Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The four quantum numbers, the principal quantum number (n), the angular momentum quantum number (ℓ), the magnetic quantum number (mℓ), and the spin quantum number (ms) have strict rules which govern the possible values. Identify allowable combinations of quantum numbers for an electron. Select all that apply. n = 6, ℓ= 6, mℓ= 0, ms= 1/2 n = 2, ℓ= 1, mℓ= –1, ms= 0 n = 3, ℓ= –1, mℓ= 0, ms= –1/2 n = 3, ℓ= 0, mℓ= 0, ms= –1/2 n = 4, ℓ= 2, mℓ= 3, ms= –1/2 n = 5, ℓ= 2, mℓ= 0, ms= –1/2

As a keen financial analyst, Nick Milla has recorded the following annual historical returns on Lynard Ltd. shares over the last four years:

Year 1 = (-8%), Year 2 = (3%), Year 3 = (16%), Year 4 = (5%).

Required:

In relation to Lynard Ltd. shares:

(1) What is the expected return?

(2) What is the standard deviation of returns?

(3) Approximately 90% of the time what would be the extent of the range of returns (highest to lowest) expected on the shares?

Group of answer choices

(1) 8.0%, (2) 144.00%, (3) 20.17%

(1) 4.0%, (2) 9.83%, (3) 32.17%

(1) 10.00%, (2) 96.67%, (3) 16.17%

(1) 10.0%, (2) 12.08%, (3) 28.17%

(1) 4.0%, (2) 9.83%, (3) 28.17%

(1) 8.0%, (2) 12.08%, (3) 32.17%

Part C: Regression and Correlation Analysis

Use the dependent variable (labeled Y) and the independent variables (labeled X1, X2, and X3) in the data file. Use Excel to perform the regression and correlation analysis to answer the following.

Generate a scatterplot for the specified dependent variable (Y) and the X1 independent variable, including the graph of the "best fit" line. Interpret.

Determine the equation of the "best fit" line, which describes the relationship between the dependent variable and the selected independent variable.

Determine the coefficient of correlation. Interpret.

Determine the coefficient of determination. Interpret.

Test the utility of this regression model. Interpret results, including the p-value.

Based on the findings in Steps 1-5, analyze the ability of the independent variable to predict the designated dependent variable.

Compute the confidence interval for β1 (the population slope) using a 95% confidence level. Interpret this interval.

Using an interval, estimate the average for the dependent variable for a selected value of the independent variable. Interpret this interval.

Using an interval, predict the particular value of the dependent variable for a selected value of the independent variable. Interpret this interval.

What can be said about the value of the dependent variable for values of the independent variable that are outside the range of the sample values? Explain.

In an attempt to improve the model, use a multiple regression model to predict the dependent variable .Y, based on all of the independent variables. X1, X2, and X3.

Using Excel, run the multiple regression analysis using the designated dependent and three independent variables. State the equation for this multiple regression model.

Perform the Global Test for Utility (F-Test). Explain the conclusion.

Perform the t-test on each independent variable. Explain the conclusions and clearly state how the analysis should proceed. In particular, which independent variables should be kept and which should be discarded. If any independent variables are to be discarded, re-run the multiple regression, including only the significant independent variables, and summarize results with discussion of analysis.

Is this multiple regression model better than the linear model generated in parts 1-10? Explain. Please use the actual data from below in the analysis.

Problem 12-3:

The following table lists the components needed to assemble an end item, lead times (in weeks), and quantities on hand.

a. If 43 units of the end item are to be assembled, how many additional units of B are needed? (Hint: You don’t need to develop an MRP plan.)

Additional units           

b. An order for the end item is scheduled to be shipped at the start of week 15. What is the latest week that the order can be started and still be ready to ship on time? (Hint: You don’t need to develop an MRP plan.)

The latest week           

Show that to lowest order in correction terms the relativistic (but noncavariant) Hamiltonian for the one-dimensional harmonic oscillator has the form

H = (1/2m)(p^2 + m^2 w^2 q^2) - (1/8)(p^4/m^3 c^2)

and use first order perturbation theory to calculate the lowest-order relativistic correction to the frequency of the harmonic oscillator. Express your result as a fractional change in frequency.

Question 3: Independent or not? For the following four joint probability distributions of X and Y , either prove or disprove that X and Y are independent. 1. fXY (x, y) = λ 2 e −λ(x+y) , x, y ≥ 0. 2. fXY (x, y) = 6 5 x + y 2 , 0 ≤ x, y ≤ 1. 3. fXY (x, y) = 1 9 xy, 0 ≤ x ≤ 3, and 0 ≤ y ≤ 2. 4. fXY (x, y) = 8xy, 0 ≤ x ≤ y ≤ 1.

1. Originally the consumer faces the budget line p1x1 + p2x2 = m. Then the price of good 1 doubles, the price of good 2 becomes 8 times larger, and income becomes 4 times larger. Write down an equation for the new budget line in terms of the original prices and income.

2. What happens to the budget line if the price of good 2 increases, but the price of good 1 and income remain constant?

3. If the price of good 1 doubles and the price of good 2 triples, does the budget line become flatter or steeper?

Thank you!

1.       Design a network of 2 LANs in Router1 and 1 LAN in Router2. Routers are separated by a serial connection.

2.       Use any Class 3 Major Network address and subnet accordingly.

3.       For design purpose, use 3 end devices in each LAN. Assign the last IP address in the last PC.

4.       Utilize any routing protocol.

5.       Create 2 users in router 1.

User 1 – use normal password

User 2- use encrypted password

Both – min length of password should be 6

Task 1:

Which one is more superficial? A or B? Answer:
1. A. Rectus femoris OR B. Sartorius ______
2. A. Gastrocnemius OR B. Soleus ______
3. A. Internal oblique OR B. Rectus abdominis ______
4. A. Flexor digitorum superficialis OR B. Flexor digitorum profundus ______
5. A. Biceps brachii OR B. Brachialis ______
6. A. Pronator teres OR B. Supinator ______
7. A. Masseter OR B. Buccinator ______
8. A. External intercostal OR B. Internal intercostal ______
9. A. Trapezius OR B. Rhomboid minor ______
10. A. Depressor labii inferioris OR B. Mentalis

11. A. Masseter OR B. Medial pterygoid _____

12. A. Sternocleidomastoid OR B. Platysma ______

13. A. Posterior scalene muscles OR B. Trapezius ______
14. A. Trapezius OR B. Omohyoid ______
15. A. Erector spinae OR B. Serratus posterior ______
16. A. Semispinalis capitis OR B. Splenius capitis ______
17. A. Pectoralis major OR B. Pectoralis minor ______
18. A. Serratus anterior OR B. External intercostal ______
19. A. Quadratus femoris OR B. Gluteus maximus ______
20. A. Extensor digitorum longus OR B. Tibialis anterior____

Task 2. – Organizational patterns and shapes of skeletal muscle fibers

Provide an example for each pattern/shape.

1. Circular
__________________________________________________________
2. Unipennate
__________________________________________________________
3. Bipennate
__________________________________________________________
4. Multipennate
__________________________________________________________
5. Parallel
__________________________________________________________
6. Convergent
__________________________________________________________
7. Fusiform
__________________________________________________________
8. “Triangular”
__________________________________________________________
9. Trapezoid
__________________________________________________________
10. Diamond-shaped
__________________________________________________________

Task 3. – Naming based on location (body region), action, origin and insertion, size, shape, and orientation of muscle fibers
Provide an example for each naming.
1. Body region
__________________________________________________________
2. Action
__________________________________________________________
3. Size
__________________________________________________________
4. Shape
__________________________________________________________
5. Orientation of fibers
__________________________________________________________

Task 4. – List the muscles of….
1. Facial expression (18): number in parenthesis means the number of muscles I am looking for (order is irrelevant)
1. __________________________________________________________
2. __________________________________________________________
3. __________________________________________________________
4. __________________________________________________________
5. __________________________________________________________
6. __________________________________________________________
7. __________________________________________________________
8. __________________________________________________________
9. __________________________________________________________
10. __________________________________________________________
11. __________________________________________________________
12. __________________________________________________________
13. __________________________________________________________
14. __________________________________________________________
15. __________________________________________________________
16. __________________________________________________________
17. __________________________________________________________
18. __________________________________________________________

The ages of randomly selected passenger cars and taxis were recorded by textbook author Mario Triola when he visited Dublin. Use a 0.05 significance level to test the claim that both personal cars and taxis in Dublin have the same variation in ages.

Car Ages: 4, 0, 8, 11, 14, 3, 4, 4, 3, 5, 8, 3, 3, 7, 4, 6, 6, 1, 8, 2, 15, 11, 4, 1, 6, 1, 8

Taxi Ages: 8, 8, 0, 3, 8, 4, 3, 3, 6, 11, 7, 7, 6, 9, 5, 10, 8, 4, 3, 4

Group of answer choices

A. F = 1.8714, We fail to reject the claim

B. F = 1.8714, We reject the claim

C. F = 2.3937, we fail to reject the claim

D. F = 2.3937, we reject the claim