Problem 15-5 the reference desk of a university library receives requests for assistance. assume that a poisson probability distribution with an arrival rate of 10 requests per hour can be used to describe the arrival pattern and that service times follow an exponential probability distribution with a service rate of 12 requests per hour. what is the probability that no requests for assistance are in the system? if required, round your answer to four decimal places. p0 = what is the average number of requests that will be waiting for service? if required, round your answer to four decimal places. lq = what is the average waiting time in minutes before service begins? if required, round your answer to four decimal places. wq = hours what is the average time at the reference desk in minutes (waiting time plus service time)? if required, round your answer to one decimal place. w = hours what is the probability that a new arrival has to wait for service? if required, round your answer to four decimal places. pw =

The solution set for 5v2 – 125 = 0 is

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

The sum of these consecutive integers is equal to 9 less than 4 times the least of the integer. find the three integers