Applied Probability and Statistics C955 revision
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Changing Improper Fractions and Mixed Numbers - Correct Answers-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 - Correct Answers-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 - Correct Answers-Has distinct values, can be counted, has unconnected points
(dots)
Continuous data - Correct Answers-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 - Correct Answers-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 - Correct Answers-A prime number is a number that has exactly two positive
factors; 1 and itself.
Composite Number - Correct Answers-A number that is not prime. It has 2 or more positive
factor, including 1 and itself.
Prime Factorization - Correct Answers-Writing the number as a product of only prime numbers.
Greatest Common Factor (GCF) - Correct Answers-The larges number that divides all the given
numbers evenly.
Multiples of a number - Correct Answers-Numbers that can be obtained by multiplying the
given number by 1, 2, 3, 4, etc.
Least Common Multiple (LCM) - Correct Answers-the smallest positive number that can be
divided by the given numbers
Centigrade/Fahrenheit Conversions - Correct Answers-C = (F - 32) X 5/9
F = (C X 9/5) + 32
Unit Conversions for Household Measures of Volume - Correct Answers-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 - Correct Answers-1 L = 1000 mL
1kg = 1000 g
1 g = 1000 mg
1 mg = 1000 mcg
Conversions between Household and Metric Units - Correct Answers-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 - Correct Answers-Terms that have the same variable raised to the same power;
they can be combined using addition and subtraction
Addition/Subtraction Principle - Correct Answers-We can add or subtract the same number to
both sides of an equation and the resulting expression remains equal.
Multiplication/Division Principle - Correct Answers-We can multiply or divide the same number
to both sides of an equation and the resulting expression remains equal. (Divide by 0 is not
allowed)
Butterfly Method - Correct Answers-Cross Multiply, if a/b = c/d then a x d = b x c
Slope-Intercept Equation - Correct Answers-y = mx + b
Where "m" is the slope, "b" is the y-intercept, and "x" and "y" follow the coordinate formula
(x,y)
Slope of a line - Correct Answers-The slope of a line is the ratio of the vertical change between
two points on the line to the horizontal change between those two points.
rise: (y2 - y1) / run: (x2 - x1)
Reducing Fractions Using Prime Factorization - Correct Answers-The steps to reduce a fraction
through prime factorization are as follows:
List the prime factors of both the numerator and denominator.
Cancel the factors that are common to both the numerator and denominator.
Multiply across the numerator and denominator.
6/8
6/8 = 2x3/2x2x2x
2x3/2x2x2x = 3/2x2
3/2x2 = 3/4
Reducing Fractions Using Common Factors - Correct Answers-The steps for the common factors
method are as follows:
Divide numerator and denominator by a common factor.
Continue to divide by common factors.
guided notes faster to understand
Changing Improper Fractions and Mixed Numbers - Correct Answers-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 - Correct Answers-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 - Correct Answers-Has distinct values, can be counted, has unconnected points
(dots)
Continuous data - Correct Answers-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 - Correct Answers-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 - Correct Answers-A prime number is a number that has exactly two positive
factors; 1 and itself.
Composite Number - Correct Answers-A number that is not prime. It has 2 or more positive
factor, including 1 and itself.
Prime Factorization - Correct Answers-Writing the number as a product of only prime numbers.
Greatest Common Factor (GCF) - Correct Answers-The larges number that divides all the given
numbers evenly.
Multiples of a number - Correct Answers-Numbers that can be obtained by multiplying the
given number by 1, 2, 3, 4, etc.
Least Common Multiple (LCM) - Correct Answers-the smallest positive number that can be
divided by the given numbers
Centigrade/Fahrenheit Conversions - Correct Answers-C = (F - 32) X 5/9
F = (C X 9/5) + 32
Unit Conversions for Household Measures of Volume - Correct Answers-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 - Correct Answers-1 L = 1000 mL
1kg = 1000 g
1 g = 1000 mg
1 mg = 1000 mcg
Conversions between Household and Metric Units - Correct Answers-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 - Correct Answers-Terms that have the same variable raised to the same power;
they can be combined using addition and subtraction
Addition/Subtraction Principle - Correct Answers-We can add or subtract the same number to
both sides of an equation and the resulting expression remains equal.
Multiplication/Division Principle - Correct Answers-We can multiply or divide the same number
to both sides of an equation and the resulting expression remains equal. (Divide by 0 is not
allowed)
Butterfly Method - Correct Answers-Cross Multiply, if a/b = c/d then a x d = b x c
Slope-Intercept Equation - Correct Answers-y = mx + b
Where "m" is the slope, "b" is the y-intercept, and "x" and "y" follow the coordinate formula
(x,y)
Slope of a line - Correct Answers-The slope of a line is the ratio of the vertical change between
two points on the line to the horizontal change between those two points.
rise: (y2 - y1) / run: (x2 - x1)
Reducing Fractions Using Prime Factorization - Correct Answers-The steps to reduce a fraction
through prime factorization are as follows:
List the prime factors of both the numerator and denominator.
Cancel the factors that are common to both the numerator and denominator.
Multiply across the numerator and denominator.
6/8
6/8 = 2x3/2x2x2x
2x3/2x2x2x = 3/2x2
3/2x2 = 3/4
Reducing Fractions Using Common Factors - Correct Answers-The steps for the common factors
method are as follows:
Divide numerator and denominator by a common factor.
Continue to divide by common factors.
