Dave visiting an amusement park spots a mechanical bull ride. Dave watches several customers ride the mechanical bull, and he decides it looks like fun. He pays a fee to ride the mechanical bull. The attendant at the ride gives Dave a piece of paper to sign prior to riding the mechanical bull. The paper says, "I understand that riding this mechanical bull is a dangerous activity with the risk of serious injury." Dave signs the paper, hops up on the mechanical bull, is thrown onto the surrounding mat, and suffers a compound fracture to his leg. Is the amusement park liable in tort to Dave? Why or why not?

Captain john's yachts, inc., located in fort lauderdale, florida, rents three types of ocean-going boats: sailboats, cabin cruisers, and captain john's favorite, the luxury yachts. captain john advertises his boats with his famous "you rent"we pilot" slogan, which means that the company supplies the captain and crew for each rented boat. each rented boat has one captain, of course, but the crew sizes (deck hands, galley hands, etc.) differ. the crew requirements, in addition to a captain, are one for sailboats, two for cabin cruisers, and three for yachts. ten employees are captains, and an additional 18 employees fill the various crew positions. currently, captain john has rental requests for all his boats: four sailboats, eight cabin cruisers, and three luxury yachts. if captain john's daily profit contribution is $50 for sailboats, $70 for cruisers, and $100 for luxury yachts, how many boats of each type should he rent?

You decide that structural changes must be made at holden evans immediately to deal with the additional product lines. equipment and employees will have to be moved around to optimize production of all of the products in house. this shouldn't be too difficult because many of the vitamins and supplements are produced using similar processes. you have several options available to facilitate this process. which of the following methods do you think is the best choice? select an option from the choices below and click submit. because the changes may result in the loss of several key employees, you hire outside consultants who specialize in hr law. this way any employee terminations will not result in lawsuits. you select an outside consulting firm that your company has never worked with before, but it has a reputation for using new technology in product lines that are similar to yours. you select several trusted managers to facilitate the transition of operations from overseas. these individuals can gather information and also smooth any rough spots that may occur.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.