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Engineering Formula Sheet

PLTW, Inc. Engineering Formulas Engineering Formula Sheet Probability Binomial Probability (order doesn t matter) Pk = binomial probability of k successes in n trials p = probability of a success q = 1 p = probability of failure k = number of successes n = number of trials Independent Events P (A and B and C) = PAPBPC P (A and B and C) = probability of independent events A and B and C occurring in sequence PA = probability of event A Mutually Exclusive Events P (A or B) = PA + PB P (A or B) = probability of either mutually exclusive event A or B occurring in a trial PA = probability of event A xi = sum of all data values (x1, x2, x3, .. n = number of data values x x x x Frequency fx = relative frequency of outcome x nx = number of events with outcome x n = total number of events Px = probability of outcome x fa = frequency of all events ( | ) ( ) ( | ) ( ) ( | ) ( ) ( | ) Conditional Probability P (A|D) = probability of event A given event D P(A) = probability of event A occurring P(~A) = probability of event A not occurring P(D| ~A) = probability of event D given event A did not occur Mode Place data in ascending order.)

= original length = cross-sectional area E = modulus of elasticity POE 5 AE 4 CEA 4 xx b Moment of Inertia = moment of inertia of a rectangular section -x axis x h x. ... Wedge L Pulley Systems = N IMA = Total number of strands of a single string supporting the resistance d d IMA = Wheel and Axle Effort at Axle Effort at Wheel Lever

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