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- Consider a family with a mother, father, and two children. Let A1 = {mother has influenza}, A2 = {father has influenza}, A3 = {first child has influenza}, A4 = {second child has influenza}, B = {at least one child has influenza}, C = {at least one parent has influenza}, and D = {at least one person in the family has influenza}. *3.1 What does A1 ∪ A2 mean? *3.2 What does A1 ∩ A2 mean? *3.3 Are A3 and A4 mutually exclusive? *3.4 What does A3 ∪ B mean? *3.5 What does A3 ∩ B mean? *3.6 Express C in terms of A1, A2, A3, and A4. *3.7 Express D in terms of B and C. *3.8 What does A1 mean? *3.9 What does A2 mean? *3.10 Represent C in terms of A1, A2, A3, and A4.21 - Find the standart devition. Standart sapmayı bulunuz. A) 7,39B) 14,78C) 54,64D) 92,5E) 9,37Flowering plant species can be subject to inbreeding, through self-fertilization. Some species have adaptations that help to avoid this inbreeding, through asymmetric flower structures. If the flower structures are “right-handed”, then a pollinator visiting the right-handed flower will get pollen on its left side, and thus, only be able to deposit the pollen on a left-handed flower that it visits later on. [Similarly, pollinator visits to left-handed plants will result in pollen deposits on right-handed plants.] You are interested in studying a particular plant species called Lupinus perennis, that demonstrates handedness, and you wish to know whether one type of handedness is more prevalent than the other (e.g., are left-handed plants more prevalent than right-handed plants?) You sample 30 L. perennis plants, and find that 20 plants are right-handed, and 10 plants are left-handed. Is one type of handedness more prevalent than the other? What is your null hypothesis? Report the…
- A residential building is to be constructed where each floor has one of three possible floor plans A, B, or C. Alternative A has 2 three-room, 3 two-room, and 9 one-room apartments. Alternative B has 6 three-room, 6 two-room, and no one-room apartments. Alternative C has 4 three-room, 3 two-room, and 7 one-room apartments. Let x1, x2, and x3 be the number of floors with respectively the floor plans A, B, and C. Is it possible to have exactly 34 three-room, 33-two-room-, and 55-one-room apartments as a solution?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…Suppose that a computer supplier has two warehouse, one located in city A and another in city B. The supplier receives orders from two customers, one in city C and another in city D. The customer in city C orders 70 units, and the customer in city D orders 50 units. The number of units at the warehouse in city A is 80 and the number of units at the warehouse in city B is 90. The cost of shipping each unit from A to C is 1, from A to D is 2, from B to C is 3, from B to D is 2. Formulate the problem of deciding how many units from each warehouse should be shipped to each customer to minimize the total shipping cosy
- A wireless carrier offers the following plans that a person is considering. The Family Plan: $ 95 monthly fee, unlimited talk and text on up to 5 lines, and data charges of $ 47 for each device for up to 2 GB of data per device. The Mobile Share Plan: $ 180 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $ 30 for each device up to a shared total of 10 GB of data. Use P for the number of devices that need data plans as part of their cost. Find the model of the total cost of the Family Plan $ Find the model of the total cost of the Mobile ShareA company needs to choose one supplier for a particular type of silicon wafer used in the production of semiconductors. The company has three options. Supplier A sells the silicon wafers for $2.40 per wafer, independently of the number of wafers ordered. Supplier B sells the wafers for $2.20 each but does not consider an order for less than 2,000 wafers. Supplier C sells the wafers for $2.00 each but does not accept an order for less than 3,000 wafers. Assume an order setup cost of $200 and an annual requirement of 10,000 wafers. Assume a 20% annual interest rate for holding cost calculations. Which supplier should be chosen to minimize the total annual cost for the wafers, and what is the optimal order quantity? If the replenishment lead time for wafers is three months, determine the reorder point based on the on-hand level of inventory of wafers.(c) Out of a stock of three electronic components A,B and C given as 200, 120 and 150 respectively, it is required to produce two types of circuits. Circuit type l requires 20 resistors,10 transistors and 10 capacitors, while printed circuit type ll requires 10 resistors, 20 transistors and 30 capacitors. If a type l circuit sells at Gh.5 cedis each and type ll circuit at Gh.12 cedis each. (i)Formulate the linear Programming problem to get the maximum Financial returns.(ii) Advice management about how many of each type should be made to get the maximum financial returns algebraically.
- Q 3: (a) Suppose two members of the group of twelve insist on working as a pair---any team must contain either both or neither. How many five-person teams can be formed? (b) Suppose two members of the group of twelve dont get along and refuse to work together on a team. How many five-person teams can be formed?A small company manufactures a touring bike (T), a mountain bike (M), and a racing bike (R). The touring bike retails at $1000, the mountain bike retails at $700, and the racing bike retails at $1,500. The company has two warehouses, one in Adelaide and one in Mount Gambier. The Adelaide warehouse has a stock of 10 T, 15 M, and 20 R. The Mount Gambier warehouse has a stock of 5 T, 15 M, and 10 R. Let S represent the total number of bikes of each type that the company has in stock. Then S = AW for some matrix A. Write down what the matrix A must be.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 graders
