Obtain a solution to the following Chinese program (circa 400), there are three sisters of whom the eldest comes home once every 5 days the middle sister once every 4 days and the youngest every 3 days. In how many days will all three meet together?
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Obtain a solution to the following Chinese program (circa 400), there are three sisters of whom the eldest comes home once every 5 days the middle sister once every 4 days and the youngest every 3 days. In how many days will all three meet together?
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- The VIP cafeteria door on the Death Star promptly opens at 11:00 am and closes at 1:00 pm (Standard Galactic Time). Nobody is allowed to enter at other times but guests can stay until they finish their meal. To keep their lean physiques, Sith Lords usually spend their allotted 10-minute lunch break in the cafeteria sipping organic kale smoothies. Darth Sidious has a yoga class at 11:00 am, so he never has lunch before noon. Darth Vader must use a straw, so he is allowed an additional 3 minutes to slurp his smoothie. What is the probability that the two of them meet today in the cafeteria? Use continuous probabiltiyThe VIP cafeteria door on the Death Star promptly opens at 11:00 am and closes at 1:00 pm (Standard Galactic Time). Nobody is allowed to enter at other times but guests can stay until they finish their meal. To keep their lean physiques, Sith Lords usually spend their allotted 10-minute lunch break in the cafeteria sipping organic kale smoothies. Darth Sidious has a yoga class at 11:00 am, so he never has lunch before noon. Darth Vader must use a straw, so he is allowed an additional 3 minutes to slurp his smoothie. What is the probability that the two of them meet today in the cafeteria?Johnson Filtration, Inc. provides maintenance service for water-filtration systems. Suppose that in addition to information on the number of months since the machine was serviced and whether a mechanical or an electrical repair was necessary, the managers obtained a list showing which repairperson performed the service. Repair Time(hours) Months SinceLast Service Type ofRepair Repairperson 2.9 2 electrical Dave Newton 3.0 6 mechanical Dave Newton 4.8 8 electrical Bob Jones 1.8 3 mechanical Dave Newton 2.9 2 electrical Dave Newton 4.9 7 electrical Bob Jones 4.2 9 mechanical Bob Jones 4.8 8 mechanical Bob Jones 4.4 4 electrical Bob Jones 4.5 6 electrical Dave Newton Ignore for now the months since the last maintenance service (x1 ) and the repairperson who performed the service. Develop the estimated simple linear regression equation to predict the repair time (y) given the…
- STATE: Which type of fast‑food chain fills orders most accurately at the drive‑thru window? The Quick Service Restaurant (QSR) magazine drive‑thru study visits restaurants in the largest fast‑food chains in all 50 states. Visits occurred throughout the day, starting at 5:00 A.M and ending at 7:00 P.M. During each visit, the researcher ordered a main item, a side item, and a drink and made a minor special request such as a beverage with no ice. After receiving the order, all food and drink items were checked for complete accuracy. Any food or drink item received that was not exactly as ordered resulted in the order being classified as inaccurate. Also included in the measurement of accuracy were condiments asked for, napkins, straws, and correct change. Any errors in these resulted in the order being classified as innacurate. In 2019, Arby's, Burger King, Carl's Jr., Chick-fil-A, Dunkin', Hardee's, KFC, McDonald's, Taco Bell, and Wendy's were included in the study. KFC had the most…From time to time, the UTM Human Resource (UTMHR) department observes various employees fortheir work productivity. Recently UTMHR wanted to check whether the four employees at theDepartment XYZ counters, serve on average the same number of customers per hour. The HR managerobserved each of the four employees for a certain number of hours. The following Table 5 gives thenumber of customers served by the four employees during each of the observed hours. employee a employee b employee c employee d 19 14 11 24 21 16 14 19 26 14 21 21 24 13 13 26 18 17 16 20 employee a employee b employee c employee d mean 21.6 14.8 15.0 22.0 s 3.4 ? 3.8 ? c) Find variance between sample,d) Find variance within sample, e) Calculate the test statistic, F.f) Determine the numerator and denominator.g) Find the critical value of F at the 5% significance level, and test the claim that the mean numberof customers served per hour by each of these four employees is…From time to time, the UTM Human Resource (UTMHR) department observes various employees fortheir work productivity. Recently UTMHR wanted to check whether the four employees at theDepartment XYZ counters, serve on average the same number of customers per hour. The HR managerobserved each of the four employees for a certain number of hours. The following Table 5 gives thenumber of customers served by the four employees during each of the observed hours. employee a employee b employee c employee d 19 14 11 24 21 16 14 19 26 14 21 21 24 13 13 26 18 17 16 20 a) Define the hypothesis null, H0 and hypothesis alternative, H1.b) Given below are means and standard deviation for some of the employees. Calculate thestandard deviation for Employee B and D.
- A reseach development department at an oda campany manfacturing determines that 20% if people who purchase their products during any given mouth will not purchese the next mouth. On other hand 30% of the people who could not purchase during any given month will purchase in the next month. On a population of 1000 people 100 purchased their products this month. How many will purchase their product. A, next month B, In two mouth C, In long runFigures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 63% were stolen by professionals (P), whereas 37% were stolen by amateurs (primarily for joy rides) (A). Of the vehicles presumed stolen by professionals, 25% were recovered within 48 hours (R<48), 23% were recovered after 48 hours (R>48), and 52% were never recovered (N). Of the vehicles presumed stolen by amateurs, 33% were recovered within 48 hours, 63% were recovered after 48 hours, and 4% were never recovered. (b) What is the probability that a vehicle stolen by a professional in this city will be recovered within 48 hours?(c) What is the probability that a vehicle stolen in this city will never be recovered? (Round your answer to four decimal places.)SupposethatAandBaretwoindependenteventswithP(A) = 0.3andP(B) = 0.3. Calculate(a) P(A and B) (b) P(A or B) (c) P(A and Bc) (d) P(Ac or Bc)
- Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…Comcast Corporation is the largest cable television company, the second largest Internet service provider, and the fourth largest telephone service provider in the United States. Generally known for quality and reliable service, the company periodically experiences unexpectedservice interruptions. On January 14, 2014, such an interruption occurred for the Comcastcustomers living in southwest Florida. when customers called the Comcast office, a recordedmessage told them that the company was aware of the service outage and that it was anticipated that service would be restored in two hours. Assume that two hours is the mean time todo the repair and that the repair time has an exponential probability distribution.a. what is the probability that the cable service will be repaired in one hour or less?b. what is the probability that the repair will take between one hour and two hours?c. For a customer who calls the Comcast office at 1:00 p.m., what is the probability thatthe cable service…The Kleenglass Corporation makes a dishwasherthat has excellent cleaning power. This dishwasheruses less water than most competitors, and it isextremely quiet. Orders have been received fromseveral retail stores for delivery at the end of each ofthe next 3 months, as shown below: MONTH NUMBER OFUNITSJune 195July 215August 205 Due to limited capacity, only 200 of these dish-washers can be made each month on regular time, and the cost is $300 each. However, an extra 15 unitsper month can be produced if overtime is used, butthe cost goes up to $325 each. Also, if there are anydishwashers produced in a month that are not soldin that month, there is a $20 cost to carry this item to the next month. Use linear programming to deter-mine how many units to produce in each month on regular time and on overtime to minimize the totalcost while meeting the demand.