想請問26題如何做，謝謝

- Ym)-1 YmYm-1...7271. = -1 = 20. Show that (1 2) is not a produ 21. (a) If 7. 12....m are transpositions, show that ( (b) Show that o and 0-1 have the same parity for all o in Sn. (c) Show that o and Tot-1 have the same parity for all o and T in Sn: 33. Show that Antun Sn = A, for all n 2 3 (regard Sm C Sn+1 in the usual way). 23. Leto € Sm, o te. If n 23, show that y € Sn exists such that or + yo. (Hint: If ok=1 with k #1, choose m€ {k,1; and take y = (k m).] 24. If o E Sn, show that o2 = e if and only if o is a product of disjoint transpositions. 25. If n23, show that every even permutation in Sn is a product of 3-cycles. 26. Let y be any cycle of length r. If o e Sn, show that oyo-1 is also a cycle of length r. More precisely, if y = (kı k2 okr). kr) show that oyo-1 = (oki ok2 27. (a) Show that (kı kz ... kr) = (ki kr) (kı kr-1)... (kı k2). k2 = (- (b) Show that each o ESn is a product of the transpositions (1 2), (1 3),...,(1 n). (Hint: Each transposition is such a product by (a) and Exercise 26.] (c) Repeat (b) for the transpositions (1 2), (2 3),..., (n-1 n). (Hint: Use (a) and Exercise 26.) (d) If o= (1 2 3 n), show that each element of Sn is a product of the permutations (1 2), o, and 0-1. (Hint: Use (b) and Exercise 26.] 28. Let o = (1 2 3 ... n) be a cycle of length n > 2. (a) If n = 2k, find the factorization of o2 into disjoint cycles. 9 =

急 求救統計 #6 （可支薪）

6.The National Science Foundation (NSF) sponsored a study on girls participation in informal science, technology, engineering, or mathematics (STEM) programs. The results of the study were published in Cascading Influences: Long-Term Impacts of Informal STEM Experiences for Girls (March 2013). The researchers sampled 174 young women who recently participated in a STEM program. They used a pie chart to describe the geographic location (urban, suburban, or rural) of the STEM programs attended. Of the 174 participants, 107 were in urban areas, 57 in suburban areas, and 10 in rural areas. a. Determine the proportion of STEM participants from urban areas. b.Determine the proportion of STEM participants from suburban areas. c.Determine the proportion of STEM participants from rural areas. d. Multiply each proportion in parts a-c by 360 to determine the pie slice size (in degrees) for each location. e.Use the results, part d, to construct a pie chart for geographic location of STEM participants. f.Interpret the pie slice for urban areas. g.Convert the pie chart into a bar graph. Which, in your opinion, is more informative?

急！求救 #6 8 9 如果需要酬勞可私下談 （ex.$70題）

pie participation in informal 6.The National Science Foundation (NSF) sponsored a study on girls' science, technology, engineering, or mathematics (STEM) programs. The results of the study were published in Cascading Influences: Long-Term Impacts of Informal STEM Experiences for Girls (March 2013). The researchers sampled 174 young women who recently participated in a STEM program. They used a pie chart to describe the geographic location (urban, suburban, or rural) of the STEM programs attended. Of the 174 participants, 107 were in urban areas, 57 in suburban areas, and 10 in rural areas. a.Determine the proportion of STEM participants from urban areas. b.Determine the proportion of STEM participants from suburban areas. c.Determine the proportion of STEM participants from rural areas. d. Multiply each proportion in parts a-c by 360 to determine the pie slice size (in degrees) for each location. e.Use the results, part d, to construct a pie chart for geographic location of STEM participants. f.Interpret the pie slice for urban areas. g.Convert the pie chart into a bar graph. Which, in your opinion, is more informative? 7. All high way bridges in the US are inspected periodically for structural deficiency by the FHWA. Data from the FHWA inspections are compiled into the National Bridge Inventory (NBI). Classify each variable below as quantitative or qualitative. a. Length of maximum span (feet). b. Number of vehicle lanes. c. Toll bridge (yes or no). d. Average daily traffic. e. Condition of deck (good, fair, or poor). f. Bypass or detour length (miles). g. Route type (interstate, U.S., state, county, or city) 8. The NBI data were analyzed and the results made available at the FHWA Web site. Using the FHWA inspection ratings, each of the 608,272 highway bridges in the US was categorized as structural deficient, functionally obsolete, or safe. About 13.5% of the bridges were found to be structural deficient, while 3.5% were functionally obsolete. a. What is the variable of interest to the researchers? b. Is the variable of part a quantitative or qualitative? c. Is the data set analyzed a population or a sample? Explain. d. How did the NBI obtain the data for the study?

第二題的d的積分範圍要怎麼設

6 Kx, lo, 14) 1. (10 points) How many even numbers can be formed from the digits 9, 1,4,5,6, and 9 if each digit can be used only once? 2. (50 points) Let X and Y denote the lengths of life, in years, of two components A and B, respectively, ş! x2 in an electronic system. If the joint density function of these variables is 64 0<x<1-ycl EX,Y) Rx hy 0 < x <1.0<x<1-x: f(x, y) = elsewe jey.301-4)*84f CX74 3 Rxdy * 了 1' Jay You Determine the value k; FED ECX) = 86 x 6xci->)dy cy) 3(1-2) ² (b) Find the marginal distributions, expected values, variances, and covariance of X and Y; dy= 1 (C) Determine whether X and Y are dependent or independent; X(d) Find the probability that the length of life of component A is less than that of component B; X(e) Find the probability that the length of life of component A is greater than one year, given the ar length of life of component B is equal to two year. xcy 1313. (10 points) The probability that a flight departs on time is 0.3; the probability that it arrives on time is 0.3; and the probability that it departs and arrives on time is 0.1. Find the probability that it arrives on time, given that it did not depart on time. ex oin 4. (20 points) The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous random variable with cumulative distribution -8x76 / le = 1- e 11-e dx x ZO; dv=e 0, f(x) = f'(X) = x < 0. 8 e V= 1 84 (a) Find the probability of waiting less than 10 minutes between successive speeders; hind the wyerane waiting time between successiye speeders spotted by a radar unit. 013-0il u=X -8X -81 -8% ge

請問這題這樣寫正確嗎~

19. Length of Calls to the IRS. According to the IRS, taxpayers calling the IRS in 2017 waited 13 minutes on average for an IRS telephone assister to answer. Do callers who use the IRS help line early in the day have a shorter wait? Suppose a sample of 50 callers who placed their calls to the IRS in the first 30 minutes that the line is open during the day have a mean waiting time of 11 minutes before an IRS telephone assister answers. Based on data from past years, you decide that it is reasonable to assume that the standard deviation of waiting times is 8 minutes. Using these sample results, can you conclude that the waiting time for calls placed during the first 30 minutes the IRS help line is open each day is significantly less that the overall mean waiting time of 13 minutes? Use a = .05.

求解答過程

Calculus Quiz 3-1 1. (25%) Determine where the given function 1s increasing and decreasing, and where its graph is concave up and concave down. Find the relative extrema and inflection points, and sketeh the 戰raph of the function. 9 5 x+ 2. (25%) Find the absolute maximum and absolute minimum (if any) 9f the given function on the specified interval._f(x) = 二 守0 3. (25%) Arectangle is inscribed in aright triangle, as shown in the accompanying figure. Ifthe triangle has sides oflength 5, 12, and 13, what are the dimensions ofthe inscribed rectangle of greatest area? 4. (25%) Compute the elasticity of demand for the glven demand function D(p) and determine whether the demand is elastie, inelastic or unit elasticity at the indicated price p.D(p) =一1.3p+ 10;p ==4

求第17題

人 14. Profit The profit 16. 人2/ 2 / Wcd/e Figure for 17 Figure for 18 18. 95 。Volume_AIl edgaes of a cube Pro hom selling x units Of a product ls glven by 2三 510N 0 atarate ot 9 units per dl the prottt when (am) 、 二 4 The sales are Jncreasing ay. Find the rate Of change Of 00 units and (bD)文三 600 unjts, qre expanding at a rate How fast is the volume changing when each edge is (a) 2 centimeters and (b) 10 centimeters? ot 6 centimeters per second, Surface Area_AI edges ofacube are expanding at a Tate of 6 centimeters Per Second. How fast is the surface area changing when each edge is (a) 2 centimeters and (b) 10 centimeters? 。 Boating_A boat is pulled by a winch on a dock, and te winch is 3 meters above the deck of the boat (See figure). The winch pulls_the Tope at arate of 1 meter per second. Find thexspeed 6fthe boat when 5 meters 9t Tope 1S out. What happens to the Speed of the boat as it gets closer and closer to the dock? Shadow Length “Aman 2meters tall walks at arate 0f ].5 meters per second away from a light that is 5 meters aboye the ground (see figure). | (a) When he js 3 meters from the base of the light, at 人 和 生0) what rate js the tip of his shadow moving。 (b) When he js 3 meters from the base of the at what rate js the Jength of his shadow changlng。 Air Traffic_Control An airplane flying at an altitude Of 10 kilometers pasSes directly over aradar 蟬戰品 品 figure). When the airplane is 26 kilometerS away ($ 三 26), 由 卅0 ee 21, 22 23 24 12 店

求解3.79！！

點 Dofq for unilqferqgl cqses 點 Clear Antibiotic 0 1 Total ]| 24 38 02 外 39 2 66 Total 63 65 128 Dofoq for bilqfTerql cgqses 點 Clear Antibiotic 0 1 Total 3轉3 88 99 29 62 Total 70 02 0

求證此公式🙏

止 wedelilne eto beO when Ax 三 0, tthengebecomes acontinuous functlon of Ar. Thus, for a differentiable function we can Wwrlte 了 Ay 二了(2 0 Were 5 文人as Axz 人4 and eis acontinuous function of Ax. Thls property of differentlable tunctlons 1S what enables us to proye he Chain Rule.