for the time it generally takes toget it from the winery to customers, they tested the run and found 16 spoiled bottles. As thecompany has a both an immediate financial and reputation risk, they want to be 90% surethat changing the closures will help limit wine spoilage. What do their results suggest? a)What is known? What…Economists theorize that the recent recession has affected men more than women because men are typically employed in industries that have been hit hardest by the recession. Women, on the other hand, are typically employed in services which are considered more recession resistant. A sample of 165 men and a sample of 140 women were drawn. In those samples, 20 men were unemployed, and 13 of the women were unemployed. Complete parts a and b below. Economists theorize that the recent recession has affected men more than women because men are typically employed in industries that have been hit hardest by the recession. Women, on the other hand, are typically employed in services which are considered more recession resistant. A sample of 180men and a sample of, 160 women were drawn. In those samples,19 men were unemployed, and 10 of the women were unemployed. Complete parts a and b below. a. What is the test statistic? What is/are the critical value(s)? b. Determine the p-value and…
- A school Psychologist is interested in the effect of violent television programs on a child's agression depending on if the show is a cartoon or not. Eighty children were recruited and were divided into equal groups. Half of the children watched a violent television program while the other half watched a non- violent program. Half of the children watched a cartoon while the other half watched a show that was not a cartoon. The children were then placed in a small group and the researcher measured the level of agressiveness of each child. A) z- test B) t - test C) test independent samples D) T - TEST RELATED SAMPLES E) ANOVA F) FACTORIAL ANOVA G) repeated measures ANOVA H) pearson correlation i) chi squareA fund-raising company is putting together a student kit of candy bars for a school to use in its annual support campaign. To maximize sales, the company will put more of the most popular candy bar sold in an average day in each kit. The company’s research shows that of the five most popular candies, local vending machines sell 100 of Candy A, 14 of Candy B, 50 of Candy C, 6 of Candy D, and 45 of Candy E on an average day. Which candy on average is the most popular candy? Which averaging method did you use?The River is a literary magazine published by the English Department at Tech. It has a 70-year history and enjoys an excellent reputation for providing a literary outlet for aspiring Appalachian writers in particular. However, its sales, mostly through independent bookstores and college libraries, have never been very large. Several years ago, the magazine’s advisory board decided to create a Web site and post the bi-monthly issues online for free access. Due to poor economic conditions and state budget cuts, Tech recently withdrew funding for the magazine, and in order to make up for this financial loss, the magazine’s staff has decided to try to sell advertising (especially to local and regional businesses) on the magazine’s Web site. In order to sell advertising, the magazine’s staff would like to be able to provide potential advertisers with a forecast of the number of “visits” the Web site might receive in future months. Following is the number of monthly visits the Web site has…