Interpret this correlation coefficient. What does this mean for the relationship between age and field goal percentage? Do players seem to make more shots or fewer shots as they get older? Was the claim that older players are more accurate correct? why or why not?
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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.Is it possible that P(AB)=P(A)? Explain.The average number of minutes Americans commute to work is 27.7 minutes (Sterling’s BestPlaces, April 13, 2012). The average commute time in minutes for 48 cities are as follows:Albuquerque 23.3 Jacksonville 26.2 Phoenix 28.3Atlanta 28.3 Kansas City 23.4 Pittsburgh 25.0Austin 24.6 Las vegas 28.4 Portland 26.4Baltimore 32.1 Little Rock 20.1 Providence 23.6Boston 31.7 Los Angeles 32.2 Richmond 23.4Charlotte 25.8 Louisville 21.4 Sacramento 25.8Chicago 38.1 Memphis 23.8 Salt Lake City 20.2Cincinnati 24.9 Miami 30.7 San Antonio 26.1Cleveland 26.8 Milwaukee 24.8 San Diego 24.8Columbus 23.4 Minneapolis 23.6 San Francisco 32.6Dallas 28.5 Nashville 25.3 San Jose 28.5Denver 28.1 New Orleans 31.7 Seattle 27.3Detroit 29.3 New York 43.8 St. Louis 26.8el Paso 24.4 Oklahoma City 22.0 Tucson 24.0Fresno 23.0 Orlando 27.1 Tulsa 20.1indianapolis 24.8 Philadelphia 34.2 Washington, D.C. 32.8a. What is the mean commute time for these 48 cities?b. Compute the median commute time
- The average number of minutes Americans commute to work is 27.7 minutes (Sterling’s BestPlaces, April 13, 2012). The average commute time in minutes for 48 cities are as follows:Albuquerque 23.3 Jacksonville 26.2 Phoenix 28.3Atlanta 28.3 Kansas City 23.4 Pittsburgh 25.0Austin 24.6 Las vegas 28.4 Portland 26.4Baltimore 32.1 Little Rock 20.1 Providence 23.6Boston 31.7 Los Angeles 32.2 Richmond 23.4Charlotte 25.8 Louisville 21.4 Sacramento 25.8Chicago 38.1 Memphis 23.8 Salt Lake City 20.2Cincinnati 24.9 Miami 30.7 San Antonio 26.1Cleveland 26.8 Milwaukee 24.8 San Diego 24.8Columbus 23.4 Minneapolis 23.6 San Francisco 32.6Dallas 28.5 Nashville 25.3 San Jose 28.5Denver 28.1 New Orleans 31.7 Seattle 27.3Detroit 29.3 New York 43.8 St. Louis 26.8el Paso 24.4 Oklahoma City 22.0 Tucson 24.0Fresno 23.0 Orlando 27.1 Tulsa 20.1indianapolis 24.8 Philadelphia 34.2 Washington, D.C. 32.8a. What is the mean commute time for these 48 cities?b. Compute the median commute time.c. Compute the mode.d.…The average number of minutes Americans commute to work is 27.7 minutes (Sterling’s BestPlaces, April 13, 2012). The average commute time in minutes for 48 cities are as follows:Albuquerque 23.3 Jacksonville 26.2 Phoenix 28.3Atlanta 28.3 Kansas City 23.4 Pittsburgh 25.0Austin 24.6 Las vegas 28.4 Portland 26.4Baltimore 32.1 Little Rock 20.1 Providence 23.6Boston 31.7 Los Angeles 32.2 Richmond 23.4Charlotte 25.8 Louisville 21.4 Sacramento 25.8Chicago 38.1 Memphis 23.8 Salt Lake City 20.2Cincinnati 24.9 Miami 30.7 San Antonio 26.1Cleveland 26.8 Milwaukee 24.8 San Diego 24.8Columbus 23.4 Minneapolis 23.6 San Francisco 32.6Dallas 28.5 Nashville 25.3 San Jose 28.5Denver 28.1 New Orleans 31.7 Seattle 27.3Detroit 29.3 New York 43.8 St. Louis 26.8el Paso 24.4 Oklahoma City 22.0 Tucson 24.0Fresno 23.0 Orlando 27.1 Tulsa 20.1indianapolis 24.8 Philadelphia 34.2 Washington, D.C. 32.8a. What is the mean commute time for these 48 cities?b. Compute the median commute time.c. Compute the mode.The average number of minutes Americans commute to work is 27.7 minutes (Sterling’s BestPlaces, April 13, 2012). The average commute time in minutes for 48 cities are as follows:Albuquerque 23.3 Jacksonville 26.2 Phoenix 28.3Atlanta 28.3 Kansas City 23.4 Pittsburgh 25.0Austin 24.6 Las vegas 28.4 Portland 26.4Baltimore 32.1 Little Rock 20.1 Providence 23.6Boston 31.7 Los Angeles 32.2 Richmond 23.4Charlotte 25.8 Louisville 21.4 Sacramento 25.8Chicago 38.1 Memphis 23.8 Salt Lake City 20.2Cincinnati 24.9 Miami 30.7 San Antonio 26.1Cleveland 26.8 Milwaukee 24.8 San Diego 24.8Columbus 23.4 Minneapolis 23.6 San Francisco 32.6Dallas 28.5 Nashville 25.3 San Jose 28.5Denver 28.1 New Orleans 31.7 Seattle 27.3Detroit 29.3 New York 43.8 St. Louis 26.8el Paso 24.4 Oklahoma City 22.0 Tucson 24.0Fresno 23.0 Orlando 27.1 Tulsa 20.1indianapolis 24.8 Philadelphia 34.2 Washington, D.C. 32.8a. What is the mean commute time for these 48 cities?
- The average number of minutes Americans commute to work is 27.7 minutes (Sterling’s BestPlaces, April 13, 2012). The average commute time in minutes for 48 cities are as follows:Albuquerque 23.3 Jacksonville 26.2 Phoenix 28.3Atlanta 28.3 Kansas City 23.4 Pittsburgh 25.0Austin 24.6 Las vegas 28.4 Portland 26.4Baltimore 32.1 Little Rock 20.1 Providence 23.6Boston 31.7 Los Angeles 32.2 Richmond 23.4Charlotte 25.8 Louisville 21.4 Sacramento 25.8Chicago 38.1 Memphis 23.8 Salt Lake City 20.2Cincinnati 24.9 Miami 30.7 San Antonio 26.1Cleveland 26.8 Milwaukee 24.8 San Diego 24.8Columbus 23.4 Minneapolis 23.6 San Francisco 32.6Dallas 28.5 Nashville 25.3 San Jose 28.5Denver 28.1 New Orleans 31.7 Seattle 27.3Detroit 29.3 New York 43.8 St. Louis 26.8el Paso 24.4 Oklahoma City 22.0 Tucson 24.0Fresno 23.0 Orlando 27.1 Tulsa 20.1indianapolis 24.8 Philadelphia 34.2 Washington, D.C. 32.8a. What is the mean commute time for these 48 cities?b. Compute the third quartileNakalinzi country farms, a large modern farming corporation in Wakiso, plants cornand wheat on a large tract of irrigated land for a contract to produce Mwana Mugimuporridge for the UNICEF aided world children. Corn requires a special soil that isscarce, and only 500 acres are available for this crop. Wheat can be plantedanywhere on Nakalinzi Country farm’s land. Because of the drought, the regionalwater district office will allow Nakalinzi Country farm's to pump 800 acre-feet of waterfor this season’s plantings. Each acre of corn requires 0.75 acre-foot of water, andeach acre of wheat requires 0.5 acre foot of water for the season. How many acresshould Nakalinzi Country farm's plant in corn and wheat, considering these shortages,if the estimated profit per acre is $400 for corn and $250 for wheat? Use Linearprogramming both graphical and simultaneously to solve this problemDietcolawasonsalelastweek;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…
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