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Exam (elaborations)

WGU C955 applied probability and statistics Accurately Answered

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Discrete data - ANSWERSHas distinct values, can be counted, had unconnected points (think dots) Continuous data - ANSWERSHas values within a range, measured not counted, does not have gaps between data points (data is connected lines or curves). Example of discrete data - ANSWERSDays of the week Expressions - ANSWERSA group of symbols such as numbers and operators that has mathematical validity Commutative - ANSWERSThe order in which the numbers appear in the sum can be reversed Identity property - ANSWERSAdding 0 to any number does not change the original number Additive inverse - ANSWERSValues that are equally far from 0 on the number line. Negative - ANSWERSWhen multiplying a positive number by a negative number the result is always Positive - ANSWERSMultiplying a negative number by a negative number results in a positive Factors - ANSWERSIntegers that evenly divide the initial integer Prime number - ANSWERSPositive integer with exactly two positive factors consisting of 1 and itself Composite number - ANSWERSHas at least one positive factor other than one and itself Factorization - ANSWERSProcess of breaking up a composite number into its prime factors fundamental theorem of arithmetic - ANSWERSAny integer greater than one is either Prime or the product of Prime numbers Principal square root - ANSWERSPositive square root of a number Radican - ANSWERSNumber under radical sign √16=4 Open Circle - ANSWERSRepresents less than or greatest than on the number line Perfect square - ANSWERSProduct of any integer with itself yields a perfect square. Whole numbers - ANSWERSpositive numbers with a whole value Integers - ANSWERSNumbers with no fractions or decimal value but can be positive or negative Rational numbers - ANSWERSNumbers 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 - ANSWERSEverything that can be included in a number line including pi. Fractions - ANSWERSExpress numbers which are part of a whole Numerator - ANSWERSNumber written before the slash or above the fraction bar Proper fraction - ANSWERSNumerator is less than denominator and the value of the fraction is less than one Improper fraction - ANSWERSNumerator is greater than denominator and therefore is greater than one except with negative fractions Mixed numbers - ANSWERSA whole number and proper fraction. A negative sign in front applies to both parts of the mixed number. Multiples - ANSWERSIntegers created by multiplying one number times another number Fractions - ANSWERSExpress numbers which are part of a whole Numerator - ANSWERSNumber written before the slash or above the fraction bar Proper fraction - ANSWERSNumerator is less than denominator and the value of the fraction is less than one Improper fraction - ANSWERSNumerator is greater than denominator and therefore is greater than one except with negative fractions Mixed numbers - ANSWERSA whole number and proper fraction. A negative sign in front applies to both parts of the mixed number. Multiples - ANSWERSIntegers created by multiplying one number times another number Reciprocal - ANSWERSThe number which of multiplied by divisor gives you one (like the fraction flipped over) Terminal decimal - ANSWERSHas digits that end Ratio - ANSWERSComparison of two numbers Rate - ANSWERSA ratio that compares two quantities having different units of measure Proportion - ANSWERSTrue statement in which two ratios are equal to each other. Two days are proportional of they are equivalent. Conditional proportion - ANSWERSOne part of a proportion is a variable or unknown quantity Celsius to Fahrenheit - ANSWERSCelsius x 9/5 + 32 Fahrenheit to Celsius - ANSWERS(Fahrenheit - 32) x 5/9 Constant - ANSWERSNumber with a fixed value. All real numbers are constants Elementary operations - ANSWERSAddition, subtraction, multiplication, division Base - ANSWERSThe number an exponent is written next to Variable - ANSWERSSymbol that represents our holds the place of a numerical value Coefficient - ANSWERSA 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. Term - ANSWERSCan be a single constant, a single, or a number of constants and variables multiplied together. Algebraic expression - ANSWERSString of terms connected by division, addition, and subtraction. How to write an algebraic expression - ANSWERSConstants at end. Write terms with the largest exponents first. Always write in descending order of exponent value with constants at the end. Inverse operation - ANSWERSOperations that undo each other. Subtraction is inverse of addition. Division is inverse of multiplication. Like terms - ANSWERSHave the same variable with the same exponent Degree of an expression - ANSWERSRefers to largest exponent in an expression Linear - ANSWERSHas degree of 1 Quadratic - ANSWERSHas degree of 2 Cubic - ANSWERSHas degree of 3 Constant - ANSWERSHas degree of 0 Distributive property - ANSWERSPrinciple 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.

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