Concept explainers
Candle Sales A store sold an average (arithmetic mean) of x candles per day for k days and then sold y candles on the next day. What is the average number of candles sold daily for the
(a)
(b)
(c)
(d)
(e)
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
Finite Mathematics & Its Applications Plus Mylab Math With Pearson Etext -- Access Card Package (12th Edition)
Additional Math Textbook Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
Finite Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
A Survey of Mathematics with Applications (10th Edition) - Standalone book
Fundamentals of Differential Equations and Boundary Value Problems
Mathematical Ideas (13th Edition) - Standalone book
- Average Traffic Spacing The headway h is the average time between vehicles. On a highway carrying an average of 500 vehicles per flour, the probability P that the headway is at least t seconds is given by P=0.87t. a. What is the limiting value of P? Explain what this means in practical terms. b. The headway h can be calculated as the quotient of the spacing f, in feet, which is the average distance between vehicles, and the average speed v, in feet per second, of traffic. Thus, the probability that spacing is at least f feet is the same as the probability that the headway is at least f/v seconds. Use function composition to find a formula for the probability Q that the spacing is at least f feet. Note: Your formula will involve both f and v. c. If the average speed is 88 feet per second 60 miles per hour, what is the probability that the spacing between two vehicles is at least 40 feet?arrow_forwardContinued This is a continuation of Exercise 13. As we saw earlier, the stock turnover rate of an item is the number of times that the average inventory of the item needs to be replaced as a result of sales in a given time period. Suppose that a hardware store sells 80 shovels each year. a. Suppose that the hardware store maintains an average inventory of 5 shovels. What is the annual stock turnover rate for the shovels? How is this related to the yearly number of orders to the wholesaler needed to restock inventory? b. What would he the annual stock turnover rate if the store maintained an average inventory of 20 shovels? c. Write a formula expressing the annual stock turnover rate as a function of the average inventory of shovels, identify the function and the variable, and state the units.arrow_forwardAreas of Curved Regions The Monte Carlo method can be used to estimate the area under the graph of a function. The figure below shows the region under the graph of f(x)=x2, above the x-axis, between x=0 and x=1. If we choose a point in the square at random, the probability that it lies under the graph of f(x)=x2 is the area under the graph divided by the area of the square. So if we randomly select a large number of point in the square, we have numberofhitsunderthegraphnumberofhitsinthesquareareaundergraphareaofsquare Modify the program from Problem 5 to carry out this Monte Carlo simulation and approximate the required area.arrow_forward
- Conditional probability If 40 of the population have completed college, and 85 of college graduates are registered to vote, what percent of the population are both college graduates and registered voters?arrow_forwardA card is drawn from a standard deck. Find the probability of drawing an ace or a king. Using the Complement Rule to Compute Probabilities We have discussed how to calculate the probability that an event will happen. Sometimes, we are Interested in finding the probability that an event will not happen. The complement of an event E, denoted E’,is the set of outcomes in the sample space that are not in E. For example, suppose we are interested in the probability that a horse will lose a race. If event W is the horse winning the race, then the complement of event W is the horse losing the race. To find the probability that the horse loses the race, we need to use the fact that the sum of all probabilities in a probability model must be 1. P(E)=1P(E) The probability of the horse winning added to the probability of the horse losing must be equal to 1. Therefore, if the probability of the horse winning the race is 19 ,the probability of the horse losing the race is simply. 119=89arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning