In a red box, there are 4 vanilla ice-cream and 8 chocolate ice-cream whereas in a blue box, there are 3 vanilla and 3 chocolate ice-cream. An ice-cream is randomly chosen from the red box and put into the blue box, and an ice-cream is then randomly selected from the blue box.

a) what is the probability that the ice-cream selected from blue box is a vanilla ice-cream

b)what is the conditional probability that the transferred one was chocolate ice-cream, given that a vanilla ice-cream is selected from the blue box

Scenario 1:

Upon entering the classroom you notice two small glass tanks on the table. One of them contains many active crustaceans (Daphnia) swimming around. The other tank is cloudy and it appears as though all of the Daphnia are dead! You also notice a half-empty bottle of glucose in the trashcan. Your mission is to figure out what happened and why.

You have at your disposal the following items:
   Microscope, slides, coverslips, etc.
   Biuret and Benedict’s reagents and the necessary equipment to perform these tests

1.   What are your observations?

2.   Could there be something in the water that killed the Daphnia? What could that something be?

3.   Formulate a hypothesis as to what you think might be in the “death” tank based simply on the few observations you have at the moment.

4.   What experiment would you perform to test your hypothesis?

5.   Let’s assume the results of your experiment support your hypothesis. (Check with instructor, then proceed.) State the results of your experiment.

6.   Given that your hypothesis is supported, propose an explanation as to why the Daphnia died in terms of osmosis, diffusion, tonicity and the effects of hyper/hypo-tonic solutions on living cells.

List the four steps of the scientific method and describe what you did in the above scenario as it relates to each of those steps.

Scenario 2:

1.   You are walking through the woods when you discover a small twitching blob. You think it might be alive so you bring it to class. Unfortunately by the time you get to class, it is no longer twitching. Your instructor decides to let you dissect it. When you cut the blob open you see a round mass of tissue in the center of the blob so you cut into it. You make a slide from that tissue and look at it under the microscope. What you see is a confusing mass of cells. It appears as though the cells have branches. Within the cell body you see a single nucleus. What do you think this tissue/cell type might be? And what would its function be?

2.   Next you remove a piece of some very tough tissue. Under the microscope you see linear strands of fibers that appear to have striations in them. You wonder what would happen if you applied an electric current to this tissue in the blob. Your instructor gets an electrode and applies a mild electric current. The tissue twitches! What type of tissue do you think this is? What is its function?

3.   With all of this cutting, the blob begins to leak. You examine the fluid under the microscope and see many individual cells all with a nucleus. What type of cells do you think these are? Which other animal cell type do these cells resemble?

Scenario 3:

It’s twenty past the hour and you are late to biology lab. When you arrive, you find your classmates gathered outside the door and the Professor is nowhere to be found. You then notice that everyone is hovered around some spatters of red liquid inside the doorway. Has your professor been injured? You’d better find out.

What are your observations?

What are some hypotheses you could make about the situation based on your observations?

You and your classmates decide to examine the red liquid to find out exactly what it is. Your initial thought is to see what you can find under the microscope. You first need to prepare your slide. What would you need and how would you do this?

After you get the slide on the microscope all you see is darkness. What might be the problem?

Describe how you would manipulate the microscope to first center your specimen and then focus in on your image.

After some adjustments, you are able to focus on some tiny oval shaped structures. Each contains a purple stained dot in the center. As you scan around you also see some smaller, rounder structures that are also stained purple. Could this be the blood of you missing Professor or is there no cause for alarm?

Scenario 4:

Your pet dog has a stomach ache. The veterinarian, in order to help determine the cause of the ache, will attempt to identify the contents of its stomach. What tests could the vet perform and what results might you expect him/her to find?

Scenario 5:

You return from a bathroom break during your lab class on diffusion and osmosis, having just drank half a bottle of water. You return to find that your water has been moved and your lab partners are looking your way, pointing to the bottle, and snickering. You then catch a glimpse of an empty salt packet on the table. Are your lab partners trying to be funny? How would you determine whether or not they had poured the salt in your water without drinking it?

The budget director says, “In the worst case, we cannot do anything about the cost of living adjustment, the stock market tanks, and we earn very little—say 3 percent. Productivity goes to zero and other factors remain the same. That is the ‘worst case.’ How bad would that be?”

How would you explain this worst case scenario? What do this mean?

Now that you have a general idea about the banking system and Federal Reserve, let’s apply this information to your own financial performance. Your journal topic this week: Discuss your banking experiences. What has been challenging when it comes to banking? Is it surprising? Does your bank offer additional services, such as online banking, financial planning, or budgeting tools? Explain.

Your journal entry must be at least 200 words in length. No references or citations are necessary.

How can you relate what you have learned in Anatomy and Physiology about the integumentary system (skin) to your daily life?

This writing should contain how something you learned in class affected or impacted your life or understanding of science and health-related matters.

Explain how your new knowledge changed the outcome of your understanding of this event. It cannot be just a story, make sure to provide detailed anatomy and/or physiology to make your point

1. The National Assessment of Educational Progress (NAEP) is an assessment of student learning that involves samples of students from every state. Scores are reported in four performance categories: Below Basic, Basic, Proficient, and Advanced. A researcher wanted to know if there was a relationship between state of residence and performance on NAEP. The researcher obtained the following data from the NAEP website. (You do not have to do follow up procedure.)
   

Use the chi-square test to determine if there is relationship between state of residence and NAEP performance level? Write a short summary of your results. Be sure to include the appropriate statistical evidence: test statistic used, degrees of freedom, value of the test statistic, and test statistic critical value. Use α = .05.

Predetermined Overhead Rate, Application of Overhead to Jobs, Job Cost

On April 1, Sangvikar Company had the following balances in its inventory accounts:

Work-in-process inventory is made up of three jobs with the following costs:

During April, Sangvikar experienced the transactions listed below.

1. Materials purchased on account, $28,670.
2. Materials requisitioned: Job 114, $16,270; Job 115, $12,370; and Job 116, $5,000.
3. Job tickets were collected and summarized: Job 114, 160 hours at $11 per hour; Job 115, 220 hours at $14 per hour; and Job 116, 70 hours at $19 per hour.
4. Overhead is applied on the basis of direct labor cost.
5. Actual overhead was $4,280.
6. Job 115 was completed and transferred to the finished goods warehouse.
7. Job 115 was shipped, and the customer was billed for 125 percent of the cost.

Required: (Can you please show detail calculations for solution for the answer)

1. Calculate the predetermined overhead rate based on direct labor cost.

% of direct labor cost

2. Calculate the ending balance for each job as of April 30. When required, round your answers to the nearest dollar. Use your rounded answers in subsequent computations, if necessary.

3. Calculate the ending balance of Work in Process as of April 30. When required, round your answer to the nearest dollar. (Can you please show detail calculations for solution for the answer)

$ _________

4. Calculate the cost of goods sold for April. When required, round your answer to the nearest dollar. (Can you please show detail calculations for solution)

$ __________

5. Assuming that Sangvikar prices its jobs at cost plus 25 percent, calculate the price of the one job that was sold during April. Round to the nearest dollar. (Can you please show detail calculations for solution)

$________

Use the IS-LM model to predict the SR effects of each of the following shocks on income, the interest rate, unemployment, consumption, and investment. For each case, state how the economy moves from one point in the business cycle to another.

A) After the invention of a new high speed computer chip, many firms decide to upgrade their computer systems. Explain what the central bank should do to keep income at its full employment level.

B) A best- seller titled Retire Rich convinces the public to increase the percentage of thier income devoted to saving. Explain what the Government should do to keep income at full employment level.

C) In the above cases, the economy goes back to its full employment. Do you notice any difference in the final equilibrium between the two cases?

(Please answer all parts. Show graph)

In elementary quantum mechanics, the square well is used to model the behavior of a bound particle in which one or more forces (external potentials, interaction with other particles, etc) prevent or restrict its ability to move about. We have seen in class that the solutions to the Schrodinger equation in and around the quantum well result in a series of eigenvector wavefunctions with distinct energy levels. In this assignment, we will use MATLAB to create the system and experiment with different dimensions and barriers.

In MATLAB, model the finite square well scenario by building the Hamiltonian matrix and using the "eig" function to solve for the eigenvectors and eigenvalues. Experiment with potential barrier values of 500eV and 1000eV, and plot the resulting waveforms superimposed over the square well. What were the confined-state energy levels? What physical significance do the eigenvalues and eigenvectors have? Do some research on the Kronig-Penney model, in which a repeating series of finite square wells is used to model the behavior of particles within a crystalline material, and discuss the significance. What is different about the behavior of electrons in a single atom versus that in a solid material?