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A: Given diameter 34 feet Therefore, Radius =342=17 feet θ=4π3
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A: We will use the formula s=rθwhere s=arc length =314 cmr=radius=34 cmθ=central angle
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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
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A: We will find the size of the angle T of the given triangle in the following step.
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A: Explanation of the answer is as follows
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A: Here we have to find the area of a sector.
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A: We know that if θ is in degree, then length of an arc = θ360×2πr and area of sector = θ360×πr2
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A: radius r= 32/2=16 ft angle=3X180/5=108 degree
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- Given that 39.7% of all possible observations of the variable are less than 19, determine the area under the density curve that lies to the right of 19. Assume that the variable under consideration has a density curve.Suppose the heights of women at a oolege ace approemately Nornaly detrbuted with a mean of 65 inches and a papulaton standard devialon of 1.5 inches. What height is at ine 40 th percendie? include an appropriately labeied sketch of the Nomal curve to support your answer- The ACeh peroentile is inches. (iloutd to one deoimal place as needed.)Suppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 8, x = 114.6, s1 = 5.03, n = 8, y = 129.3, and s2 = 5.38. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) ,
- Suppose the proportion X of surface area in a randomly selected quadrat that is covered by a certain plant has a standard beta distribution with ? = 4 and ? = 2. (a) Compute E(X) and V(X). (Round your answers to four decimal places.) E(X) = V(X) = (b) Compute P(X ≤ 0.3). (Round your answer to four decimal places.)(c) Compute P(0.3 ≤ X ≤ 0.7). (Round your answer to four decimal places.)Given that 33.6% of all possible observations of the variable exceed 8, determine the area under the density curve that lies to the a. right of 8. b. left of 8.Find the indicated z-scores shown in the graph. area=0.0222
- Since the z score for the tallest man is z= __________and the z score for the shortest man is z=___________, the tallest or shortest man had the height that was more extreme. (Round to two decimal places.)A study of the relationship between age and various visual functions (such as acuity and depth perception) reported the following observations on the area of scleral lamina (mm2) from human optic nerve heads: 2.84 2.63 2.76 3.75 2.28 2.64 3.94 4.11 3.80 4.27 3.49 4.51 2.40 3.59 2.72 3.55 3.02 (a) Calculate Σxi and Σxi2. Σxi = ? mm2 Σxi2 = ? mm4 (b) Use the values calculated in part (a) to compute the sample variance s2 and then the sample standard deviation s. (Round your answers to four decimal places.) s2 = ? mm4 s = ? mm2The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ? = 0 in favor of ? ≠ 0 at ? = .05? (Give your answers correct to three decimal places.) Population 10 2.3 1.4 6 2.7 6 1.9 1.7 2.1 6.7 Crime Rate 12.4 6.7 7.8 7.4 8 7 8.9 9.1 8 7.7 (ii) Calculate the critical region. (smaller value) (larger value)
- Given that 28.4% of all possible observations of the variable are less than 11, determine the area under the density curve that lies to the a. left of 11. b. right of 11.calculate d and e with good working outs ...Using the following data on the Observations 10, 13, 4, and 20, confirm that the complete linkage distance between the cluster containing {10, 13} and the cluster containing {4, 20} is 2.577 units as displayed in the dendrogram. If required, round your answers to three decimal places. Do not round intermediate calculations. Distance from Observation 10 and Observation 4: Distance from Observation 10 and Observation 20: Distance from Observation 13 and Observation 4: Distance from Observation 13 and Observation 20: