MATHEMATICS10-QUARTERI-WEEKI5) 8.2.-4.-10,B. Given the general term, determine the indicated term(s) of the sequence.1) a, 2n +12) a,= 9n3) a, 7n-34) aRule5) aC. Read and solve this problem: If the first term of the sequence is 2 and the rule isby multiplying to 3, what is the seventh term?-5n+3first 4 termms:Let's AnalyzeGiven the following situation, identify the general formula for the nth term of thesequence. Be guided with the steps provided in finding the general term of asequence.A. The sequence of the multiples of 7. B. The sequence for which the firstterm is 3 and the succeeding termsare 6 more than the previous term.Step 1:Step 1:(n)term(n)term12 34 nth123 4 nvalueStep 2:valueStep 2.Step 3:Step 3:Condition:Condition:199General Term:General Term:ot's CrsGIT

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Answered: 5) 8.2.-4,-10, B. Given the gener Rule…

Algebra and Trigonometry (6th Edition)

6th Edition

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra

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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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2. A survey states whether a household income (inc) is high or low based on the make of the cars the husband and wife each own. There are 4 car types, dom(h) = dom(w) = {/1234}, the first two being 'cheap' and the last two being 'expensive'. The survey finds that, given their household income, the types of cars owned by a husband and wife are independent ie. wife's car type I husband's car type family income and the following probabilities p(inc = louw) = 0.8, p(wline low)= [0.7 0.30 0", p(wlinc= high) = [0.2 0.1 0.40.3", p(hline = low) = [0.2 0.8 0 0 and p(h|ine = high) = [000.30.7" Compute the marginal p(w,h) and show that whilst hlwine, it is not the case that hLw.
Please explain your reasoning!
9. In a batting cage, a young future slugger is swinging for the cheap seats-counting the number of pitches from one "home run" (in her mind) to the next: for instance, if she counts 4, it means it took her 4 pitches to get her first home run after she hit the last one. For 20 independent "home runs," her counts were: 3, 6, 2, 16, 12, 4, 4, 5, 15, 11, 3, 3, 2, 1, 8, 11, 5, 1, 2, 1. Assuming that these data can be looked upon as a random sample from a geometric population, a) Derive the maximum likelihood estimator for the geometric distribution's parameter 0. b) Estimate the parameter for the population the given sample was drawn from. Interpret your result (this interpretation should include what the pertinent population is for this problem; what, then, the parameter would represent, etc.)
Q. 5 ) An insurance salesman sells policies to 5 men the prob. that a mean will be a live in 30 years is 2/3. Find the prob. that in 30 years : a ) all 5 men , b) at least 3 men , c) only 2 men , d) at least 1 man will be a live ?
6. A researcher wanted to find the effect of a special diet on systolic blood pressures. She selected a sample of seven adults and put them on this dietary plan for 3 months. The following table gives the systolic blood pressures of these seven adults before and after completing the plan. Test the claim that the systolic blood pressure is lower after completing the dietary plan. Before 210 180 195 220 231 199 224 220 183 233 After 193 | 186 186 223
2
12. An eye doctor keeps track of whether people who come in for testing need glasses. When she separates them by eye color, she gets the following: Glasses No Glasses Brown 43 55 Blue 34 19 Can we say that eye color is independent of the need for glasses? (a = .01)
It is claimed that Far Easterners who come to Turkey for holiday purposes spend less foreign currency than those who come from Europe. The expenditures of 9 Far Eastern and 12 European tourists selected are given below. Xiu= 10, 12, 9, 7, 14, 16, 12, 8, 11 (S/day) XiA =10, 17, 16, 9, 18, 12, 17, 24, 7, 12, 19, 19 (S/day) a = 0.05 decide the level of significance?
12. (18 pts) In a survey of 203 professional athletes, it was found that 98 of them owned a convertible, 86 of them owned a giant screen TV, and 98 owned a sporting goods store. 25 owned a convertible and a store, 36 owned a TV and a store, and 51 owned a convertible and a TV. 15 owned all three items. a. How many athletes did not own any of the three items? b. How many owned à convertible and a TV, but not a store? 36 c. How many athletes owned a convertible or a TV? d. How many athletes owned exactly one type of item in the survey? e. How many athletes owned at least one type of item in the survey? f. How many owned a TV or a store, but not a convertible?
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5) 8.2.-4,-10, B. Given the gener Rule term