discrete math 4. Proofs. Please write clearly. If I can't read your handwriting I will not be able tofollow the proof.a. (2) Let n be an integer. Show that if n²is odd, n is odd.b. (2) Show that if n and m are both odd, n + m is even.

The problem is belongs to the classical algebra. we have to prove the first problem by contradiction…

Answered: 4. Proofs. Please write clearly. If I…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Number Gender Exam 1 Exam 2 Exam 3 Homework Lab Number grade Letter grade Z-score Absolute z-score 1 0 61 94 76 94 87 82.4 B 0.18 0.18 2 0 99 97 90 100 89 95 A 1.38 1.38 3 0 64 76 69 88 87 76.8 C -0.36 0.36 4 0 77 82 86 98 94 87.4 B 0.66 0.66 5 0 70 89 81 93 97 86 B 0.52 0.52 6 0 67 62 65 60 90 68.8 D -1.13 1.13 7 0 87 83 81 85 68 80.8 B 0.02 0.02 8 0 74 88 65 49 90 73.2 C -0.71 0.71 9 0 91 97 87 81 94 90 A 0.90 0.90 10 0 94 87 77 90 67 83 B 0.23 0.23 11 0 47 72 54 59 63 59 F -2.07 2.07 12 0 81 64 78 84 73 76 C -0.44 0.44 13 0 87 90 81 93 80 86.2 B 0.54 0.54 14 0 96 100 84 97 84 92.2 A 1.12 1.12 15 0 80 76 90 85 85 83.2 B 0.25 0.25 16 0 64 51 69 74 78 67.2 D -1.28 1.28 17 0 70 86 84 77 75 78.4 C -0.21 0.21 18 0 80 93 98 95 98 92.8 A 1.17 1.17 19 0 88 83 83 90 84 85.6 B 0.48 0.48 20 0 52 46 62 70 59 57.8 F -2.19 2.19 21 0 97 83 83 85 98 89.2 B 0.83 0.83 22 1 80 74 90 83 65 78.4 C -0.21 0.21 23 1 86 81 72 85 97 84.2 B 0.35 0.35 24 1 88 99…
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Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at Allergy Institute did a study to determine the effects of washing the oil off within 5 minutes of exposure. A random sample of 1000 people with known allergies to poison ivy participated in the study. Oil from the poison ivy plant was rubbed on a patch of skin. For 500 of the subjects, it was washed off within 5 minutes. For the other 500 subjects, the oil was washed off after 5 minutes. The results are summarized in the following table. Reaction Within 5 Minutes After 5 Minutes Row Total NoneMildStrong 4025543 64323113 466378156 Column Total 500 500 1000 Let's use the following notation for the various events: W = washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.) (d) P(N and…
ideo Lec e so oxtra Pra Jorkshe ee sc A medical researcher says that less than 72% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 600 Fables (fo adults in that country, 68% think that healthy children should be required to be vaccinated. At a = 0.10, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. e sc Assignme (a) ldentify the claim and state Ho and H. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) Gradeboc e sc Email O A. Less than % of adults in the country think that healthy children should be required to be vaccinated. O B. More than % of adults in the country think that healthy children should be required to be vaccinated. еТеxt OC. % of adults in the country think that healthy children should be required to be vaccinated. Accessibl Resource O…
Class: Numerical Methods Textbook: Numerical Analysis 10th Ed by Burden and Faires Topic: Round-off Errors and Computer Arithmetic (Sec 1.2) 3) Two calculations for the true values A (ATRUE = 1,100) and B (BTRUE = 1,000,100) yield the approximate values AAPPROX = 1,000 and BAPPROX = 1,000,000. The approximate values are both off by 100, therefore these values are equally accurate. Does this conclusion make sense? Why or why not? 4) For a 4-digit decimal machine numbers (with exponents in the range -6 ≤ n ≤ 6), find Largest possible number = ________________________ Smallest possible positive number = _____________________
I need help with the part B-1 of this question
Clocking the Cheetah. The cheetah (Acinonyx jubatus)isthe fastest land mammal and is highly specialized to run down prey. The cheetah often exceeds speeds of 60 mph and, according to the online document “Cheetah Conservation in Southern Africa” (Trade&Envi-ronment Database (TED) Case Studies, Vol. 8, No. 2) by J. Urbaniak, the cheetah is capable of speeds up to 72 mph. The WeissStats site contains the top speeds, in miles per hour, for a sample of 35 chee-tahs. Use the technology of your choice to do the following tasks. a. Find a 95% confidence interval for the mean top speed, μ,ofall cheetahs. Assume that the population standard deviation of top speeds is 3.2 mph. d. Comment on the advisability of using the z-interval procedure on these data.
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4. Proofs. Please write clearly. If I can't read your handwriting I will not be able to follow the proof. a. (2) Let n be an integer. Show that if n'is odd, n is odd. b. (2) Show that if n and m are both odd, n + m is even.