... ()101101)340(.101.24.1097.9101101)340(.101.2)4.1097.9(21++−≤−≤+−−µµ 111.0749.021−≤−≤−µµ We are 95% confident that the mean etch rate forsolution 2 exceeds the mean etch rate forsolution 1 by between 0.1105 and 0.749.11863.117)85.10(10.015.0)15.01(15.028.1)10.01(10.096.1)1()1(2220002/≅==−−−−=−−−−=ppppzppznβα9-53. ... Therefore, 0.002< P-value<0.005. Minitab gives a p-value of 0.0038c) 4.050.125550=−=d, n=60 so, from the OC Chart VI e) for α = 0.05, d= 0.4 and n=60 we find thatβ≅0.2. Therefore, ... same for both samples.P-Value: 0.595A-Squared: 0.269Anderson-Darling Normality TestN: 10StDev: 0.421769Average: 9.9710.510.09.5.999.99.95.80.50.20.05.01.001Probability solution Normal...
... substantial performance of the contract, it discharges the innocent party to proceed further with the performance and entitles him to a right of action for damages and to enforce the remedies for such ... waived. (c) By refusal of a party to perform: On a promisor’s refusal to perform the contract or repudiation thereof even before the arrival of the time for performance, the promisee may at his option ... contractor either for use on payment of hire charges or for doing further work on such property, specific provision for safeguarding government property (including insurance cover) and for recovery...
... point force of 250 N presses down on pistonA. Find the needed extra force on piston B so that none of the pistons have tomove. Solution: No motion in connecting pipe: PA = PB & Forces ... up,spilling the water over the edge. Deduce the formula for the air pressure as afunction of the piston elevation from the bottom, h. Solution: Force balanceH h P 0 Piston: F↑ = F↓PA = ... model when it is used to calculate specificvolume for saturated water vapor as shown in Fig. 3.9. Do the calculation for 10kPa and 1 MPa. Solution: Look at the two states assuming ideal gas...
... Peachtree Accounting. W-2 setup information is used when calculating and printing certain payroll reports, 941 forms, W-2 forms, and W-3 forms. For more information, see “Assign W-2 Payroll ... use department masking. For more information, refer to the “General Ledger” chapter of the Peachtree Accounting User’s Guide.Budget InformationBudget information for each QuickBooks account ... customer information, select Customers/Prospects from the Maintain menu. The Maintain Customers/Prospects window displays. For detailed information on what and how QuickBooks customer information...
... blank. If you manually wrote the check, enter a check number. Then select Post or Save to record the transaction. For more information on entering payments, see Pay Vendors. For more information ... InformationAdding or Editing Company InformationCompany/Company Info Maintain Company Information windowConverting QuickBooks Data to Peachtree AccountingGetting Started Guide278B For ... select Default Information from the Maintain menu. Then, select Employees. The Employee Defaults window displays. For detailed information on what and how QuickBooks job information is converted...
... and loss accounts for the years ended 31 December20X1 20X2£000 £000Profit before provision 2000 2000less Provision for reorganisation costs 200 – ––––– –––––Profit before taxation 1800 ... and loss accounts for the years ended 31 December20X1 20X2£000 £000Profit before provision 2000 2 000less Provision for reorganisation costs 200 – ––––– –––––Profit before taxation 1800 ... accounting for theresulting payments and liability for corporation tax is very straightforward. At the end of anaccounting year, the liability will be the corporation tax payable for the full...
... plc for the year ended 30September 2000. You should start with turnover and end with retained profit carriedforward. Your consolidated profit and loss account should be in a form suitable for publication. ... end.Before adjusting for this, Salter Ltd’s debtor balance in Hepburn plc’s books was £56000.RequiredPrepare a consolidated profit and loss account and balance sheet for Hepburn plc for theyear ... 30% of the preference sharecapital of Glenshee Ltd for £2 million on 1 November 1994. The draft profit and lossaccounts for the companies for the year ended 31 October 1998 were:Balmoral Glensheeplc...
... functions often perform conversions. For example, when you use one ofthe stream classes to display a data primitive, the corresponding function performsthe conversion automatically. For example:int ... possible to count and perform arithmetic6Chapter 1In radix-positional terms a decimal number can be expressed as a sum of digitsexpressed by the formulaThe summation formula for a binary radix, ... 10 2for 0or1niiiibb=×=∑010 for 0 9 ( an integer)niiiiiddd=×≤≤∑PrefaceOur book was conceived as a programming toolkit and a problem-solving resource for professional engineers...
... FUNCTIONSarctan x +arctany =arctanx + y1 – xy for xy < 1,arctan x –arctany =arctanx – y1 + xy for xy >–1.2.3.2-5. Differentiation formulas.ddxarcsin x =1√1 – x2,ddxarccos ... functions.arcsin x +arcsiny =arcsinx1 – y2+ y√1 – x2 for x2+ y2≤ 1,arccos xarccos y = arccosxy(1 – x2)(1 – y2) for x y ≥ 0, ... =π2–1x+13x3–15x5+ ···+(–1)n1(2n – 1)x2n–1+ ··· (|x| > 1).The expansions for arccos x and arccot x can be obtained from the relations arccos x =π2–arcsinx and arccot...
... equationtanγ2–ε4=tanp–a2tanp–b2tanp2tanp–c2TABLE 3.6. Solution of spherical trianglesNo.Three partsspecifiedFormulas for the remaining parts1 Three sidesa, b, cThe angles α, β,andγ are determined by the half-angle formulas and ... has a solutionfor sin b sin α ≤ sina.Remark 2. Different cases are possible:1. If sin a ≥ sin b, then the solution is determined uniquely.2. If sin b sin α <sina, then there are two solutions ... has a solutionfor sin a sin β ≤ sin α.Remark 2. Different cases are possible:1. If sin α ≥ sin β, then the solution is determined uniquely.2. If sin β sin α <sina, then there are two solutions...
... polynomial.LetK1be an upper bound for the positive roots of the polynomial Pn(x),K2be an upper bound for the positive roots of the polynomial Pn(–x),K3> 0 be an upper bound for the positive roots ... 18,P4(x)=216x,P4(x)=216.It is easy to check that for x = 2 this polynomial and all its derivatives take positive values, and therefore c = 2is an upper bound for its positive roots.A method based on ... change sign). It is easy to see that all these polynomials are positive for x = 2. Therefore,c = 2 is an upper bound for the positive roots of the given polynomial.5.1.5-5. Theorems on the...
... formulaslij=⎧⎪⎨⎪⎩aij–j–1s=1lisusj for i ≥ j,0 for i < j,uij=⎧⎪⎪⎨⎪⎪⎩1liiaij–i–1s=1lisusj for i < j1 for i = j,0 for i > j.5.5.2-3. Solutions ... a solution of system (5.5.1.1).2. The difference of any two solutions of the nonhomogeneous system (5.5.1.1) is a solution of the homogeneous system (5.5.1.3).3. The sum of a particular solution ... between solutions of the nonhomogeneous system (5.5.1.1) and solutions ofthe corresponding homogeneous system (5.5.1.3).1. The sum of any solution of the nonhomogeneous system (5.5.1.1) and any solution...
... Summation Formulas for Trigonometric Series8.4.4-1. Summation of trigonometric series with the help of Laplace transforms.When finding sums of trigonometric series, the following formulas may ... divergent asymptotic series of the form (8.5.1.2) is that a finitesum of the series (8.5.1.1) provides a good approximation for the given function for x →∞. For a fixed n, the accuracy of the approximations ... uniformly convergent to thatfunction on the interval(–l, l). For any continuously differentiable 2l-periodic function f(x), its Fourier series [definedby formulas (8.4.2.1)–(8.4.2.2)] is uniformly...