EXAMPLE 6 A, = ((12)(34), (123)). (12)(34) (123) (124) (14)(23) {(134) !(123) (143) (132) (13)(24) (12)(34) (234) (243) (142) Cay({(12)(34), (123)}:A,)
Q: 3.Two projects are proposed in the organization. Out of the 30 members, 14 members like project A,…
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Q: EXAMPLE 3 Eval
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Q: , c(0)= 2, c(-2) +C(2)= 3, c(0) + 3c(-2)/2=
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Q: Example 6
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Q: 22. 5n2 + 35 = 0 23. 2m2 + 10 = 0 24.4m2 + 76 = 0 25. -2m2 -6 = 0 raw-Hill Companies, Inc.
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Q: 5) 8.2.-4,-10, B. Given the gener Rule term
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Q: 4. Repeat Exercise 1 for -[- A = 7 -2 1 6 4 ]-[#] 12 7 18 -2 1 10-2 -2
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Q: (csc³o+ 4 csc²e +4 csc@ +2) BY divisim. + (+12) Csc 0+ 2 (seo+2csc"0 + 2 CscO -4 fesco +2) (esc²o +…
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Q: In other words: 5/A-8 + 2/3A-24
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Q: 10 8 -20 -18 -5 6 -9 -11 11 11 4 -5 -10 7 -9 1
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Prove that the Cayley digraph given in Example 6 does not have a
Hamiltonian circuit. Does it have a Hamiltonian path?
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- Purchase of a product The market research department at a manufacturing plant determines that 20 of the people who purchase the plants product during any month will not purchase it the next month. On the other hand, 30 of the people who do not purchase the product during any month will purchase it in the next month. In a population of 1000 people, 100 people purchased the product this month. How many will purchase the product a next month and b in 2 months?In a village out of 200 people it was found that 55 people are infected from Malaria, 72 people are infected from Dengue and 80 people are infected from Typhoid. 20 people are infected from Malaria and Typhoid, 30 people are infected from Malaria and Dengue, 35 people are infected from Dengue and Typhoid and 11are infected from all of these.Find the number of peoplea) Who are infected from at least one of the three disease?b) Who are infected from exactly one of disease?c) Who are not infected from any disease?How is the hatching of water python eggs influenced by the temperature of the snake's nest? Researchers placed 104104 newly laid eggs in a hot environment, 5656 in a neutral environment, and 2727 in a cold environment. Hot duplicates the warmth provided by the mother python. Neutral and cold are cooler as when the mother is absent. The results: 7575 of the hot eggs hatched, along with 3838 of the neutral eggs and 1616 of the cold eggs.26 Make a two‑way table of "environment temperature" against "hatched or not." Fill in the values ?-?�-� in the answer boxes provided. Give your answers as whole numbers. Temperature Cold Neutral Hot Hatched ? ? ? Did not hatch ? ? ? ? =
- In a top business school, 60% of its students are female, and 40% are male. All of them have totake a core module, Business Analytics. Although there are quite a number of students who like themodule, there are also quite a number who dislike it. The remaining students are indifferent to it.A study found that 40% of the female students dislike the module. Only 25% of male students dislikeit. Moreover, only 10% of students are indifferent to it. Interestingly, equal numbers of male andfemale students are indifferent to it, among all students. Given that a student who like Businessanalytics, what is the probability that this student is a male student?A popular gambling game called keno, first introduced in China over 2000 years ago, is played in many casinos. In keno, there are 80 balls numbered from 1 to 80. The casino randomly chooses 20 balls from the 80 balls. These are "lucky balls" because if a gambler chooses some of the numbers on these balls, there is a possibility of winning money. The amount that is won depends on the number of lucky numbers the gambler has selected. The number of ways in which a casino can choose 20 balls from 80 is C(80, 20) = 80! 20! · 60! ≈ 3,535,000,000,000,000,000. Once the casino chooses the 20 lucky balls, the remaining 60 balls are unlucky for the gambler. A gambler who chooses 5 numbers will have from 0 to 5 lucky numbers.Let's consider the case in which 2 of the 5 numbers chosen by the gambler are lucky numbers. Because 5 numbers were chosen, there must be 3 unlucky numbers among the 5 numbers. The number of ways of choosing 2 lucky numbers from 20 lucky numbers is C(20, 2). The…n a population of 100,000 people, 40,000 are infected with a virus. After a person becomes infected and then recovers, the person is immune (cannot become infected again). Of the people who are infected, 3% will die each year and the others will recover. Of the people who have never been infected, 40% will become infected each year. How many people will be infected in 4 years?
- In a survey of 80 PLM students, 35 were playing League of Legends, 45 were playing Mobile Legends, 30 were playing DOTA 2, 23 were playing both League of Legends and Mobile Legends, 20 were playing both Mobile Legends and DOTA 2, 18 were playing League of Legends and DOTA 2, 12 were playing all the game. How many students were not playing all this 3 games?A particular two-player game starts with a pile of diamonds and a pile of rubies. Onyour turn, you can take any number of diamonds, or any number of rubies, or an equalnumber of each. You must take at least one gem on each of your turns. Whoever takesthe last gem wins the game. For example, in a game that starts with 5 diamonds and10 rubies, a game could look like: you take 2 diamonds, then your opponent takes 7rubies, then you take 3 diamonds and 3 rubies to win the game.You get to choose the starting number of diamonds and rubies, and whether you gofirst or second. Find all starting configurations (including who goes first) with 8 gemswhere you are guaranteed to win. If you have to let your opponent go first, what arethe starting configurations of gems where you are guaranteed to win? If you can’t findall such configurations, describe the ones you do find and any patterns you see.A student claims that he can correctly identify whether a person is a business major or an agriculture major by the way the person dresses. Suppose in actuality that if someone is a business major, he can correctly identify that person as a business major 87% of the time. When a person is an agriculture major, the student will incorrectly identify that person as a business major 16% of the time. Presented with one person and asked to identify the major of this person (who is either a business or an agriculture major), he considers this to be a hypothesis test with the null hypothesis being that the person is a business major and the alternative that the person is an agriculture major. What would be a Type I error? Saying that the person is a business major when in fact the person is an agriculture major. Saying that the person is an agriculture major when in fact the person is an agriculture major. Saying that the person is an agriculture major when in…
- An analysis of first-year students at a college revealed that 1/5 of the first-year women were from homes where both parents were professionals. Of these, 3/4 were interested in the same profession as one or both of their parents. If this latter group is made up of 15 students, how many first-year women are there?In a certain card game, for every 4 blue cards, there are 3 yellow cards. There are a total of 84 blue and yellow cards in the game.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.