Speedy oil provides a single-channel automobile oil change and lubrication service. customers provide an arrival rate of 2.5 cars per hour. the service rate is 5 cars per hour. assume arrivals follow poisson probability distribution and that service times follow an exponential probability distribution. a. what is the average number of cars in the system? b. what is the average time that a car waits for the oil and lubrication service to begin? c. what is the average time a car spends in the system? d. what is the probability that an arrival has to wait for service?

/is used for a fraction 1) if x = 2/3 and y = 3/4, what is the value of (x + y) (x/y) expressed as a common fraction? 2) what is the least positive integer greater than 1 that leaves a remainder of 1 when divided by each of 2, 3, 4, 5, 6, 7, 8, and 9? 3) the ponde family's powerjet pumps 420 gallons of water per hour. at this rate, how many gallons of water will it pump in 45 minutes? 4) kim's insurance company pays 80% of the cost of all prescription medication she purchases in a year beyond the first $250 worth of prescriptions. her prescriptions for this year cost a total of $570. how many dollars of this amounts will kim's insurance company pay?

If the wwight of a package is multiplied by 7/10 the result is 65.8 find the weight of the package

Solve: 25 points find the fifth term of an increasing geometric progression if the first term is equal to 7−3 √5 and each term (starting with the second) is equal to the difference of the term following it and the term preceding it.