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

Section: Chapter Questions

Problem 1RQ

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A. B & C
appropiate diegrom. ate diags am. appropi * Using Using the table belowse draw an Nomber of students Marks obtained O-10 6 10-20 12 20-30 30-40 18 40-50 11 60-70 6. 80-100 3.
Car Weight (lbs) Miles per Gallon 3,765 Car 1 19 Car 2 3,964 17 Car 3 3,470 21 Car 4 3,175 22 Car 5 2,580 27 Car 6 3,730 18 Car 7 2,605 26 Car 8 3,772 17 3,310 Car 9 20 Car 10 2,991 25 Car 11 2,752 26 An engineer wanted to determine how the weight of a car affects gas mileage. The accompanying data represent the weights of various domestic cars and their gas mileages in the city for a certain model year. Suppose that we add Car 12 to the original data. Car 12 weighs 3 comma 3053,305 pounds and gets 1919 miles per gallon a) Compute the linear correlation coefficient with Car 12 included. The linear correlation coefficient with Car 12 included is r-? (Round to three decimal places as needed.) b) Recompute the linear correlation coefficient with Car 13 included. How did this new value affect your result? The linear correlation coefficient with Car 13 included is r-? t) Why does this observation not follow the pattern of the data?
Atotal of 2462 American adults responded to a survey about their income class and their general health level. The table to the right summarizes their responses. Answer parts (a) through (e). Middle Income Income Class versus General Health Level Health in General Excellent Good Poor 225 582 274 1081 Upper Income Total 57 203 424 144 771 485 1305 672 2462 299 Lower Income Total 254 610 a. What proportion of the lower-income adults have excellent health? (Type an integer or decimal rounded to three decimal places as needed.) b. What proportion of the middle-income adults have excellent health? (Type an integer or decimal rounded to three decimal places as needed.) c. What proportion of the upper-income adults have excellent health? (Type an integer or decimal rounded to three decimal places as needed.) d.On the basis of finding the results for parts (a). (b), and (c), a student concludes that an increase in inconme causes an inerease in health. Describe two problems with the student'sl-…
Please do not give solution in image format thanku QUESTION 3 Mission Hotel has an average of 80 customers per hours arrive the front desk waiting check-in. They usually have 5 to 7 clerk attending customer, but to make it simple, let say that at present hay have 5 clerks. Statistic has shown that on average clerk takes 3.2 min/customer and they can earn $12/hour. Mission Hotel considers a waiting cost of $25 for each hour a customer is waiting in line. Calculate the probability P(j≥s) A-0.42 B-0.65 C-0.76 D-0.88
Statistical power can be defined as: a. rejecting H0 when it is false b. failing to reject H0 when it is false c. rejecting H0 when it is true d. failing to reject H0 when it is true
Could you please answer letters d and e? Thank you.
132,000 189,000 270,000 324,800 269,000 340,000 222,000 135,000 169,900 310,000 142,900 86,000 285,000 235,000 425,000 o= sx= n=
7
Find out some merits and demerits of seasonal variation? Find out some merits and demerits of cyclical variation? Find out some merits and demerits of irregular variation?
CHI SQUARE TEST IS CALCULATED BY LOOKING AT THE DIFFERENCE BETWEEN THE DATA YOU OBSERVE AND THE DATA IS EXPECTED? A)TRUE B)FALSE THE CHI SQUARE TEST CAN BE USED T O LOOK AT THE ASSOCIATION BETWEEN TWO SCALES VARIABLES? A) TRUE B) FALSE
Can you please check my work

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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.