For n 2, let have n-dimensional normal distribution MN( , ). For any 1 m < n , let 1 denote the vector consisting of the last n-m coordinates of .
a) Find the mean vector and the variance-covariance matrix of 1.
b) Show that 1 is a (n-m) dimensional normal random vector.
For n 2, let have n-dimensional normal distribution MN( , ). For any 1 m < n , let 1 denote the vector consisting of the last n-m coordinates of .
a) Find the mean vector and the variance-covariance matrix of 1.
b) Show that 1 is a (n-m) dimensional normal random vector.
Could you please solve and provide detailed explanations on how to solve this? Thank you!
For n = 6 data points, the following quantities have been calculated. Σx = 40, Σy = 76, Σxy = 400, = 346, =1160, = 52.334,.
When you construct the 95% confidence interval for the mean of y when x = 9.0, determine the upper limit of the confidence interval . (round to 3rd decimal point)
For n ≥ 1 let Gn be the simple graph with vertex set V (Gn) = {1, 2, . . . , n}in which two different vertices i and j are adjacent whenever j is a multiple of i or i isa multiple of j. For what n is Gn planar?
For our discussion this week, let’s consider further the role that benefits play in recruiting. Put yourself in the role of your organization’s recruiter, what benefits might you use to attract the generation of workers (under 45 years of age)? How do the benefits differ from those that you might use to attract workers who belong to the baby boom generation?
Remember that this is a discussion; therefore, you don’t need to include references. However, if you conduct research to support your content in the forums, you must use proper citations in the content. The citations and references must be listed according to APA standards.<o:p>
Remember that this is a discussion; therefore, you don’t need to include references. However, if you conduct research to support your content in the forums, you must use proper citations in the content. The citations and references must be listed according to APA standards.<o:p> Our goal is to try to define elements that need to be considered when establishing HR planning and job analysis for organizations. In your initial response, identify one benefit and how you might use to attract Generation X and Y employees or Baby Boomers. Be sure your contribution adds to the discussion and does not merely repeat information posted by another student.
For or From AGI Deductions. Roberta is an accountant employed by a local firm. Duringthe year, Roberta incurs the following unreimbursed expenses:Travel to client locations $750Subscriptions to professional journals 215Taking potential clients to lunch 400Photocopying 60a. Identify which of these expenses are deductible and the amount that is deductible.Indicate whether they are deductible for or from AGI.b. Would the answers to Part a change if the accounting firm reimburses Roberta forthese expenses?c. Assume all of the same facts as in Part a, except that Roberta is self-employed. Identifywhich of the expenses are deductible, and indicate whether they are deductions for or from AGI.
For numbers 1 – 15, journalize the transaction using the “Review Journals” spreadsheet. On the same spreadsheet, tell if each transaction will affect any of the following statements: the Statement of Net Assets, the Statement of Activities, the Fund Balance Sheet, Statement of Revenues, and Expenditures & Changes in Fund Balance. 1. Record the approved budget for the general fund for fiscal year 2011 (approved on February 28) using the following: Revenues – Taxes: (Only 95% of taxes is deemed collectible) Real Property $1,500,000 Sales $700,000 Interest and Penalties on Taxes $6,000 Intergovernmental Revenue $280,000 Charges for Services $192,000 Total Estimated Revenues $2,678,000 Appropriations – General Government $ 1,100,000 Public Safety: Police $550,000 Fire $550,000 Building Safety $175,000 Public Works $800,000 Health and Welfare $650,000 Parks and Recreation $500,000 Total Appropriations $3,225,000 Other Financial Uses – $50,000 2. 3/1/2011 – Enter into contract to purchase salt for snow clearance for Public Works. Purchase order for $800,000 3. 4/25/2011 – Purchase three police cars at $25,000 each 4. 5/16/2011 – Received $550,000 of salt and invoice 5. 6/1/2011 – Received approval for bond issuance of $2,500,000 to purchase land and build a new playground. General taxes will be used to retire the debt. Bonds will not be issued until September 1 (annual interest rate on bonds is 5%). 6. 6/30-2011 – Paid for $550,000 for salt 7. 7/15/2011 – Received remaining salt at $225,000 8. 7/30/200 – Paid $225,000 for salt. 9. 8/1/2011 – Received the following revenues: Real Property $650,000 Sales $80,000 Interest and Penalties on Taxes $1,000 Intergovernmental Revenue $120,000 (80,000 from federal grant and 40,000 from state grant) Charges for Services $80,000 10. 9/1/2011 – Received $2,400,000 on bond issue with a face value of $2,500,000. Principal payment of $250,000 is due 9/1 annually and Interest payments are due semiannually on 9/1 and 3/1 of every year. The proceeds were used to purchase land for $100,000 and enter into a construction contract for 2,000,000. 11. 10/5/2011 – $50,000 is moved from General fund to an internal service fund. 12. 10/31/2011 – Purchased building safety materials and supplies for $175,000. Assume invoice and payment occurred on date of purchase. 13. 11/1/2011 – Entered into lease to own agreement for equipment used for Public Safety. The lease payments are $5,000 annually for 10 years. The first payment was due 11/1/2011. Assume a 10% interest rate and the fair value amount of the property is 32,000. 14. 12/31/2011 – Perform closing entries for the following only: Appropriations for Public Works (salt purchase), accrued interest on bonds, and accrued interest on capital lease (if applicable). It was also determined that $6,000 of Sales Tax is delinquent. Record journal entry to reclassify asset 15. 1/1/2012 – Create the debt service fund (including budget) to make principal and interest payments for the 2011 $2,500,000 bond issuance.
Discussion 1
Discussion 2
Week 2 Prompt Option #4: Finding the Argument Form
One of the ways that we can determine whether a deductive argument is valid or not is based on its logical form. The first step in being able to make this determination is to be able to determine the logical form of the argument. This discussion allows you to get practice determining the logical form of various arguments. Once you get the hang of it, you might even find that discovering argument forms is fun.
Prepare: To prepare to respond to this question, read the required sections from Chapter 3 and Chapter 4, paying special attention to those sections that explain categorical argument forms (in Chapter 3) and propositional argument forms (in Chapter 4).
Reflect: Choose an argument from the list below. To find the argument’s form, leave in the logical terms in the argument and replace the other terms with variables. In the categorical examples, the logical terms are ‘all’, ‘no’, ‘some’, ‘only’, and ‘not’, and the variables are letters like A, B, and C.
Here is an example of finding the form of a categorical argument: Take the argument, “Some dogs are brown. Only brown things are mammals. Therefore, Some dogs are mammals.” What we do is replace the non-logical terms with variables (capital letters). We can use ‘D’ for dogs, ‘B’ for brown things, and ‘M’ for mammals. The result, in standard form, is that the argument has the form:
Some Ds are B.
Only B are M.
Therefore, Some D are M.
In the propositional examples, the logical terms are ‘and’, ‘or’, ‘not’, ‘if … then’, ‘only if’ and ‘if and only if’, and the variables, letters like P, Q, and R, represent the simplest component sentences. You may use the following simplified symbols: The symbol for ‘and’ is ‘&’, the symbol for ‘or’ is ‘v’, the symbol for ‘not’ is ‘~’, the symbol for ‘if … then …’ is ‘–>’, and the symbol for ‘if and only if’ is <–>’ (Don’t forget to use parentheses to clarify the grouping in complex statements).
Here is a propositional example: Take the argument, “If you don’t like cabbage, then you should eat the peas. You like the cabbage, so you should not eat the peas.” We’ll use the letter ‘C’ for the sentence “You like cabbage” and the letter ‘P’ for “You should eat the peas.” The result, in standard form, is:
~C –> P
~C
Therefore, ~P
Write: Choose an argument from the list below. Make sure not to pick one that someone else has used. Paste the argument at the beginning of your post, then use standard form to present its logical form, as with the examples above. Make sure to provide a key indicating what each letter symbolizes. Next, provide a brief discussion of whether the argument form is valid and why. If it is valid, try to explain why the conclusion must be true provided that the premises are. If it is not valid, try to explain how it would be possible for the premises to be true and the conclusion false.
Categorical Syllogisms:
Propositional Arguments:
For polymerization of styrene in tetrahydrofuran at 25C using sodium naphthalide as initiator, the rate constant for propagation is 550 dm3mol-1s-1. If the initial mass concentration of styrene is 156 g dm-3 and that of sodium naphthalide is3.02 x 10-2 g dm-3, calculate the initial rate of polymeriztion and, for complete conversion of the styrene, the number-average molar mass of the polystyrene formed.Comment upon the expected value of the polydispersity index ( Mw/Mn )
18. For planning purposes, truss manufacturers must try to predict the number of hurricanes that will hit the eastern seaboard of the United States in any given year. If this area is hit with an average of 6 hurricanes per year, find the probability that in a given year…
a) …fewer than 3 hurricanes will hit this area.
b) …between 6 and 8 hurricanes (inclusive) will hit this area.
c) What is the standard deviation of this distribution?
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