The red blood cell counts (in 105 cells per microliter) of a healthy adult measured on 6 days are as follows. 52, 51, 50, 53, 54, 52 Send data to calculator Find the standard deviation of this sample of counts. Round your answer to two decimal places. (If necessary, consult a list of formulas.)
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- Although Pythagoras preceded William Shakespeare by 2,000 years, the philosophy of the Pythagoreans is mentioned in Shakespears The Merchant of Venice. Here is a quote from that play: Thou almost makst me waver in my faith, To hold opinion will Pythagoras, That souls of animals infuse themselves Into the trunks of men. Research the Pythagoreans. What were the main beliefs held by their society? What part of the philosophy of the Pythagoreans was Shakespeare referring to specifically with this quote? What present-day religions share a similar belief? Write a paragraph or two about your findings.A cell phone company offers 6 different voice packages and 8 different data packages. Of those, 3 packages include both voice and data. How many ways are there to choose either voice or data, but not both?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.
- Kentville, a community of 10,000 people, resides next to a krypton mine, and there is a concern that the emission from the krypton smelter have resulted in adverse effects. Specifically, Kryptonosis seems to have killed 12 of Kentville’s inhabitants last year. A neighboring community, Lanesburg, has 25,000 inhabitants and is far enough from the smelter to not be affected by the emission. In Lanesburg, only three people last year died of Kryptonosis. Given that the number of deaths in Kentville and their causes last year were: Heart attack=7 Accidents=4 Kryptonosis=12 Other=6 What is the risk of dying of Kryptonosis in Kentville relative to non-contaminated locality?What is the risk of dying of Kryptonosis in Kentville relative to deaths due to other causes? How many times the chance of dying of Kryptonosis compared to dying of accidents ? How many times the chance of dying of Kryptonosis compared to Other causes?In baseball, League A allows a designated hitter (DH) to bat for the pitcher, who is typically a weak hitter. In League B, the pitcher must bat. The common belief is that this results in League A teams scoring more runs. In interleague play, when League A teams visit League B teams, the League A pitcher must bat. So, if the DH does result in more runs, it would be expected that league A teams will score more runs in League A park than when visiting League B parks. To test this claim, a random sample of runs scored by league A teams with and without their DH is given in the accompanying table. Complete parts c) through d) below.Suppose the audience for the "Ellen Degeneres Show" was mainly LGBT people. Would this imply that these LGBT people are acting collectively?
- Suppose 55 percent of the customers at Pizza Palooza order a square pizza, 78 percent order a soft drink, and 43 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza? Yes NoDietcolawasonsalelastweek;itcost$10forevery4packsofdietcola. a.Howmuchdo2packsofdietcolacost? b.Howmuchdoes1packofdietcolacost? ExploratoryChallenge a.TeaganwenttoGamerRealmtobuynewvideogames.GamerRealmwashavingasale:$65for4video games.Hebought3gamesforhimselfandonegameforhisfriend,Diego,butTeagandoesnotknowhow muchDiegooweshimfortheonegame.Whatistheunitpriceofthevideogames?Whatistherateunit? ©2015GreatMinds.eureka-math.org G6-M1-SE-1.3.0-06.2015 10 = 10 4 = 5 5 x 2 = 10 10 = 1 4 2 2 x 10 = 20 20 / 4 = $5 4 1 x 10 = 10 10 / 4 = $2.50 10 4 = $2.5 $2.5 x 1 = $2.5 5 $2.5 $65 / 4 = $16.25 65 4 = 1 $16.25 6•1 Lesson16 NYSCOMMONCOREMATHEMATICSCURRICULUM Lesson16: FromRatiostoRates S.70…IN excel if possibleGreat Grasslands Grains, Inc. (GGG) manufactures and sells a wide variety of breakfast cereals. GGG’sproduct development lab recently created a new cereal that consists of rice flakes and banana-flavoredmarshmallows. The company’s marketing research department has tested the new cereal extensivelyand has found that consumers are enthusiastic about the cereal when 16-ounce boxes contain at least1.6 ounces and no more than 2.4 ounces of the banana-flavored marshmallows.As GGG prepares to begin producing and selling 16-ounce boxes of the new cereal, which it has namedGo Bananas management is concerned about the amount of banana-flavored marshmallows. It wants tobe careful not to include less than 1.6 ounces or more than 2.4 ounces of banana-flavoredmarshmallows in each 16-ounce box of Go Bananas. Tina Finkel, VP of Production for GGG, hassuggested that the company measure the weight of banana-flavored marshmallows in a random sampleof 25 boxes of Go Bananas on a weekly…
- SvheherhhrjrjrjtjtktktktktktkykyProfessor Walt is up for tenure, and wishes to submit a portfolio of written student evaluations as evidence of his good teaching. He begins by grouping all the evaluations into four categories: good reviews, bad reviews (a typical one being "GET RID OF WALT! THE MAN CAN'T TEACH!"), mediocre reviews (such as "I suppose he's OK, given the general quality of teaching at this college"), and reviews left blank. When he tallies up the piles, Walt gets a little worried: There are 280 more bad reviews than good ones and only half as many blank reviews as bad ones. The good reviews and blank reviews together total 173. On an impulse, he decides to even up the piles a little by removing 276 of the bad reviews, and this leaves him with a total of 415 reviews of all types. How many of each category of reviews were there originally? ____ good reviews ____bad reviews ____mediocre reviews ____blank reviewsThe table below shows the alcohol consumption per capita for seventeen high-income countries in 2000 according to https://ourworldindata.org. Country Liters of Alcohol Consumption per Capita in 1980 Australia 9.7Austria 11.1Belgium 11.5Canada 7.6Denmark 9.8Finland 5.1France 13.3Germany 12.7Italy 10.8Japan 6.5Netherlands 8.6New Zealand 9.1Norway 5.2Sweden 5.9Switzerland 11.4United Kingdom 8United States 7.7 1) Calculate the mean, median, mode, and standard deviation of the liters of alcohol consumption per capita for these 17 countries. Use your TI-84 calculator or Excel as necessary. If you calculate them by hand, include your work (neatly written on a separate sheet of paper!!). If you use Excel, include the Excel worksheet. If you use your TI-84, show what you’ve entered and the results you get. (You could take photos of your calculator and include those if you’d rather.)Mean = _______________________ (Round to 1 decimal place.)Median = ______________________Mode(s) =…