Computing curve inverse

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Compute the order of the curve defined by y^2 = x^3 + 7x + 25 over the finite field with 47 elements On the curve defined by y^2 + xy = x^3 + x over GF(2^8) compute the inverse of the point (1,1)
On the curve defined by y^2 + y = x^3 + x^2 + x + 1 over the finite field with 701 elements, find a generator and show its order.
On the curve defined by y^2 = x^3 + 4187x + 3814 over finite field of size 6421 compute the sum of the points (3711,373) and (4376,2463). On the elliptic curve defined by y^2 = x^3 + 3361x + 6370 over finite field of size 8461 compute 1001 times the point (1735, 3464).
On the elliptic curve defined by y^2 = x^3 + 1800*x + 1357 over finite field of size 8191, let P1 = (1794, 1318) and P2 = (3514, 409), compute the sum of 13 times P1 plus 28 times P2.

Sample Solution

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A consulting firm was hired to perform a survey

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A consulting firm was hired to perform a survey on people living in New York City. The survey was completed monthly for six months by 445 randomly-selected people in different boroughs. There were a number of items on the survey, but six basic biographical items will be studied for this exercise. The data for the people surveyed in one of these monthly surveys can be found in the Excel file SURVEY. The variables that were used for the basic biographical data are found on the last page of the exercise.

In this exercise, some of the estimation techniques presented in the module will be applied to the New York survey results. You may assume that these respondents represent a simple random sample of all potential respondents within the community and that the population is large enough that application of the finite population correction would not make an appreciable difference in the results.

New York City governmental agency personnel like to have point estimates regarding variables describing the biographical information of the people living within the different boroughs. It is very helpful for them to have some idea regarding the likely accuracy of these estimates as well. Therein lies the benefit of the techniques presented in this module and applied here.

Item A in the description of the data collection instrument lists variables 1–5, which represent the respondent’s general attitude toward each of the five boroughs. Each of these variables has numerically equal distances between the possible responses, and for purposes of analysis, they may be considered to be of the interval scale of measurement.
Determine the point estimate, and then construct the 95% confidence interval for μ1 = the average attitude toward Manhattan.
Repeat part (a) for μ2 through μ5, the average attitudes toward Brooklyn, Queens, The Bronx, and Staten Island, respectively.
Given the breakdown of responses for variable 6 (highest level of education), determine the point estimate, and then construct the 95% confidence interval for p6 = the population proportion of doctoral degrees.
Given the breakdown of responses for variable 7 (marital status of respondent), determine the point estimate, and then construct the 95% confidence interval for p7 = the population proportion in the “single or other” category.
Assume the governmental agencies requested estimates of the mean attitudes towards each borough with a margin of error of 0.05 for each borough. If the governmental agency personnel want to have 95% confidence that the sample means will fall within this margin of error, how large should the sample sizes be for each borough?

Sample Solution

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The consolidation entries

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Assume that a Parent company acquires a 60% interest in its Subsidiary on January 1, 2020. On the date of acquisition, the fair value of the 60% controlling interest was $1,440,000 and the fair value of the 40% noncontrolling interest was $960,000.On January 1, 2020, the book value of net assets equaled $2,400,000 and the fair value of the identifiable net assets equaled the book value of identifiable net assets (i.e. there was no AAP or Goodwill).

Sample Solution

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“Ramen To The Rescue” and “Japan’s Centuries-Old Tradition of Making Soba Noodles

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“Ramen To The Rescue” and “Japan’s Centuries-Old Tradition of Making Soba Noodles,” then answer these questions:

1) It’s amazing how different these two kinds of noodles are even though they both come from Japan. What do you think the key (most important) differences are? These may be differences in how they’re made, how they’re sold/marketed, where they’re eaten, etc.

1 https://www.npr.org/sections/thesalt/2016/08/28/489787912/japans-centuries-old-tradition-of-making-soba-noodles

  1. https://www.npr.org/sections/thesalt/2013/08/16/212671438/ramen-to-the-rescue-how-instant-noodles-fight-global-hunger

2) What similarities do these noodles have? (other than being, you know, noodles!)

3) Have you eaten soba or ramen noodles? What kind(s) of ramen?

Sample Solution

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