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Exercise 14.20. Decide whether the polynomial congruence [ left(x^{3}+3 x+1right) U equiv 1left(bmod x^{4}+1right) ] is solvable in ( mathbb{R}[x] ). If it is, solve it. (Hint: Convert the congruence to an equality involving another unknown polynomial ( V ). Then proceed as you did in the previous exercise.)

Exercise 14.20. Decide whether the polynomial congruence [ left(x^{3}+3 x+1right) U equiv 1left(bmod x^{4}+1right) ] is solvable in ( mathbb{R}[x] ). If it is, solve it. (Hint: Convert the congruence to an equality involving another unknown polynomial ( V ). Then proceed as you did in the previous exercise.)

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Odessa Hotel’s restaurant is open for breakfast, lunch and dinner. The accountants prepared a segmented contribution margin income statement for the past year based on the three meal periods as shown below. The manager is concerned with the lunch period, as it has been showing a loss for the past few years. Odessa Hotel – Restaurant Segmented Contribution

Odessa Hotel’s restaurant is open for breakfast, lunch and
dinner. The accountants prepared a segmented contribution margin
income statement for the past year based on the three meal periods
as shown below. The manager is concerned with the lunch period, as
it has been showing a loss for the past few years.

Odessa Hotel – Restaurant
Segmented Contribution

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5. Suppose now that ( X ) and ( Y ) are not independent, but have the following table of values, where an empty square corresponds to probability ( 0 . ) (a) Fill out the marginal probabilities ( P(X=x) ) and ( P(Y=y) ). (b) Compute ( P(X=5 mid Y=2) ). (c) Compute ( P(X=3 mid Y=2) ). (d) Do you gain more information about ( X ) if you know

5. Suppose now that ( X ) and ( Y ) are not independent, but have the following table of values, where an empty square corresponds to probability ( 0 . ) (a) Fill out the marginal probabilities ( P(X=x) ) and ( P(Y=y) ). (b) Compute ( P(X=5 mid Y=2) ). (c) Compute ( P(X=3 mid Y=2) ). (d) Do you gain more information about ( X ) if you know

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(a) An infinitely large table is covered by non-overlapping circular disks of equal radii. Find the maximum proportion of the table that is covered. (b) (i) Expand ( (k+1)^{3} ) (ii) By summing each side of (b) (i) from ( k=1 ) to ( k=n ), show that [ sum_{k=1}^{n} k^{2}=frac{1}{3} n^{3}+frac{1}{2} n^{2}+frac{1}{6} n ] The diagram below shows

(a) An infinitely large table is covered by non-overlapping circular disks of equal radii. Find the maximum proportion of the table that is covered. (b) (i) Expand ( (k+1)^{3} ) (ii) By summing each side of (b) (i) from ( k=1 ) to ( k=n ), show that [ sum_{k=1}^{n} k^{2}=frac{1}{3} n^{3}+frac{1}{2} n^{2}+frac{1}{6} n ] The diagram below shows

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custom answer please answer all the questions correctly and follow the instructions. And please if you don’t know the answer don’t answer. NB no plagiarism please a) If a DNS domain name of GRBC is compsci.grbc.com.gh, show the students how many labels are involved here. How many levels of hierarchy? Justify your answers by giving

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Problem 2 – Sieve of Eratosthenes A prime number is any integer greater than 1 that’s evenly divisible only by itself and 1. The Sieve of Eratosthenes is a method of finding prime numbers. It operates as follows: a) Create a primitive-type boolean array with all elements initialized to true. Array elements with prime indices will remain true. All other array

Problem 2 – Sieve of Eratosthenes
A prime number is any integer greater than 1 that’s evenly
divisible only by itself and 1. The Sieve of Eratosthenes is a
method of finding prime numbers. It operates as follows:
a) Create a primitive-type boolean
array with all elements initialized to true. Array elements with
prime indices will remain true. All other array

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The values represent: ( y= ) the thrust of a ( mathrm{x}_{1}= ) primary speec ( mathrm{x}_{2}= ) secondary ( mathrm{sp}_{mathbf{2}} ) ( x_{3}= ) fuel flow rate 10. Analysis of residuals a. Construct a normal probability plot of the residuals and interpret this graph. b. Plot the residuals versus the fits (the estimated values of ( y ) ). Are

The values represent: ( y= ) the thrust of a ( mathrm{x}_{1}= ) primary speec ( mathrm{x}_{2}= ) secondary ( mathrm{sp}_{mathbf{2}} ) ( x_{3}= ) fuel flow rate 10. Analysis of residuals a. Construct a normal probability plot of the residuals and interpret this graph. b. Plot the residuals versus the fits (the estimated values of ( y ) ). Are

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custom answer Please help!! Thank you!! 1. Use this data table and graph to analvze this spring. Display Curve Fit Uncertainties  Mass Curve: y=Ax+BA:72.2±10.3cmg​B:2.63±38.8 gRMSE:31.4 gr:0.980​ 3. Compare the value you determined for the spring constant from part 1 to the value you determined from the spring data graph. Which is greater? Do you think the differences are caused

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custom answer i have provided the answer for part (a) please use the result to show the proof (b) Use result from (a) to show that. np(p−1)−1 i=0∑​10i≡0(modp) for all n∈N. Hence, there are infinite many elements from 5 which is divisible by P. 7). (a) Let x=i=0∑p−2​10i(modp). Nohice that {k(p−1),k(p−1)+1,…,(k+1)(p−1)∗−1} has p−1, elementriThuk, i=0∑p−2​10i

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The Canadian Concrete Design Handbook provides the following formula for predicting the modulus of elasticity of reinforced concrete (the American Concrete Institute has a similar formula) [ E_{c}=0.033 gamma_{c}^{1.5} sqrt{f_{c}^{prime}} ] where ( E_{c} ) is the modulus of elasticity in ( operatorname{kips} / mathrm{in}^{2}, gamma_{c} ) is the

The Canadian Concrete Design Handbook provides the following formula for predicting the modulus of elasticity of reinforced concrete (the American Concrete Institute has a similar formula) [ E_{c}=0.033 gamma_{c}^{1.5} sqrt{f_{c}^{prime}} ] where ( E_{c} ) is the modulus of elasticity in ( operatorname{kips} / mathrm{in}^{2}, gamma_{c} ) is the

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custom answer show all workings plsexcel sheet attached 3. A university wants to know what proportion of students are regular bike riders so that they can install an appropriate number of bike racks. The spreadsheet bike. csv contains the result of survey conducted in 20 classes. Here N is a class size and n is

custom answer write a brief overview of a proposed theory. The proposal is on how management affects students performance in UGBS Online Class Handlers: Advanced Math, Advanced Math questions and answers, homework help, Math

custom answer please Help me Instructions: Below are some typical answers students have submitted in the past. Describe the mistake(s) in your own words. What grade (percentage) would you give a student making this mistake? In deciding the grade, consider the following: how ‘big’ is the mistake, how does the mistake compare to the others

An economist wants to determine whether average price/earnings (P/E) ratios differ for firms in three industries. Independent samples of five firms in each industry produced the following results after conducting a one-way ANOVA. SSB (sum of squares between groups) = 258.82 and SST (sum of squares total) = 424.04. Based on this information, what would be the

An economist wants to determine whether average price/earnings
(P/E) ratios differ for firms in three industries. Independent
samples of five firms in each industry produced the following
results after conducting a one-way ANOVA. SSB (sum of squares
between groups) = 258.82 and SST (sum of squares total) = 424.04.
Based on this information, what would be the

A financial security generates a cash flow of $25,000 every five years forever with the first cash flow occurring in 3 years’ time. The appropriate opportunity cost is 12% p.a. compounded annually. What should be the security’s price today?

A financial security generates a cash flow of $25,000 every five
years forever with the first cash flow occurring in 3 years’ time.
The appropriate opportunity cost is 12% p.a. compounded annually.
What should be the security’s price today?