Engineering Formula SheetStatisticsModeMeanPlace data in ascending order.Mode most frequently occurring value xµ mean valueΣxi sum of all data values (x1, x2, x3, n number of data values (xMedianPlace data in ascending order.If n is odd, median central valueIf n is even, median mean of two central valuesStandard Deviation If two values occur at the maximum frequency thedata set is bimodal.If three or more values occur at the maximumfrequency the data set is multi-modal.)n number of data valuesσ standard deviationxi individual data value ( x1, x2, x3, Rangen number of data valuesxmax maximum data valuexmin minimum data valueRange xmax - xminProbabilityIndependent EventsP (A and B and C) PAPBPCFrequencyP (A and B and C) probability of independentevents A and B and C occurring in sequencePA probability of event AxxxxMutually Exclusive Eventsfx relative frequency of outcome xnx number of events with outcome xn total number of eventsPx probability of outcome xfa frequency of all eventsBinomial Probability (order doesn’t matter)P (A or B) PA PBP (A or B) probability of either mutually exclusiveevent A or B occurring in a trialPA probability of event AΣxi sum of all data values (x1, x2, x3, n number of data valuesConditional ProbabilityPk binomial probability of k successes in n trialsp probability of a successq 1 – p probability of failurek number of successesn number of trialsPLTW, Inc.( )( )( )( )( )( )( )P (A D) probability of event A given event DP(A) probability of event A occurringP( A) probability of event A not occurringP(D A) probability of event D given event A did not occurEngineering FormulasIED POEDECEAAEBECIM EDD1
Plane GeometryEllipseRectangle2bCirclePerimeter 2a 2bArea ab2aBTriangleParallelogramhArea bha b c – 2bc·cos A222b a c – 2ac·cos B222c a b – 2ab·cos CC2ch2AbsRegular PolygonsRight Triangle2a2b2Area ½ bhf2c a bcan number of sidesθbahTrapezoidArea ½(a b)hhhbhSolid GeometryCubeSpheres3Volume s2Surface Area 6sr3sVolume rSurface Area 4sr2Rectangular PrismCylinderrhVolume wdhSurface Area 2(wd wh dh)dwh2Volume r hSurface Area 2r h 2r2Right Circular ConehIrregular Prismr hVolume AhA area of basePyramidhA area of basePLTW, Inc.Constants2g 9.8 m/s 32.27 ft/s-1132G 6.67 x 10 m /kg·sπ 3.14159Engineering FormulasIED POEDE2CEAAEBECIM EDD2
ConversionsMassAreaForce21 acre 4047 m2 43,560 ft2 0.00156 mi1 kg 2.205 lbm1 slug 32.2 lbm1 ton 2000 lbm1N1 kipEnergy 0.225 lbf 1,000 lbf1J 0.239 cal-4 9.48 x 10 Btu 0.7376 ft·lbf1kW h 3,600,000 JPressureLengthVolume1m1 km1 in.1 mi1 yd 3.28 ft 0.621 mi 2.54 cm 5280 ft 3 ft1L1mL1 atm 0.264 gal3 0.0353 ft 33.8 fl oz3 1 cm 1 cc1psiTemperature UnitEquivalentsTime1d1h1 min1 yr1K 24 h 60 min 60 s 365 d 1 ºC 1.8 ºF 1.8 ºR 1.01325 bar 33.9 ft H2O 29.92 in. Hg 760 mm Hg 101,325 Pa 14.7 psi 2.31 ft of H2ODefined Units1J1N1 Pa1V1W1W1 Hz1F1HPower1WSee below fortemperature calculation 3.412 Btu/h 0.00134 hp 14.34 cal/min 0.7376 ft·lbf/s 1 N·m 1 kg·m / s2 1 N / m2 1W/A 1J/s 1V/A 1 s-1 1 A·s / V 1 V·s / VSI PrefixesNumbers Less Than OnePower of ozeptoyocto-EquationsMass and WeightNumbers Greater Than OnePower of 11024dcmµnpfazyTemperatureTK TC 273M VDmTR TF 460W mgTF PLTW, Inc.dahkMGTPEZYForc
Engineering Formula Sheet Probability Conditional Probability Binomial Probability (order doesn’t matter) P k ( binomial probability of k successes in n trials p probability of a success –p probability of failure k number of successes n number of trials Independent Events P (A and B and C) P A P B P C
Table 68: Shirt Laundry Formula 04: White (No Starch) Table 69: Shirt Laundry Formula 05: Colored (No Starch) Table 70: Shirt Laundry Formula 06: Delicates Table 71: Shirt Laundry Formula 07: Stain Treatment Table 72: Shirt Laundry Formula 08: Oxygen Bleach Table 73: Shirt Laundry Formula 09: Stain Soak Table 74: Shirt Laundry Formula 10 .
the empirical formula of a compound. Classic chemistry: finding the empirical formula The simplest type of formula – called the empirical formula – shows just the ratio of different atoms. For example, while the molecular formula for glucose is C 6 H 12 O 6, its empirical formula
A Note about Array formulas (not for Excel 365 / Excel 2021) Sometimes, you will need to enter a formula as array formula. In Excel 365/Excel 2021, all formulas are treated as Array formula, hence you need not enter any formula as Array formula. Only for older versions of Excel, you might need to enter a formula as Array formula.
The F1 FORMULA 1 logo, F1 logo, FORMULA 1, FORMULA ONE, F1, FIA FORMULA ONE WORLD CHAMPIONSHIP, GRAND PRIX and related marks are trade marks of Formula One Licensing BV, a . FORMULA 1 HEINEKEN DUTCH GRAND PRIX 2022 - Zandvoort Race History Chart. LAP 6 GAP TIME 1 1:16.350 16 1.051 1:16.213 . Race History Chart. LAP 11 GAP TIME 1 1:16.671 16 .
The F1 FORMULA 1 logo, F1 logo, FORMULA 1, FORMULA ONE, F1, FIA FORMULA ONE WORLD CHAMPIONSHIP, GRAND PRIX and related marks are trade marks of Formula One Licensing BV, a . FORMULA 1 HEINEKEN AUSTRALIAN GRAND PRIX 2022 - Melbourne Race History Chart. LAP 6 GAP TIME 16 2:24.953 . Race History Chart. LAP 11 GAP TIME 16 1:23.356 1 3.085 1:24 .
The F1 FORMULA 1 logo, F1 logo, FORMULA 1, FORMULA ONE, F1, FIA FORMULA ONE WORLD CHAMPIONSHIP, GRAND PRIX and related marks are trade marks of Formula One Licensing BV, a . FORMULA 1 HEINEKEN GRANDE PRÊMIO DE SÃO PAULO 2022 - São Paulo Sprint History Chart. LAP 6 GAP TIME 1 1:14.644 . Sprint History Chart. LAP 11 GAP TIME 1 1:15.456 63 .
The F1 FORMULA 1 logo, F1 logo, FORMULA 1, FORMULA ONE, F1, FIA FORMULA ONE WORLD CHAMPIONSHIP, GRAND PRIX and related marks are trade marks of Formula One Licensing BV, . FORMULA 1 HEINEKEN GRANDE PRÊMIO DO BRASIL 2019 - São Paulo Race History Chart. LAP 6 GAP TIME 33 1:13.493 . Race History Chart. LAP 11 GAP TIME 33 1:13.484 44 2.381 1: .
At the Animal Nutrition Group (ANU), a student can conduct research for a thesis with a workload of 18, 21, 24, 27, 30, 33 (Minor thesis), 36 or 39 ECTS (Major thesis). The aim of this thesis research is to train the students’ academic skills by means of an in-depth, scientific study on a subject of interest. With completion of the thesis, you have demonstrated that you can conduct a .