31x = 14(mod127) 26x = 3(mod97)| 3(mod97) 17x = 87(mod101) 24x = 591(mod1001)
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- The iHub features an array of 3D printers for student use. 3D printers use plastic filament spools to print out plastic parts. The iHub purchases 85% of their filament spools from Amazon, and the rest of their filament spools from Flash Forge. It has been determined that 9% of the filament spools from Amazon are defective, while only 3% of the filament spools from Flash Forge are defective. i) The iHub randomly selects one filament spool from its inventory. What is the probability of it being a defective filament spool? (three decimals) ii) If a filament spool at the iHub is randomly selected and determined to be defective, what is the probability that the filament spool was purchased from Amazon? (three decimals)Apperson and Fitz is a chain of clothing stores that caters to high school and college students. It publishes a quarterly catalogue and operates a Web site that features provoca- tively attired males and females. The Web site is very expensive to maintain, and company executives are not sure if the number of hits at the site relate to sales; that is, people may be looking at the site for the pictures rather than as potential customers. The Web master has accumu-lated the following data for hits per month and orders placed at the Web site for the past 20 months. Develop a linear regression model for these data and indi- cate if there appears to be a strong relationship between Web site hits and orders. What would be the forecast for orders with 60,000 hits per month?Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computerized wheel alignment and balancing machine. Managers feel that maintenance expense is related to usage of the machine, and they have collected the following information on weekly usage of the machine (in hours) and annual maintenance expense (in hundreds of dollars) from 10 other companies that own the machine.Company Weekly Usage(hours) Annual maintenance Expense(hundreds of dollars)A 13 17.0B 10 22.0C 20 30.0D 28 37.0E 32 47.0F 17…
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- 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…In a survey of 1501 ninth to twelfth graders in the United States, 1215 said "leaders today are more concerned with their own agenda than with achieving the overall goals of the organization they serve." What is the population? In a survey of 1501 ninth to twelfth graders in the United States, 1215 said "leaders today are more concerned with their own agenda than with achieving the overall goals of the organization they serve." What is the population? All ninth to twelfth graders in the United States All ninth to twelfth graders 1215 ninth to twelfth graders 1501 ninth to twelfth gradersThree components are connected to form a system asshown in the accompanying diagram. Because the componentsin the 2–3 subsystem are connected in parallel, thatsubsystem will function if at least one of the two individualcomponents functions. For the entire system to function,component 1 must function and so must the 2–3 subsystem. The experiment consists of determining the condition ofeach component [S (success) for a functioning componentand F (failure) for a nonfunctioning component].a. Which outcomes are contained in the event A thatexactly two out of the three components function?b. Which outcomes are contained in the event B that atleast two of the components function?c. Which outcomes are contained in the event C that thesystem functions?d. List outcomes in C9, A ø C, A ù C, B ø C, andB ù C.
