A donur Store sells hom donuts without holes. For out of к boxes of donuts n donuts and donuts of donuts, one may choose the donut. How mony Can one with holes, and bom types different flavorse for with holes. make donuts There must bе Without holes?
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- 11. (See Exercise 10.) According to Definition 5.29, is defined in by if and only if . Show that if and only if . 10. An ordered field is an ordered integral domain that is also a field. In the quotient field of an ordered integral domain define by . Prove that is a set of positive elements for and hence, that is an ordered field. Definition 5.29 Greater than Let be an ordered integral domain with as the set of positive elements. The relation greater than, denoted by is defined on elements and of by if and only if . The symbol is read “greater than.” Similarly, is read “less than.” We define if and only if. As direct consequences of the definition, we have if and only if and if and only if . The three properties of in definition 5.28 translate at once into the following properties of in . If and then . If and then . For each one and only one of the following statements is true: . The other basic properties of are stated in the next theorem. We prove the first two and leave the proofs of the others as exercises.Suppose the audience for the "Ellen Degeneres Show" was mainly LGBT people. Would this imply that these LGBT people are acting collectively?A glazier buys his glass from four different manufacturers - Clearglass (10%),Strongpane (25%), Mirrorglass (30%) and Reflection (35%). In the past, the glazierhas found that 1% of Clearglass' product is cracked, 1.5% of Strongpane's productis cracked, and 2% of Mirrorglass' and Reflection's products are cracked. Theglazier removes the protective covering from a sheet of glass without looking at themanufacturer's name - in other words, it's a random choice. He finds the glass iscracked. What is the probability it was made by Mirrorglass?
- Ajewelrysalespersonsold$1500worthof merchandiseduringthemonthofFebruary.Ifthe salesperson’scommissionis5%,howmuchmoneydidthe salespersonmakeforthecommission?4. Younoticeinyourintroductorypsychologyclassthatmorewomentendtositupfront,andmoremensitintheback.Todeterminewhetherthisdifferenceissignificant,youcollectdataontheseatingpreferencesforthestudentsinyourclass.Thedatafollows: men women front of room 15 27 back of room 32 19 a. Whatisχ2obt? b. Whatisdfforthistest? c. Whatisχ2cv? d. WhatconclusionshouldbedrawnfromtheseresultsThe records of a computer retail store show that out of the 25 customers who purchased a desktop computer last month, 18 also purchased a service plan that extends the warranty for an extra year. Out of the 100 customers who purchased a notebook computer last month, 85 purchased the same service plan. Fill in the blanks below to make the most reasonable statement possible. Last month, customers of the store who purchased ▼(Choose one:desktop/notebook) computers were more likely to purchase the service plan. That is because only ___% did not purchase the service plan, whereas ___% of the customers who bought ▼(Choose one: desktop/notebook) computers did not purchase the service plan.
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- The records of a computer retail store show that out of the 100 customers who purchased a desktop computer last month, 71 also purchased a service plan that extends the warranty for an extra year. Out of the 25 customers who purchased a notebook computer last month, 15 purchased the same service plan.Fill in the blanks below to make the most reasonable statement possible. Last month, customers of the store who purchased ▼(Choose one) computers were more likely to purchase the service plan. That is because only % did not purchase the service plan, whereas % of the customers who bought ▼(Choose one) computers did not purchase the service plan.A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and adrink. If there are four main courses, three desserts, and six drinks to pick from, in howmany ways can a customer select a meal consisting of one choice from each category?The records of a computer retail store show that out of the 25 customers who purchased a desktop computer last month, 18 also purchased a service plan that extends the warranty for an extra year. Out of the 100 customers who purchased a notebook computer last month, 86 purchased the same service plan. Fill in the blanks below to make the most reasonable statement possible Last month, customers of the store who purchased Desktop or Notebook ______computers were more likely to purchase the service plan. That is because__% purchased the service plan, whereas only __% of the customers whobought Desktop or Notebook______ computers purchased the service plan.
