WGU C955 Applied Probability and Statistics OA 2025 update | comprehensive questions and verified answers (complete solutions) Exam |ASSURED SUCCESS |GRADE A+!!

Has distinct values, can be counted, had unconnected points (think dots)

Discrete data

Has values within a range, measured not counted, does not have gaps between data points (data is connected lines or curves).

Continuous data

Days of the week

Example of discrete data

A group of symbols such as numbers and operators that has mathematical validity

Expressions

The order in which the numbers appear in the sum can be reversed

Commutative

Adding 0 to any number does not change the original number

Identity property

Values that are equally far from 0 on the number line.

Additive inverse

When multiplying a positive number by a negative number the result is always

Negative

Multiplying a negative number by a negative number results in a positive

Positive

Integers that evenly divide the initial integer

Factors

Positive integer with exactly two positive factors consisting of 1 and itself

Prime number

Has at least one positive factor other than one and itself

Composite number

Process of breaking up a composite number into its prime factors

Factorization

Any integer greater than one is either Prime or the product of Prime numbers

fundamental theorem of arithmetic

Positive square root of a number

Principal square root

Number under radical sign √16=4

Radican

Represents less than or greatest than on the number line

Open Circle

Product of any integer with itself yields a perfect square.

Perfect square

positive numbers with a whole value

Whole numbers

Numbers with no fractions or decimal value but can be positive or negative

Integers

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.

Rational numbers

Everything that can be included in a number line including pi.

Real numbers

Express numbers which are part of a whole

Fractions

Number written before the slash or above the fraction bar

Numerator

Numerator is less than denominator and the value of the fraction is less than one

Proper fraction

Numerator is greater than denominator and therefore is greater than one except with negative fractions

Improper fraction

A whole number and proper fraction. A negative sign in front applies to both parts of the mixed number.

Mixed numbers

Integers created by multiplying one number times another number

Multiples

Express numbers which are part of a whole

Fractions

Number written before the slash or above the fraction bar

Numerator

Numerator is less than denominator and the value of the fraction is less than one

Proper fraction

Numerator is greater than denominator and therefore is greater than one except with negative fractions

Improper fraction

A whole number and proper fraction. A negative sign in front applies to both parts of the mixed number.

Mixed numbers

Integers created by multiplying one number times another number

Multiples

The number which of multiplied by divisor gives you one (like the fraction flipped over)

Reciprocal

Has digits that end

Terminal decimal

Comparison of two numbers

Ratio

A ratio that compares two quantities having different units of measure

Rate

True statement in which two ratios are equal to each other. Two days are proportional of they are equivalent.

Proportion

One part of a proportion is a variable or unknown quantity

Conditional proportion

Celsius x 9/5 + 32

Celsius to Fahrenheit

(Fahrenheit - 32) x 5/9

Fahrenheit to Celsius

Number with a fixed value. All real numbers are constants

Constant

Addition, subtraction, multiplication, division

Elementary operations

The number an exponent is written next to

Base

Symbol that represents our holds the place of a numerical value

Variable

A number by which a variable is being multiplied. Coefficients are written in front of variables. 16x, 16 is coefficient. If there is no number you assume an invisible1.

Coefficient

Can be a single constant, a single, or a number of constants and variables multiplied together.

Term

String of terms connected by division, addition, and subtraction.

Algebraic expression

Constants at end. Write terms with the largest exponents first. Always write in descending order of exponent value with constants at the end.

How to write an algebraic expression

Operations that undo each other. Subtraction is inverse of addition. Division is inverse of multiplication.

Inverse operation

Have the same variable with the same exponent

Like terms

Refers to largest exponent in an expression

Degree of an expression

Has degree of 1

Linear

Has degree of 2

Quadratic

Has degree of 3

Cubic

Has degree of 0

Constant

Principle used to multiply a single term by multiple terms. If there are parenthesis around multiple terms which are in turn multiplied by a single term, we can use this property.

Distributive property