WGU C955 applied probability and statistics,
2023/2024, Complete Verified Solution
Discrete data
Has distinct values, can be counted, had unconnected points (think dots)
Continuous data
Has values within a range, measured not counted, does not have gaps between data
points (data is connected lines or curves).
Example of discrete data
Days of the week
Expressions
A group of symbols such as numbers and operators that has mathematical validity
Commutative
The order in which the numbers appear in the sum can be reversed
Identity property
Adding 0 to any number does not change the original number
Additive inverse
Values that are equally far from 0 on the number line.
Negative
When multiplying a positive number by a negative number the result is always
Positive
Multiplying a negative number by a negative number results in a positive
Factors
Integers that evenly divide the initial integer
Prime number
Positive integer with exactly two positive factors consisting of 1 and itself
Composite number
Has at least one positive factor other than one and itself
Factorization
Process of breaking up a composite number into its prime factors
fundamental theorem of arithmetic
Any integer greater than one is either Prime or the product of Prime numbers
Principal square root
Positive square root of a number
Radican
Number under radical sign √16=4
Open Circle
Represents less than or greatest than on the number line
Perfect square
Product of any integer with itself yields a perfect square.
Whole numbers
positive numbers with a whole value
Integers
Numbers with no fractions or decimal value but can be positive or negative
Rational numbers
, Numbers that can be expressed as a fraction or decimal values that have that end or
repeat forever. Includes all integers since all integers can be expressed as fractions.
Real numbers
Everything that can be included in a number line including pi.
Fractions
Express numbers which are part of a whole
Numerator
Number written before the slash or above the fraction bar
Proper fraction
Numerator is less than denominator and the value of the fraction is less than one
Improper fraction
Numerator is greater than denominator and therefore is greater than one except with
negative fractions
Mixed numbers
A whole number and proper fraction. A negative sign in front applies to both parts of the
mixed number.
Multiples
Integers created by multiplying one number times another number
Fractions
Express numbers which are part of a whole
Numerator
Number written before the slash or above the fraction bar
Proper fraction
Numerator is less than denominator and the value of the fraction is less than one
Improper fraction
Numerator is greater than denominator and therefore is greater than one except with
negative fractions
Mixed numbers
A whole number and proper fraction. A negative sign in front applies to both parts of the
mixed number.
Multiples
Integers created by multiplying one number times another number
Reciprocal
The number which of multiplied by divisor gives you one (like the fraction flipped over)
Terminal decimal
Has digits that end
Ratio
Comparison of two numbers
Rate
A ratio that compares two quantities having different units of measure
Proportion
True statement in which two ratios are equal to each other. Two days are proportional of
they are equivalent.
Conditional proportion
One part of a proportion is a variable or unknown quantity
Celsius to Fahrenheit
2023/2024, Complete Verified Solution
Discrete data
Has distinct values, can be counted, had unconnected points (think dots)
Continuous data
Has values within a range, measured not counted, does not have gaps between data
points (data is connected lines or curves).
Example of discrete data
Days of the week
Expressions
A group of symbols such as numbers and operators that has mathematical validity
Commutative
The order in which the numbers appear in the sum can be reversed
Identity property
Adding 0 to any number does not change the original number
Additive inverse
Values that are equally far from 0 on the number line.
Negative
When multiplying a positive number by a negative number the result is always
Positive
Multiplying a negative number by a negative number results in a positive
Factors
Integers that evenly divide the initial integer
Prime number
Positive integer with exactly two positive factors consisting of 1 and itself
Composite number
Has at least one positive factor other than one and itself
Factorization
Process of breaking up a composite number into its prime factors
fundamental theorem of arithmetic
Any integer greater than one is either Prime or the product of Prime numbers
Principal square root
Positive square root of a number
Radican
Number under radical sign √16=4
Open Circle
Represents less than or greatest than on the number line
Perfect square
Product of any integer with itself yields a perfect square.
Whole numbers
positive numbers with a whole value
Integers
Numbers with no fractions or decimal value but can be positive or negative
Rational numbers
, Numbers that can be expressed as a fraction or decimal values that have that end or
repeat forever. Includes all integers since all integers can be expressed as fractions.
Real numbers
Everything that can be included in a number line including pi.
Fractions
Express numbers which are part of a whole
Numerator
Number written before the slash or above the fraction bar
Proper fraction
Numerator is less than denominator and the value of the fraction is less than one
Improper fraction
Numerator is greater than denominator and therefore is greater than one except with
negative fractions
Mixed numbers
A whole number and proper fraction. A negative sign in front applies to both parts of the
mixed number.
Multiples
Integers created by multiplying one number times another number
Fractions
Express numbers which are part of a whole
Numerator
Number written before the slash or above the fraction bar
Proper fraction
Numerator is less than denominator and the value of the fraction is less than one
Improper fraction
Numerator is greater than denominator and therefore is greater than one except with
negative fractions
Mixed numbers
A whole number and proper fraction. A negative sign in front applies to both parts of the
mixed number.
Multiples
Integers created by multiplying one number times another number
Reciprocal
The number which of multiplied by divisor gives you one (like the fraction flipped over)
Terminal decimal
Has digits that end
Ratio
Comparison of two numbers
Rate
A ratio that compares two quantities having different units of measure
Proportion
True statement in which two ratios are equal to each other. Two days are proportional of
they are equivalent.
Conditional proportion
One part of a proportion is a variable or unknown quantity
Celsius to Fahrenheit
