Applied Probability and Statistics
C955 Exam Questions and Answers
Changing Improper Fractions and Mixed Numbers - -Improper fractions can
be converted to mixed numbers by following these steps:
Write division problem with numerator divided by denominator.
Divide to determine quotient and remainder.
Write mixed number with the quotient as the whole number and the
remainder as the numerator over the same denominator.
-Changing Mixed Numbers Into Improper Fractions - -Mixed numbers can
also be converted to improper fractions by following these steps:
Multiply the whole number by the denominator of the fraction.
To the product given by step 1, add the number of the numerator.
Write the result of step 2 as the numerator of the improper fraction. The
denominator of the improper fraction should be the denominator of the
original fraction.
Simplify the improper fraction by diving the numerator and denominator by
all common factors.
-Discrete Data - -Has distinct values, can be counted, has unconnected
points (dots)
-Continuous data - -Has values within a range, measured (not counted)
does not have gaps between data points. (connected lines or curves)
-Sign rule for Multiplication and division - -1. +# x +# = +#
2. -# x -# = +#
A product or division of two numbers of the same sign will result in a positive
number
3. -# x +# = -#
4. +# x -# = -#
A product or division of two numbers of different signs will result in a
negative number
-Prime Number - -A prime number is a number that has exactly two positive
factors; 1 and itself.
, -Composite Number - -A number that is not prime. It has 2 or more positive
factor, including 1 and itself.
-Prime Factorization - -Writing the number as a product of only prime
numbers.
-Greatest Common Factor (GCF) - -The larges number that divides all the
given numbers evenly.
-Multiples of a number - -Numbers that can be obtained by multiplying the
given number by 1, 2, 3, 4, etc.
-Least Common Multiple (LCM) - -the smallest positive number that can be
divided by the given numbers
-Centigrade/Fahrenheit Conversions - -C = (F - 32) X 5/9
F = (C X 9/5) + 32
-Unit Conversions for Household Measures of Volume - -1 tablespoon = 3
teaspoons
1 oz = 2 tablespoons
1 cup = 8 oz
1 pint = 2 cups
1 quart = 1 pints
1 gallon = 4 quarts
-Common Metric Conversions - -1 L = 1000 mL
1kg = 1000 g
1 g = 1000 mg
1 mg = 1000 mcg
-Conversions between Household and Metric Units - -1 cc (Cubic
Centimeter) = 1 mL
1 oz = 30 mL
1 L = 1.057 qt
1 tsp = 5 mL
1 kg = 2.2 lbs
1 oz = 28.35 g
-Like Terms - -Terms that have the same variable raised to the same power;
they can be combined using addition and subtraction
-Addition/Subtraction Principle - -We can add or subtract the same number
to both sides of an equation and the resulting expression remains equal.
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