If Chrysler increases sales, then it is not the case that both Mercedes introduces a new model and Nissan lays off workers. [C, M, N] A) (~(M • N) ɔC) B) (Cɔ -(M • N)) c) (C ɔ ~M) • N) D (C> (~M•~N)) E) (Cɔ ~M• ~N)
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- How many possible ways are there in arranging a red ball, a blue ball, and a green ball in a non-straight line using only two balls at a time?Either deposit should be required on beer and soft drink containers, or these containers will be discarded along highways and the countryside will look like a dump. If these containers will be discarded either in parks or along highways, then deposits should be required on soft drink containers. Therefore, deposits should be required for soft drink containers. (B, S, H, C, P)Consider a Little League team that has 15 players on its roster. Suppose 6 of the 15 players are left-handed. How many ways are there to select 3 left-handed outfielders and have all 6 other positions occupied by right-handed players?
- 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?The junior class at a high school has 425 students. Looking at registration for next fall, a principle looks at the “core” disciplines of math, language arts, social studies, and science. Knowing that each student must take at least one “core” discipline, she finds: 264 students are taking math, 323 language arts, 243 social studies, 241 science 213 are taking math and language arts, 143 math and social studies, 144 math and science, 111 language arts and social studies, 90 language arts and science, 60 social studies and science 50 students are taking math, language arts, and social studies, 32 math, language arts, and science, 26 math, social studies, and science, and 22 language arts, social studies, and science. How many students will be in all four “core” disciplines?The market research department at a manufacturing plant determines that 30% of the people who purchase the plant's product during any month will not purchase it the next month. On the other hand, 40% of the people who do no purchase the product during any month will purchase it the next month. In a population of 1000 people, 200 people purchased the product this month. How many will purchase the product the next month and in 2 months.
- According to a survey conducted by the National Pizza Foundation that I just now made up, out of 109 customers surveyed, 32 prefer pizzas with just pepperoni, 40 with just sausage, and 18 with only onions. Thirteen big-time carnivores like pepperoni and sausage, 10 customers prefer sausage and onions, 9 customers like pepperoni and onions; in each case, the third item could be included as well. Seven go all out, ordering all three. How many customers prefer pepperoni, or sausage, or pepperoni and sausage with no onions? What about sausage, or onions, or sausage and onions with no pepperoni? How many go the boring route—none of those toppings?A cellphone company has 1000 employees, 615 are male, 682 are single, and 505 are union members. 475 are single male and 87 are single and union members, 120 employees are single male and union members. Using a Venn Diagram, determine the number of employees who are: a. Male b. Single c. Union members d. Male and union members e. Single union members f. Neither male nor single and not a union member.In a class of 130 SHS students, 41 offers agricultural science, 62 offers business and 31 offers visual art. 16 of those students offers both agricultural science and business only and 14 offers both business and visual arts. Assuming none of the students offers all the three subjects 1. Illustrate the information on a ven diagram 2. Find the number of students who offer I. Only two subjects
- Assume that in a university with 1000 students, 200students are taking a course in mathematics, 300 aretaking a course in physics, and 50 students are takingboth. How many students are taking at least one of thosecourses? How many are taking none of those courses? Howmany students are taking only Mathematics?At a blood drive, 5 donors with type O positive blood, 4 donors with type A positive blood, and 3 donors with type B positive blood are in line, How many distinguishable ways can donors be in line?Assume a boat sends signals by arranging six colored flags on a vertical flagpole. If there are two red and four green flags, how many different signals can we make?