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Andrea and Helen participated in a donut eating contest. Andrea ate six more than four times the number of donuts that Helen ate. Let d represents the number of donuts Helen ate. Write the expression that gives the number of donuts that Andrea ate. Find the range of the given function y = 5x + 2, where x > -2. What is radioactive dating?A. A method of determining the age of a fosall based on the amountof certain isotopes that remain in a fossil or rockB. A method of determining the age of a fossil that estimates the ageof the organism at its deathC. A method of determining the age of a fossil based on acomparison to the age of other similar fossilD. A method of determining the age of a fossil that estimates howclosely related various fossilized organisms were the box plot represents the number of math problems on the quizzes for an algebra course. what is the range of the data?67910 A new hockey stick costs $57.00 at the sporting goods store. If there is a 6%sales tax, what is the actual cost of the hockey stick? A food snack manufacturer samples 15 bags of pretzels off the assembly line and weighed their contents. If the sample mean is 9.9 and the sample standard deviation is 0.30, find the 95% confidence interval for the true mean. Which event resulted directly from the growth of railroads in the 19th century?A. More women participated in the workforce.B. Banking practices became fairer to farmers.C. Standardized time zones were created.D. Child labor practices were improved. Geo means what? And Graphein means what? Type Calculations. Given the balanced equation: 2 Al + 3 H2SO4---> Al2(SO4)3 + 3 H2 Molar mass (g/mol): Al=26.98; H2SO4=98.08; Al2(SO4)3= 342.15; H2=2.02 A) How many mole of H2 gas can be produced when 33.8 g of Al are consumed? B) When 1.60 mol of H2SO4 are used in a reaction, how many grams of Al2(SO4)3 can be produced? C) For part B,if actual yield for Al2(SO4)3 is 100.0 g, what is percent yield? Parkinsons disease is a brain disorder that may be caused by mutations in several genes that code for the production of alpha-synuclein. Individuals who have Parkinsons disease exhibit symptoms such as uncontrollable tremors, difficulty walking, and loss of coordination. How might geneticists determine where the mutations that cause Parkinsons disease are located? PCR analysis gene mapping DNA fingerprinting STR analysis The Department of Housing and Urban Development (HUD) would like to test the hypothesis that the average size of a newly constructed house in 2010 is different from the average size of a newly constructed house in 2000. The following data summarizes the sample statistics for house sizes, in square feet, for both years. Assume that the population variances are equal. 2000 2010 Sample mean 2,180 2,390 Sample size 15 12 Sample standard deviation 300 320 If Population 1 is defined as homes built in 2000 and Population 2 is defined as homes built in 2010, which one of the following statements is true? A. Because the 95 % confidence interval includes zero, HUD cannot conclude that the average size of a newly constructed house in 2010 is different from the average size of a newly constructed house in 2000. B. Because the 95 % confidence interval does not include zero, HUD can conclude that the average size of a newly constructed house in 2010 is different from the average size of a newly constructed house in 2000. C. Because the 95 % confidence interval includes zero, HUD can conclude that the average size of a newly constructed house in 2010 is equal to the average size of a newly constructed house in 2000. D. Because the 95 % confidence interval does not include zero, HUD can conclude that the average size of a newly constructed house in 2010 is not different from the average size of a newly constructed house in 2000. Mrs smith invests 30,000 (some in a 5% account, some in an 8% account). After the year shes earned 2100. How much did she put in each account? PLEASE HELP!! which of the following was not a new business created by the rise of automobile1. Roadside restaurants 2. national parks 3. roadside cabins 4. gas stations PLEASE HELP ME Logan has twice as many contacts in his phone as Marcus. Janet has 8 more then 1/3 of the number of contacts that Marcus has. Marcus has 243 contacts in his phone. How many more contacts does Logan have than Janet? Which situation best illustrates the concept of scarcity?a class designing and selling calendarsa cook learning to be an executive chefa friend buying a copy of a popular DVDa person buying a used car due to limited income what was the reason for the panama canal what are blended mortgage payments? You measure the current through a 27.7 resistor to be 753 mA . What is the potential difference across the contacts of the resistor? Why does the story's settingpose a problem for would beburglars (lines 99105)? Which of the sets of ordered pairs represents a function? (1 point)A = {(2, 7), (1, 5), (7, 2), (2, 9)}B = {(5, 3), (2, 9), (3, 8), (9, 3)}