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- The molarity of a solute in solution is defined to be the number of moles of solute per liter of solution (1 mole = 6.02 × 1023 molecules). If X is the molarity of a solution of sodium chloride (NaCl), and Y is the molarity of a solution of sodium carbonate (Na2CO3), the molarity of sodium ion (Na+)inasolution made of equal parts NaCl and Na2CO3 is given by M = 0.5X + Y. Assume X and Y are independent and normally distributed, and that X has mean 0.450 and standard deviation 0.050, and Y has mean 0.250 and standard deviation 0.025. a) What is the distribution of M? b) Find P(M > 0.5).If the population of a certain county was 100,000 in 1998 and 110,517 in 2008 and the for- mula y 5 P0eht applies to the growth of the county’s pop- ulation, estimate the population of the county in 2023Find the values for each of the dimensions of an open-top box of length x, width y, and height 864,000/(xy) (in inches) such that the box requires the least amount of material to make. Length: (in) Width: (in) Height: (in)
- The molarity of a solute in solution is defined to be the number of moles of solute per liter of solution (1 mole = 6.02 × 1023 molecules). If X is the molarity of a solution of magnesium chloride (MgCl2), and Y is the molarity of a solution of ferric chloride (FeCl3), the molarity of chloride ion (Cl−) in a solution made of equal parts of the solutions of MgCl2 and FeCl3 is given by M = X + 1.5Y. Assume that X has mean 0.125 and standard deviation 0.05, and that Y has mean 0.350 and standard deviation 0.10 .Assuming X and Y to be independent, find σM.Please don't provide handwritten solution ...Carry out the following operations as if they were calculations of experimental results with the correct number of significant figures. а. 3.215 x 13.2 ÷ 0.218 = | b. (4.123 x 0.12) + 24.2 = с. (17.103 + 2.03) x 1.02521 = d. 2.02m + 8.102m - 0.0297m = е. 1.2 cm x 1.79 cm
- Sales of fine-cut cigarettes (in millions) in a country are given by y = - 14.898x + 356.467x + 5332.618, where x is the number of years after 1980. During what years does this model indicate that sales would be at least 6 billion? The sales are at least 6 billion for the years through (Round up to the nearest year as needed.)2) ve = U," t Zax Solve for %3DThe purchased cost of a shell - and - tube heat exchanger (floating head and carbon - steel tube ) with 100 ft? of heating surface was $ 3,500 in 2000. What will be purchased cost of a similar heat exchanger with 280 N of heating surface in 2009 if the purchased - cost- capacity exponent is 0.60 for surface area ranging from 100 to 400 ft? . If the purchased- cost-capacity exponent for this type of exchanger is 0.81 for surface area ranging from 400 to 2000 ft?, what will be the purchased cost of a heat exchanger with 800 N of heating surface in 2000 ? Marshall and swift equipment- cost index(all industry)( 2000 560) ( 2009 790)