The milligrams of aspirin in a person's body is given by the equation a = 500 where t is the number of hours since the patient took the medicine. (a) a. How much aspirin will be in the patient's body after two hours? 2/3t will be left in the patient body (b) b. In the equation, what does the 500 tell us about the situation? 500 miligrams of medicine
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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.The data set hemorrhage.sav contains a sample of 100 low birth weight infants born in Boston, Massachusetts. Germinal matrix hemorrhage (gmh) is a dichotomos variable that coded as 1 if the baby had a hemorrhage and 0 if the baby did not have a hemorrhage. You wish to know if head circumference, systolic blood pressure (sbp), and gender predicts hemorrhage. (See the attached Image) 1. What are the null and alternative hypotheses for this analysis? (hint: there should be 4 sets) 2. Is the model as a whole significant? How do you know?Sergei Ivanovich is one of the diligent students of a high school in the USA. He is also a basketball fan. One day her gym teacher assigned her to report the average points earned by women's basketball players in each game in the form of a written report. Then Sergei took 10 player names and their points in one game. He took data from the WNBA AIl-Times Leaders website, based on this data in this regular season Nykesha Sales got 14.2 points per game, Sophia Young-malcolm got 14.3; Kayla McBride got 14.5; DeWanna Bonner got 14.8; Napheesa Collier got 14.9; Sheryl Swoopes got 15.0; Tina Thompson gets 15.1; Jewell Loyd gets 15.2 points; Kelsey Mitchell gets 15.2 points; and Seimone Augustus got 15.4 points. If it is claimed that the population mean is 14 points in each game, the alternative is greater than the null hypothesis. Perform a unidirectional test of the results of the sample taken by Sergei lvanovich with a significance level of 0.01.
- i need help The Always Run Company advertises that its flashlight batteries last longer than batteries made by itscompetitors. We randomly select 5 pairs of batteries from the latest production run of Always Run batteriesand from three of its competitors. When tested in a standard flashlight, the data show how many minuteseach battery pair lasted.Always Run Competitor A Competitor B Competitor C98 94 90 9291 90 86 8797 88 87 9095 91 91 9294 92 91 84 a) What are the null and (nondirectional) alternative hypotheses?b) Calculate SSw and SSbet.c) What are dfbet and dfw?d) Calculate and .e) Conduct the F test with a .05 level of significancIs fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Nation in Nevada. President, movie stars, and people who just want to catch fish go to Pyramid Lake for really large cutthroat trout. Let row B represent hours per fish caught fishing from the shore and let row A represent hours per fish caught using a boat. The following data re paired by month from October through April. Oct. Nov. Dec. Jan. Feb. Mar. Apr. B: Shore 1.6 1.8 2.0 3.2 3.9 3.6 3.3 A: Boat 1.5 1.4 1.6 2.2 3.3 3.0 3.8 Use a 1% level of significance to test if there is a difference in the population mean hours per fish caught using a boat compared with fishing from the shore.The price per share of stock for a sample of 25 companies was recorded at the beginning of the first financial quarter and then again at the end of the first financial quarter. How stocks perform during the first financial quarter is an indicator of what is ahead for the stock market and the economy.Company End of 1st quarter Beginning of 1st quarterBank of New York Mellon 54.19 53.82Kraft Foods 55.70 77.02E.I. du Pont de Nemours and Company 102.57 109.00Consolidated Edison 79.95 83.58Johnson & Johnson 126.01 139.23Union Pacific 132.73…
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- A psychologist claims that the number of repeat offenders will tend to change if first time offenders complete a particular rehabilitation course. You randomly select 20 prisons and record the number of repeat offenders during a two year period. Then, after first time offenders complete the course, you record the number of repeat offenders at each prison for another two year period. The results are shown in the following table. Prison 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20Before 21 34 9 45 30 54 37 36 33 40 11 25 13 8 14 21 18 33 40 10After 19 22 16 31 30 30 22 18 17 21 19 25 13 14 23 21 12 32 25 10Conduct a sign test at 0.05 significance level. Test if the number of offenders before rehabilitation is significantly different to the number of repeat offendersThe success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airlines compete is on-time arrival. The file LateFlights contains a sample of data from delayed flights showing the number of minutes each delayed flight was late for two different airlines, Delta and Southwest. Click on the datafile logo to reference the data. Delta Southwest Delta Southwest Delta Southwest Delta Southwest Delta 116 42 6 77 146 113 148 25 126 68 114 7 91 112 67 49 92 31 149 128 78 111 12 134 139 139 11 124 91 18 34 51 17 5 106 65 62 126 26 116 17 109 141 70 12 b. What is the sample mean number of minutes late for delayed flights for each of these two airlines? Sample mean for Delta = (rounded to 2 decimals) Sample mean for Southwest =…Bicycling, the world's leading cycling magazine, reviews hundreds of bicycles throughout the years. Their Road race category contains reviews of bikes used by riders primarily interested in racing. The following data show the weight and price for 10 racing bikes reviewed by the magazine. Brand Weight Price ($) Felt F5 17.8 2100 Pinarello Paris 16.1 6250 Orbea Orca 14.9 8370 Eddy EMX-7 15.9 6200 BH Ultegra 17.2 4000 Bh 386 13.1 8600 Cervelo S5 16.2 6000 Giant TCR 17.1 2580 Wilier Gran 17.6 3400 Specialized S-work 14.1 8000 a) Use the data to develop an estimated regression equation that could be used to estiamte the price for a bike given the weight. b) Compare r^2. Did the estimate regression equation provide a good fit? c) Predict the price for a bike that weighs 15 pounds? d) Use the F test to determin whether the weight for a bike and the price are related at the 0.05 level of signifcance. Please hurry