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18 Cards in this Set
- Front
- Back
Speed =
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Speed = Distance / Time
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Average Speed =
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Average Speed = Total Distance / Total Time
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Only __ x __ and __ + __ yield odd numbers.
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Only (ODD) x (ODD) and (ODD) + (EVEN) yield odd numbers.
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Inequalities should be treated exactly like equations, with two exceptions:
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1. When we multiply or divide an inequality by a NEGATIVE number, we must reverse the direction of the inequality sign.
2. Single-variable equations are usually solved for a specific value, whereas inequalities can only be solved for a range of values. |
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Simple Interest Formula
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(Total of Principle and Interest) = Principle x (1 + rt)
r = the annual interest rate expressed as a decimal, and t = the number of years |
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Compound Interest Formula
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(Total of Principal and Interest) = Principal x (1 + r)^t
r = the annual interest rate divided by the number of times the interest is compounded per year, expressed as a decimal. t = number of times that interest compounds in the given time period |
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Combined Work =
Two persons/things |
T = AB / A + B
T = time both persons/things take to do the job when they work together and independently. |
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Combined Work =
Three persons/things |
T = ABC / AB + BC + AC
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Weighted Average of n terms =
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Weighted Average of n terms = (Percent1)(Average1) + (Percent2)(Average2) + ... + (Percentn)(Averagen)
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Combination Formula =
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n! / k!(n-k)!
gives the number of UNORDERED subgroups of k items that can be selected from a group of n different items, where k < n. If n is a positive integer, n! is the product of the first n positive integer. |
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Permutation Formula =
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n! / (n-k)!
gives the number of ORDERED subgroups of k items that can be made from a set of n different items, where k < n. |
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Staffing a shift - when would you use the combination formula? When would you use the permutation formula?
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- combination (unordered) if you don't care who works and when they work
- permutation (ordered) if you need certain people at certain days and/or times |
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Probability =
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Probability = Number of Desired Outcomes / Total Number of Outcomes
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Sum of the probabilities of all possible outcomes is __?
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1
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Integer x is divisible by 2. Is x/2 even?
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By def. ant multiple of 2 is even, so integer x is even. and x/2 must be an integer. but is x/2 even or odd? Pick 2 numbers for x: x=4 vs. x=6
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using averages to find a missing number.
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Terms = (Average)(Numer of Terms)
pg. 66 |
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Integer x is evenly divisible by 2. Is x/2 even?
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By definition, any mulitple of 2 is even, so integer x is even. And x/2 must be an integer. But is x=4, then x/2=4/2=2 which is even. But is x=6, then x/2=6/2=3 an even. x can be even or odd.
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Two years ago, 450 seniors graduated from inman High School. Last year, 600 seniors graduated. By what percentage did the number of graduating seniors increase?
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Original figure = 450. Increase = 600-450=150. So the percentage increase is 150/450(100%) = 33 1/3%
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