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Q: You are given that sin(A)=8/17, with A in Quadrant II, and cos(B)=−5/13, with B in Quadrant II. Find…
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A: 16) Part A 16) Part B
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Q: Given the equation below. Give what is being asked. 3 3 sin -xcos, xdx a sin ucos udu 8 xpx, Find: a…
A: According to question,Given definite integral,∫04π3 sin638x cos638x dx = αβ∫0γδπ sin6u cos6u du
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A: 5. Let's check with each options one by one.
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A: Solving LHS and comparing to RHS
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- According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in the U.S. in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumers ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a different proportion of identity theft than 23%? Test at 5% level.Jedi Master Astaal Vibum is interested in studying the midi-clorian count in Jedi younglings and how those levels change as they become padawan and ultimately full Jedi knights. To begin the study, Astaal randomly selected 43 Jedi younglings and measured their midi-clorian counts. Measurements will be taken annually until they leave the Jedi order or reach the level of Jedi Master. What is the population of this study?A report by the Gallup Poll stated that on average a woman visits her physician 5.8 times a year. A researcher randomly selects 20 women and obtained onto the data below.
- A poll in June 2020 found that 81% of American parents believe that virtual learning instead of in-person learning widens the equity gap for students. A later poll in October 2020 asked 1081 American parents if they believe virtual learning instead of in-person learning widens the equity gap for students, and found that 822 believe that yes, virtual learning instead of in-person learning widens the equity gap for students. Does this mean that the proportion of American parents, who believe that virtual learning instead of in-person learning widens the equity gap for students, has decreased? Test at the 1% significance level. hypotheses:H0: p ≥ 0.81 HA: p < 0.81Calculate the sample proportion. Round to four decimal places.p̂ = ____Calculate the test statistic. Round to two decimal places.z = ____Find the p-value. Give to four decimal places.p-value = _____A researcher claims that the percentage of voters that favor voting via absentee ballot is 35%. Identify the alternative hypothesis Ha.Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?
- The Consumer Financial Protection Bureau's Consumer Response Team hears directly from consumers about the challenges they face in the marketplace , brings their concerns to the attention of financial institutions , and assists in addressing their complaints . Of the consumers who registered a bank account and service com plaint , 46 % cited " account management , " complaints related to the marketing or management of an account , as their complaint . Source : Consumer Response Annual Report , bit.ly/2x4CN5w . Consider a sample of 20 consumers who registered bank account and service complaints . Use the binomial model to answer the fol lowing questions : a . What is the expected value , or mean , of the binomial distribution ? b . What is the standard deviation of the binomial distribution ? c . What is the probability that 10 of the 20 consumers cited " account management " as the type of complaint ? d . What is the probability that no more than 5 of the consumers cited " account…Kentville, a community of 10,000 people, resides next to a krypton mine, and there is a concern that the emission from the krypton smelter have resulted in adverse effects. Specifically, Kryptonosis seems to have killed 12 of Kentville’s inhabitants last year. A neighboring community, Lanesburg, has 25,000 inhabitants and is far enough from the smelter to not be affected by the emission. In Lanesburg, only three people last year died of Kryptonosis. Given that the number of deaths in Kentville and their causes last year were: Heart attack=7 Accidents=4 Kryptonosis=12 Other=6 What is the risk of dying of Kryptonosis in Kentville relative to non-contaminated locality?What is the risk of dying of Kryptonosis in Kentville relative to deaths due to other causes? How many times the chance of dying of Kryptonosis compared to dying of accidents ? How many times the chance of dying of Kryptonosis compared to Other causes?The bureau of Transportation Statistics reports on-time performance for airlines at major u.S. airports. Jetblue, united, and uS Airways share terminal C at boston’s loganAirport. The percentage of on-time flights reported for August 2012 was 76.8% forJetblue, 71.5% for united, and 82.2% for uS Airways ( bureau of Transportation Statisticswebsite, october 2012). Assume that 30% of the flights arriving at terminal C are Jetblueflights, 32% are united flights, and 38% are uS Airways flights.a. Develop a joint probability table with three rows (the airlines) and two columns (ontime and late).b. An announcement is made that Flight 1382 will be arriving at gate 20 of terminal C.What is the probability that Flight 1382 will arrive on time?
- The bureau of Transportation Statistics reports on-time performance for airlines at major u.S. airports. Jetblue, united, and uS Airways share terminal C at boston’s loganAirport. The percentage of on-time flights reported for August 2012 was 76.8% forJetblue, 71.5% for united, and 82.2% for uS Airways ( bureau of Transportation Statisticswebsite, october 2012). Assume that 30% of the flights arriving at terminal C are Jetblueflights, 32% are united flights, and 38% are uS Airways flights.a. Develop a joint probability table with three rows (the airlines) and two columns (ontime and late).b. An announcement is made that Flight 1382 will be arriving at gate 20 of terminal C.What is the probability that Flight 1382 will arrive on time?c. What is the most likely airline for Flight 1382? What is the probability that Flight 1382is by this airline?The bureau of Transportation Statistics reports on-time performance for airlines at major u.S. airports. Jetblue, united, and uS Airways share terminal C at boston’s loganAirport. The percentage of on-time flights reported for August 2012 was 76.8% forJetblue, 71.5% for united, and 82.2% for uS Airways ( bureau of Transportation Statisticswebsite, october 2012). Assume that 30% of the flights arriving at terminal C are Jetblueflights, 32% are united flights, and 38% are uS Airways flights.a. Develop a joint probability table with three rows (the airlines) and two columns (ontime and late).An educational study to be conducted requires a test score in the middle 60% range. If μ = 100 and σ = 15, Find the highest and lowest acceptable scores that would enable a candidate to participate in the study. Assume the variable is normally distributed.