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tanθ = 4/3 , sinθ < 0 So,this is the case of third quadrant. In third quadrant all trigonometric…

Answered: lan &sinc cat Simpily your antiver…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.1: Sets

Problem 39E

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38. Prove or disprove that .
At a certain school 60 of the 100 boys and 60 of the 80 girls signed up for the senior trip. Is there an associa-tion between going on the trip and gender? A) We can’t tell, because the class doesn’t have the samenumber of boys and girls.B) Yes, because the same number of boys and girlssigned up.C) Yes, because a lower percentage of boys signed upthan of girls.D) No, because the people on the trip were 50% boysand 50% girls.E) No, because the sign-up rate was higher among girlsthan among boys.
In a recent study, 50males used a new weight-loss supplement, and 38 of them experienced weight loss after two weeks. In the same study, 20 females used the same supplement, and 16of them experienced weight loss after two weeks.Fill in t he blanks below to make the most reasonable statement possible. The new weight-loss supplement was less effective on ▼(Choose one: males/females) in the study. That is because only ____% of them lost weight after two weeks, whereas ____% of the ▼(Choose one:males/females) lost weight after two weeks.
A library subscribes to two different weekly news magazines, each of which is supposed to arrive in "Wednesday's mail. In actuality, each one may arrive on "Wednesday, Thursday. Friday, or Saturday. Suppose the two arrive independently of one another, and for each one P(Wed.) = .3, P(Thurs.) = .4, P(Fri.) = .2, and P(Sat.) = .1. Let Y= the number of days beyond Wednesday that it takes for both magazines to arrive (so possible Y values are 0, 1, 2, or 3). Compute the pmf of Y.[Hint: There are 16 possible outcomes; Y(W,W) = o, Y(F,Th) = 2. and soon.]
In a study of pain relievers, 20 people were given product A, and all but 5 experienced relief. In the same study, 50 people were given product B, and all but 16 experienced relief. Fill in the blanks below to make the most reasonable statement possible. Product A or B performed worse in the study. That is because ____ % failed to get relief with the product, wheares only ____ % failed to get relief with product A or B
AT&T was running commercials in 1990 aimed at luring back customers whohad switched to one of the other long-distance phone service providers. One suchcommercial shows a businessman trying to reach Phoenix and mistakenly gettingFiji, where a half-naked native on a beach responds incomprehensibly in Polynesian.When asked about this advertisement, AT&T admitted that the portrayed incidentdid not actually take place but added that this was an enactment of something that“could happen.”12 Suppose that one in 200 long-distance telephone calls is misdirected. What is the probability that at least one in five attempted telephone calls reachesthe wrong number? (Assume independence of attempts.)Refer to the information in the previous problem. Given that your longdistance telephone call is misdirected, there is a 2% chance that you will reach a foreign country (such as Fiji). Suppose that I am now going to dial a single long-distancenumber. What is the probability that I will erroneously…
Lambda, Gamma, and Pearson's r are all based on the logic of the Proportionate Reduction of Error. O TrueO False
5Suppose that in the first half of a certain season, Dustin Pedroia of the Boston Red Sox batted .300 while Mike Napoli batted only .275. And further suppose that in the seocnd half, Pedroia batted .250 while Napoli batted only .240. Someone claims that Napoli had a higher batting average for the entire season than Pedroia. Is that possible, or must the claim be rejected outright?
Suppose in a small town there are three places to eat, a Chineserestaurant, a Mexican restaurant, and a pizza place. Everyone in town eats dinnerin one of these places or has dinner at home. Assume that 20% of those who eat inthe Chinese restaurant go to Mexican next time, 20% eat home and 30% go to thepizza place. From those who eat in the Mexican restaurant, 10% go to the pizzaplace, 25% go to the Chinese restaurant, and 25% eats at home next time. Fromthose who eat at the pizza place, 30% eat at home, 30% eat at the Chineserestaurant, and 10% eat at the Mexican restaurant next time. Those who eat athome, 20% go to the Chinese restaurant, 25% go to Mexican restaurant, and 30% tothe pizza place. a. Set us the matrix of transition probabilities and show the transition b. Find the steady state probabilities c. In the long run, which restaurant will have the most customer
Suppose in a small town there are three places to eat, a Chineserestaurant, a Mexican restaurant, and a pizza place. Everyone in town eats dinnerin one of these places or has dinner at home. Assume that 20% of those who eat inthe Chinese restaurant go to Mexican next time, 20% eat home and 30% go to thepizza place. From those who eat in the Mexican restaurant, 10% go to the pizzaplace, 25% go to the Chinese restaurant, and 25% eats at home next time. Fromthose who eat at the pizza place, 30% eat at home, 30% eat at the Chineserestaurant, and 10% eat at the Mexican restaurant next time. Those who eat athome, 20% go to the Chinese restaurant, 25% go to Mexican restaurant, and 30% tothe pizza place. a. Set us the matrix of transition probabilities and show the transition diagram b. Find the steady state probabilities c. In the long run, which restaurant will have the most customer
A friend who lives in Los Angeles makes frequent consultingtrips to Washington, D.C.; 50% of the time shetravels on airline #1, 30% of the time on airline #2, and the remaining 20% of the time on airline #3. For airline#1, flights are late into D.C. 30% of the time and late intoL.A. 10% of the time. For airline #2, these percentagesare 25% and 20%, whereas for airline #3 the percentagesare 40% and 25%. If we learn that on a particular trip shearrived late at exactly one of the two destinations, whatare the posterior probabilities of having flown on airlines#1, #2, and #3? Assume that the chance of a late arrival inL.A. is unaffected by what happens on the flight to D.C.[Hint: From the tip of each first-generation branch on atree diagram, draw three second-generation brancheslabeled, respectively, 0 late, 1 late, and 2 late.]
The television show Degenerate Housewives has been successful for many years. That show recently had ashare of 24, meaning that among the TV sets in use, 24% were tuned to Degenerate Housewives. Assumethat an advertiser wants to verify that 24% share value by conducting its own survey, and a pilot surveybegins with 14 households have TV sets in use at the time of a Degenerate Housewives broadcast.(a) Find P(none)(b) Find P(at least one)(c) Find P(at most one)

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