bob would like to increase his earnings. the option most likely to increase his earnings potential in the long-term is to

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.

Areal estate agent is considering changing her cell phone plan. there are three plans to choose from, all of which involve a monthly service charge of $20. plan a has a cost of $.42 a minute for daytime calls and $.17 a minute for evening calls. plan b has a charge of $.52 a minute for daytime calls and $.15 a minute for evening calls. plan c has a flat rate of $80 with 275 minutes of calls allowed per month and a charge of $.38 per minute beyond that, day or evening.a. determine the total charge under each plan for this case: 150 minutes of day calls and 70 minutes of evening calls in a month. (do not round intermediate calculations. round your answer to 2 decimal places. omit the "$" sign in your response.)c. if the agent will use the service for daytime calls, over what range of call minutes will each plan be optimal? (round each answer to the nearest whole number.include the indifference point itself in each answer.)d. suppose that the agent expects both daytime and evening calls. at what point (i.e., percentage of total call minutes used for daytime calls) would she be indifferent between plans a and b?

Customers arrive at rich dunn's styling shop at a rate of 3 per hour, distributed in a poisson fashion. rich can perform an average of 5 haircuts per hour, according to a negative exponential distribution.a) the average number of customers waiting for haircuts= customersb) the average number of customers in the shop= customersc) the average time a customer waits until it is his or her turn= minutesd) the average time a customer spends in the shop= minutese) the percentage of time that rich is busy= percent