 5.1: A(n) is a mathematical statement describing a realworld situation ...
 5.2: A mathematical statement expressing a relationship of equality is k...
 5.3: The parts of an equation that are given are called the constants, o...
 5.4: The variables, or unknowns, of an equation are represented by l ett...
 5.5: The numerical value of the unknown that makes an equation true is c...
 5.6: A coefficient is a number or quantity placed before another quantit...
 5.7: To transpose means to bring a term from one side of an equation to ...
 5.8: List the order of operations for solving equations. (52)
 5.9: To prove the solution of an equation, we substitute the solution fo...
 5.10: When writing an equation from a written statement, a verb such as i...
 5.11: When writing an equation from a written statement, the word differe...
 5.12: A comparison of two quantities by division is known as a(n) . (55)
 5.13: A mathematical statement showing that two ratios are equal is known...
 5.14: Proportions are solved using a process known as multiplication. (55)
 5.15: For the following statements, underline the key words and translate...
 5.16: For the following statements, underline the key words and translate...
 5.17: For the following statements, underline the key words and translate...
 5.18: For the following statements, underline the key words and translate...
 5.19: Set up and solve equations for each of the following business situa...
 5.20: Set up and solve equations for each of the following business situa...
 5.21: Set up and solve equations for each of the following business situa...
 5.22: Set up and solve equations for each of the following business situa...
 5.23: Set up and solve equations for each of the following business situa...
 5.24: Set up and solve equations for each of the following business situa...
 5.25: Set up and solve equations for each of the following business situa...
 5.26: Set up and solve equations for each of the following business situa...
 5.27: Set up and solve equations for each of the following business situa...
 5.28: Set up and solve equations for each of the following business situa...
 5.29: Use ratio and proportion to solve the following business situations...
 5.30: Use ratio and proportion to solve the following business situations...
 5.31: Use ratio and proportion to solve the following business situations...
 5.32: Use ratio and proportion to solve the following business situations...
 5.33: Use ratio and proportion to solve the following business situations...
 5.34: ne special type of ratio is known as a rate. A rate is a ratio that...
Solutions for Chapter 5: USING EQUATIONS TO SOLVE BUSINESS PROBLEMS
Full solutions for Contemporary Mathematics  6th Edition
ISBN: 9780538481267
Solutions for Chapter 5: USING EQUATIONS TO SOLVE BUSINESS PROBLEMS
Get Full SolutionsContemporary Mathematics was written by and is associated to the ISBN: 9780538481267. Since 34 problems in chapter 5: USING EQUATIONS TO SOLVE BUSINESS PROBLEMS have been answered, more than 23348 students have viewed full stepbystep solutions from this chapter. Chapter 5: USING EQUATIONS TO SOLVE BUSINESS PROBLEMS includes 34 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Contemporary Mathematics, edition: 6.

2 k p  factorial experiment
A fractional factorial experiment with k factors tested in a 2 ? p fraction with all factors tested at only two levels (settings) each

Addition rule
A formula used to determine the probability of the union of two (or more) events from the probabilities of the events and their intersection(s).

Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.

Causeandeffect diagram
A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.

Conditional mean
The mean of the conditional probability distribution of a random variable.

Conidence interval
If it is possible to write a probability statement of the form PL U ( ) ? ? ? ? = ?1 where L and U are functions of only the sample data and ? is a parameter, then the interval between L and U is called a conidence interval (or a 100 1( )% ? ? conidence interval). The interpretation is that a statement that the parameter ? lies in this interval will be true 100 1( )% ? ? of the times that such a statement is made

Consistent estimator
An estimator that converges in probability to the true value of the estimated parameter as the sample size increases.

Convolution
A method to derive the probability density function of the sum of two independent random variables from an integral (or sum) of probability density (or mass) functions.

Correlation
In the most general usage, a measure of the interdependence among data. The concept may include more than two variables. The term is most commonly used in a narrow sense to express the relationship between quantitative variables or ranks.

Covariance matrix
A square matrix that contains the variances and covariances among a set of random variables, say, X1 , X X 2 k , , … . The main diagonal elements of the matrix are the variances of the random variables and the offdiagonal elements are the covariances between Xi and Xj . Also called the variancecovariance matrix. When the random variables are standardized to have unit variances, the covariance matrix becomes the correlation matrix.

Deining relation
A subset of effects in a fractional factorial design that deine the aliases in the design.

Deming
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.

Density function
Another name for a probability density function

False alarm
A signal from a control chart when no assignable causes are present

Finite population correction factor
A term in the formula for the variance of a hypergeometric random variable.

Fisher’s least signiicant difference (LSD) method
A series of pairwise hypothesis tests of treatment means in an experiment to determine which means differ.

Fixed factor (or fixed effect).
In analysis of variance, a factor or effect is considered ixed if all the levels of interest for that factor are included in the experiment. Conclusions are then valid about this set of levels only, although when the factor is quantitative, it is customary to it a model to the data for interpolating between these levels.

Fraction defective
In statistical quality control, that portion of a number of units or the output of a process that is defective.

Generator
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.

Geometric random variable
A discrete random variable that is the number of Bernoulli trials until a success occurs.