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is number that can be binary system, decimal system, hexadecimal system.
2. For each of the following pairs of sets, determine if they are disjoint, equal, one is a proper subset of the other, or none of the above. Provide evidence for your answer (i) Q×Z and R×Z (ii) R−ZandQ (iii) {−x|x∈Z}andZ (iv) {x^2 |x∈Z}andZ

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b is number that can be binary system, decimal system, hexadecimal system.
2. For each of the following pairs of sets, determine if they are disjoint, equal, one is a proper subset of the other, or none of the above. Provide evidence for your answer
(i) Q×Z and R×Z
(ii) R−ZandQ
(iii) {−x|x∈Z}andZ
(iv) {x^2 |x∈Z}andZ

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set of observations x1, x2,...,xn, with mean ¯x, then:
Xn
i=1
(xi x¯) > 0.
ii. For two independent events A and B such that P(A) > 0 and P(B) > 0,
then:
P(A [ B) < P(A) + P(B).
iii. For a random variable X, E(X2) can be less than (E(X))2.
iv. Rejecting a true null hypothesis is known as the power of a test.
v. A 4-by-2 contingency table which results in a 2 test statistic value of
6.724 is statistically significant at the 5% significance level.

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4.Question: What are the possible values of a and b so that the equation 6+a=b is true? Explain your ...

reasoning.
Response: Possible values for a in this problem would be a-6. Possible values for b can be any number both positive or negative.
Is the argument sound or flawed? Explain why you believe it is sound or flawed.

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5.(a) A 20.0 L container at 303 K holds a mixture of two gases with a total pressure of 5.00 ...

here are 2.00 mol of Gas A in the mixture, how many moles of Gas B are present? (R = 0.0821 L • atm/(K • mol))
(b) The gas in a 250. mL piston experiences a change in pressure from 1.00 atm to 2.80 atm. What is the new volume (in mL) assuming the moles of gas and temperature are held constant?
(c) Small quantities of Oxygen can be produced by the decomposition of mercury(II) oxide as shown below. Typically, the oxygen gas is bubbled through water for collection and becomes saturated with water vapor. Atomic weight of HgO = 216.6 amu, Atomic weight of Oxygen = 32.00 amu)
2 HgO(s) → 2 Hg(ℓ) + O₂(g)
(i) Assuming that 3.05 grams of HgO was used in this reaction, determine the number of moles of oxygen gas formed.(According to the above chemical equation)
(ii) Assuming 310. 0 mL of Oxygen gas was collected at at 29°C, calculate the pressure of the Oxygen gas that was collected. (R = 0.0821 L • atm/(K • mol)
(iii) If the vapor pressure of water at this temperature equals to 0.042 atm, calculate the pressure reading of this experiment.

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6.Let A and B be two sets, with B being a larger set. Let n be the cardinality of A, ...

be the cardinality of B, so m = |B|. As B is larger, n < m.
What can we say about the cardinality of:
_________ ≤ |A ∪ B| ≤ _________
_________ ≤ |A \ B| ≤ _________
_________ ≤ |A × B| ≤ _________
_________ ≤ |(A × B) \ (A × A)| ≤ _________
_________ ≤ |(A ∪ B) × (B \ A)| ≤ _________
_________ ≤ |(A ∪ B) × (A \ B)| ≤ _________

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7.Let a = sin b, 0 < b < pi/2. Find, in terms of b, the solutions of sin 2x = ...

So far I just tried to do the obvious and substitute -a for - sin b. Like so;
sin 2x = - sin b
which then becomes;
sin 2x = sin -b
and then I can remove the sines and rearrange for x, which gives me this.
2x = -b
x = -b/2
However, if I were to look at the domain of b. Any value within the domain will give a value that doesn't fit the domain of x. Any suggestions would be great. Thank you!

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on a subsample of weekly data from Randall’s Supermarket, one of the biggest in the UK. Randall’s marketing management team wishes to identify trends and patterns in a sample of weekly data collected for a number of their loyalty cardholders during a 26-week period. The data includes information on the customers’ gender, age, shopping frequency per week and shopping basket price. Randall’s operates two different types of stores (convenient stores and superstores) but they also sell to customers via an online shopping platform. The collected data are from all three different types of stores. Finally, the data provides information on the consistency of the customer’s shopping basket regarding the type of products purchased. These can vary from value products, to brand as well as the supermarket’s own high-quality product series Randall’s Top. As a business analyst you are required to analyse those data, make any necessary modifications in order to determine whether for any single customer it is possible to predict the value of their shopping basket.
Randall’s marketing management team is only interested in identifying whether the spending of the potential customer will fall in one of three possible groups including:
• Low spender (shopping basket value of £25 or less)
• Medium Spender (shopping basket value between £25.01 and £70) and
• High spenders (shopping basket greater than £70)
For the purpose of your analysis you are provided with the data set Randall’s.xls. You have to decide, which method is appropriate to apply for the problem under consideration and undertake the necessary analysis. Once you have completed this analysis, write a report for the Randall’s marketing management team summarising your findings but also describing all necessary steps undertaken in the analysis. The manager is a competent business analyst himself/herself so the report can include technical terms, although you should not exceed five pages. Screenshots and supporting materials can be included in the appendix.
Requirements
After completing your analysis, you should submit a report that consists of two parts. Part A being a non-technical summary of your findings and Part B a detailed report of the analysis undertaken with more details.
Part A: A short report for the Head of Randall’s Marketing Management (20 per cent). This should briefly explain the aim of the project, a clear summary and justification of the methods considered as well as an overview of the results.
Although, the Head of Randall’s Marketing Management team who will receive this summary is a competent business analytics practitioner, the majority of the other team members have little knowledge of statistical modelling and want to know nothing about the technical and statistical underpinning of the techniques used in this analysis. This report should be no more than two sides of A4 including graphs, tables, etc. In this report you should include all the objectives of this analysis, summary of data and results as well as your recommendations (if any).
Part B: A technical report on the various stages of the analysis (80 per cent).
The analysis should be carried out using the range of analytics tools discussed:
• SPSS Statistics
Ensure that the exercise references:
• Binary and multinomial logistic regression
• Linear vs Logistic regression
• Logit Model with odds Ratio
• Co-efficients and Chi Squared
• MLR co-efficients
• Assessing usefulness of MLR model
• Interpreting a model
• Assessing over-all model fit with Psuedo R-Squared measures
• Classification accuracy (Hit Ratio)
• Wald Statistic
• Odd ratio exp(B)
• Ratio of the probability of an event happening vs not happening
• Ratio of the odds after a unit change in the predictor to the original odds
• Assumptions
• Residuals analysis
• Cook’s distance
• DfBeta
• Adequacy (with variance inflation factor VIF and tolerance statistic)
• Outliers and influential points cannot just be removed. We need to check them (typo? – unusual data?)
• Check for multicollinearity
• Parsimony
Write a short and concise report to explain the technical detail of what you have done for each step of the analysis.
The report should also cover the following information:
• Any type of analysis that might be useful and check whether the main assumptions behind the analyses do not hold or cannot be
• Give evidence of the understanding of the statistical tools that you are using. For example, comment on the model selection procedure and the coefficient interpretation, e.g. comment on the interpretation of the logistic regression coefficients if such a method is used and provide an example of
• Conclusions and explanation, in non-technical terms, of the main points

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inefficiencies, etc), and suggest an improved process. Open and read the Process Improvement (Final Q 1)
document which describes the process steps in words and also includes a process map as a visual tool for understanding what's going on in each step. You will need to respond to the following three sub-questions:
FINAL Q1: 3 Attachments are the Q1
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I need the 3 part question answered. This is everything in the question.. Understand that there is NOTHING INCOMPLETE, I have added everything that was sent to us.
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a. Of the 9 process steps in the Process Improvement (Final Q 1) document, which specific steps in that process are experiencing lean wastes and/or process cycle time issues (please note, there is more than one step experiencing issues). In your response, name the process step, and/or the transfer interface between steps, and what waste(s) or cycle time issue is involved. Be sure to use standard lean/six sigma terminology that we used in the course when referring to any of the quality concepts; e.g., transportation waste when referring to situations involving a lot of moving around from one place to another.
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b. Which of the process steps you identified in part a do you believe could benefit from process improvement and why?
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c. What changes would you institute in the process to improve the steps you cited in part b of this question and describe how those changes improves the process. Be specific about which process step(s) your improving and thoroughly describe the improvement to that step. [Note: This question ties to what you decided was important in part b question above.] Also, when answering how you would improve a given process step, assume you have an unlimited budget and personnel resources and you can do mostly anything you want as long as it doesn't violate the laws of physics or the judicial system. Be cautious though because process improvement is designed to save time, money, and resources in doing the needed work.For example, automation is good, and also potentially expensive, so is it worth it for the improvement? - you will have to be the judge of that.

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de by credit card; you think this is true at your store as well. On a typical day you make 20 sales.
Show that this situation can be modeled by a binomial distribution. For credit, you must discuss each of the criteria required for a binomial experiment.
Define the random variable x in this scenario, using the context of the problem.
List all possible values of x for this situation.
On one trial for this scenario, what does “success” mean? Explain using the words of the problem.
What is the probability of success in this scenario?
What is the probability of failure in this scenario?
Probability Distribution Instructions¬¬¬¬
In Excel, create a probability distribution for this scenario.
Label Column A as “x” and Column B as “P(x).”
In Column A, list the numbers 0 to 15.
In Column B, use BINOM.DIST.RANGE to calculate the probability for each x value.
Highlight the probability cells, then right click and select Format Cells. Format the probability cells as “Number” and have Excel show 4 decimal places.
Create a probability histogram using the probabilities you calculated. Format and label it properly. Be sure to use the “Select Data” button to change the x-axis so it correctly lists the x-values.

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11.Hi there, I've been struggling with the problem for quite a while and i have not been able to find ...

formula online to help.. It should be a simple straightforward problem but i just can not for the life of me figure it out. are you able to provide me with a formula or point me in the right direction?
The problem is:
Solution A has a 50% concentration
Solution B has a 100% concentration
Solution C has a 5% concentration
you have 5L of each solution to utilize as well as unlimited quantities of water to dilute solution concentrations if needed.
Part A
Make a final solution of 100ml with solution concentrations of Solution A 15%, solution C 5% and solution C 80%. how much of each solution will you need to make your final 100ml solution?
Part B
using the above solutions how many 100ml final solutions can you produce with the 5L volumes?
No matter how I work it i can't make the solution to the correct concentrations.
Thank you for your help.
John

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12.Hi there, I've been struggling with the problem for quite a while and i have not been able to find ...

formula online to help.. It should be a simple straightforward problem but i just can not for the life of me figure it out. are you able to provide me with a formula or point me in the right direction?
The problem is:
Solution A has a 50% concentration
Solution B has a 100% concentration
Solution C has a 5% concentration
you have 5L of each solution to utilize as well as unlimited quantities of water to dilute solution concentrations if needed.
Part A
Make a final solution of 100ml with solution concentrations of Solution A 15%, solution C 5% and solution C 80%. how much of each solution will you need to make your final 100ml solution?
Part B
using the above solutions how many 100ml final solutions can you produce with the 5L volumes?
No matter how I work it i can't make the solution to the correct concentrations.
Thank you for your help.
John

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achine B. The nature of the machines makes their cost functions differ.
Total cost is given by C(x,y)equalsUpper C left parenthesis x right parenthesisplusUpper C left parenthesis y right parenthesis. How many units should be made on each machine in order to minimize total costs if xplusyequals19 comma 740 units are required?
The minimum total cost is achieved when
___ units are produced on machine A and
___ units are produced on machine B

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ie,
A union B is equal to A complement intersection B complement the whole complement.

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15.a bus driver drives from A to B, and truck driver drives from B to A. Both vehicles leave ...

me time and can meet after 9 hours. Then they continued to drive for another 3 hours. At this time, the bus was 420 kilometers away from destination, and the truck was 300 kilometers away from destination.
Question A, how far apart were the two places?
Question B. what was the speeds of both the drivers?

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swer, that is not related to other answer(s)
- Multiple choice question with 1 answer, that is slightly related to some of the other answers
- Multiple choice question with 1 answer, that is highly related to some of the other answers
- Multiple choice question with multiple answers, that are not related
- Multiple choice question with multiple answers, that are slightly related
- Multiple choice question with multiple answers, that are highly related
... Respondent A then provides a level of significance to the question from 0-5
Respondent B then answers the same question and significance level.
Then, I'm looking to correlate the responses, with significance level, from respondent A & B.
I can provide additional material to clarify the equation further, with examples. Thanks in advance!

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e in the
Euclidean plane. In this exercise, we will show this is not true in the Poincar´e plane. As usual, let Γ be the unit
circle in R2
, and let O be the origin. Let A = (3/4, 0) and B = (0, 3/4). Consider the P-triangle △OAB. Let
γ be the E-circle through O, A, and B. Show that γ contains points outside of Γ and is therefore not a P-circle.
Explain why this means that the P-triangle △OAB cannot have a circumscribed circle in the Poincar´e plane.

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et loans (he doesn't "earn" income). With the loans (L) he needs to decide between first period consumption (C1) and investment (I). The amount invested will allow him to get a second period income Y with probability P which is increasing in I (therefore, P(I)), In case of success and the person obtain Y, the individual should use Y to repay the loan (L) that he requested in the first period and consume in the second period (C2). However, with probability 1 - P(I), the person don't get Y and therefore only consume C1. Note that if the individual only invest the loan (L=I) and don't obtain Y, he can't consume anything. That motivates him not to invest the whole loan and keep part of the loan in order to warrant at least first period consumption. Therefore, considering B the parameter for the time preference, the problem would be:
max U=ln(C1) + Bln(C2)
s.t: L = I + C1
Y(I) = L(1+r) + C2
with Probability P(I)
or
s.t: L = I + C1
with probability 1 - P(I)
My question is, Have you ever seen something like this? If yes, how to proceed? What is more important, I really need a bibliography (a book or article talking about this)

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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics