APPLIED PROBABILITY AND
STATISTICS QUESTIONS WITH
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Changing Improper Fractions and Mixed Numbers - Answer - 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 - Answer - 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 - Answer - Has distinct values, can be counted, has unconnected points (dots)
Continuous data - Answer - 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 - Answer - 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 - Answer - A prime number is a number that has exactly two positive factors; 1
and itself.
Composite Number - Answer - A number that is not prime. It has 2 or more positive factor,
including 1 and itself.
Prime Factorization - Answer - Writing the number as a product of only prime numbers.
Greatest Common Factor (GCF) - Answer - The larges number that divides all the given numbers
evenly.
Multiples of a number - Answer - Numbers that can be obtained by multiplying the given
number by 1, 2, 3, 4, etc.
Least Common Multiple (LCM) - Answer - the smallest positive number that can be divided by
the given numbers
Centigrade/Fahrenheit Conversions - Answer - C = (F - 32) X 5/9
F = (C X 9/5) + 32
Unit Conversions for Household Measures of Volume - Answer - 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 - Answer - 1 L = 1000 mL
1kg = 1000 g
1 g = 1000 mg
1 mg = 1000 mcg
Conversions between Household and Metric Units - Answer - 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 - Answer - Terms that have the same variable raised to the same power; they can be
combined using addition and subtraction
Addition/Subtraction Principle - Answer - We can add or subtract the same number to both
sides of an equation and the resulting expression remains equal.
Multiplication/Division Principle - Answer - 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 - Answer - Cross Multiply, if a/b = c/d then a x d = b x c
Slope-Intercept Equation - Answer - y = mx + b
Where "m" is the slope, "b" is the y-intercept, and "x" and "y" follow the coordinate formula
(x,y)