Transcription of NUMBER AND QUANTITY - ACT
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NUMBER AND QUANTITY - ACT
ACT FORMULA SHEETMATHan = a1 + c(n 1)an = a1(c)n 1 NUMBER AND QUANTITYS equencesLogarithmsRatesSequence with a constant of c:arithmetic sequence:geometric sequence:distance = speed timevariation: QUANTITY = rate timelogab = c ac = bSTATISTICS AND PROBABILITYP ercentsStatisticspercent = part / whole 100%% symbol = divide by 100a% of b = a/100 b = a b/100percent change = change / originalaverage (mean) = sum of terms / NUMBER of termsmedian = middle NUMBER (or average of 2 middle numbers)mode = most common numberrange = biggest smallestProbability and Counting Techniquesprobability = NUMBER of desired terms / total NUMBER of termsP(event happens) + P(event doesn t happen) = 1P(A and B) = P(A) P(B)
circle arc length = central angle / 360° × circumference circle sector area = central angle / 360° × area volume of rectangular prism: V = lwh volume of right cylinder: V = πr²h 3D Figures surface area of rectangular prism: 2(length × width + length × height + width × height) O (h, k) y x y = a(x−h)2 + k x = h
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