Exhibit: Checking Accounts.

A bank has kept records of the checking balances of its customers and determined that the average daily balance of its customers is $300 with a standard deviation of $56. A random sample of 200 checking accounts is selected. You are interested in calculating the following probabilities below.

For all answers below, do not round intermediate steps if any and round your final solution to 4 decimal places.

(1)Assuming that the population of the checking account balances is normally distributed, what is the probability that a randomly selected account has a balance of more than $305?

(2)What is the probability that the mean balance for the selected sample is above $295?

(3)What is the probability that the mean balance for the selected sample is between $302 and $304?

Another one:

A biology class with 114 students recently had an exam. The mean exam score was 82 and the standard deviation of the exam score was 12.

(1)What is the probability that a random sample of 37 exams has an average score below 84?

I need to prove this with some sort of counting...

Suppose there are some number of people in a room and we need need to consider all possible pairwise combinations of those people to compare their birthdays and look for matches.

An Auditor for a government agency is assigned the task ofevaluating reimbursement for office visits to physicians paid byMedicare. The audit is conducted on a sample of 75 of thereimbursements with the follwing results: In 12 of the office visits, an incorrect amount ofreimbursement was provided. The Amount of reimbursement was mean = $93.70 andS=$34.55 a) At the 0.05 level of significance, is there evidence thatthe mean reimbursement is less than $100? b)At the 0.05 level of significance, is there evidence thatthe proportion of incorrect reimbursements in the population isgreater than 0.10? c) Discuss the underlying assumptions of the test used in(a) d) What is yur answer to (a) if the sample mean equals$90? e) What is your answer to (b) if 15 office visits hadincorrect reimbursements?  

1 TB = x MB, where x is:

Select one:

a. 1024

b. 1,000,000

c. 1024 * 1024

d. 1024 * 1024 * 1024

IDENTIFY THE COMMONALITIES AS WELL AS THE DIFFERENCES BETWEEN MARKETING DOMESTICALLY AND MARKETING INTERNATIONALLY.

The data shows process completion times in hours of a manufacturing plant prior to and after a scheduled routine maintenance operation:

A.) Evaluate the assumption of normality of the datasets

B.) State and test the hypothesis of equal variance in the test populations

C.) State and test the hypothesis that the maintenance operation has any effect on the processing time

The density of liquid methanol, CH3OH (FM=34.05), is 0.791g/mL at 77 degrees F. What is this same temperature in K, and how many methanol molecules will occupy a cubic container, 1mm on each side?

1 What are 5 major Strengths of the Patient Protection and Affordable Care Act?

2 What are 5 major Weaknesses of the Patient Protection and Affordable Care Act?

3. What are 5 major Opportunities of the Patient Protection and Affordable Care Act?

4. What are 5 major Threats of the Patient Protection and Affordable Care Act?

In a routine atomic absorption spectrometry determination of metal ions in blood), an analyst needs to obtain the blood-level concentration of lithium in patients taking lithium carbonate, Li₂CO₃, as a treatment for mental disorders. What specific type of light source is required for the AAS analysis of the lithium content of the blood samples?

The following information pertains to the York Company for the year ending December
31, 2019.

$ Hours
Revenue 240,000
Interest Revenue 50,000
Raw materials used 40,000
Indirect Labour 4,000
Indirect Materials 9,000
Utilities [factory] 4,500
Depreciation of factory equipment 10,000
Depreciation of factory buildings 19,000
Depreciation of admin buildings 5,000
Marketing costs 30,000
Wages [Store] 10,000
Utilities [store] 6,000
Supplies [store] 3,500
Direct Labour Hours 2000
Hourly Rate for direct labour 10
Finished Goods Inventory Jan 1 2019 7,000
Finished Goods Inventory Dec 31 2019 15,000
Bond Payable 65,000
Interest Rate 10%
Tax rate 22%

REQUIRED
1. Prepare a budgeted COGS statement
2. Prepare a projected income statement

A healthy, fully functioning brain is key in the learning process. Please discuss how the hindbrain, midbrain, and forebrain work together to help promote learning. Please also discuss at least 1 brain injury or disease and the potential issues that could arise as a result.

The longer the answer the better. This is an essay question. No copy pasted answers, please.

IDENTIFY THREE MAIN LEGAL SYSTEMS OF IMPORTANCE TO INTERNATIONAL BUSINESS. COMPARE AND CONTRAST THE THREE MAIN LEGAL SYSTEMS IN DETAIL.

0. Introduction.

In this lab assignment, you will extend some simple Java classes that represent plane figures from elementary geometry. The object of this assignment is not to do anything useful, but rather to demonstrate how methods can be inherited by extending classes.

1. Theory.

A polygon is a closed plane figure with three or more sides, all of which are line segments. The perimeter of a polygon is the sum of the lengths of its sides. A rectangle is a polygon with exactly four sides that meet at 90° angles. Like a polygon, it has a perimeter. It also has an area, the product of its base and height. A square is a rectangle whose sides are all the same length. Like a rectangle, it has a perimeter and an area.
      Polygons, rectangles, and squares make up an is-a hierarchy. The hierarchy gets its name because a square is-a rectangle, and a rectangle is-a polygon. Is-a hierarchies can be easily modeled by Java classes using the extends keyword.

2. Implementation.

The following is the source code for a Java class whose instances represent polygons. The file Polygon.java on Canvas contains a copy of this source code. You will need it to complete the laboratory assignment.

class Polygon
{
  private int[] sideLengths;

  public Polygon(int sides, int ... lengths)
  {
    int index = 0;
    sideLengths = new int[sides];
    for (int length: lengths)
    {
      sideLengths[index] = length;
      index += 1;
    }
  }

  public int side(int number)
  {
    return sideLengths[number];
  }

  public int perimeter()
  {
    int total = 0;
    for (int index = 0; index < sideLengths.length; index += 1)
    {
      total += side(index);
    }
    return total;
  }
}

The class Polygon uses a private array called sideLengths to store the lengths of a polygon’s sides. The array’s length, sideLengths.length, is the number of sides that the polygon has. The class Polygon also has a has a public constructor and two public methods. To keep things simple, they do not check their arguments for correctness, as they would if Polygon was part of a real program.
      The constructor takes four or more arguments and returns an instance of Polygon that represents a polygon. The first argument is the number of sides that the polygon has. The remaining arguments are the lengths of those sides. For example, the Java statement:

Polygon triangle = new Polygon(3, 3, 4, 5);

declares the variable triangle and sets it to an instance of Polygon that represents a triangle (because the first argument says it has 3 sides). The lengths of the triangle’s sides are 3, 4, and 5.
      The three dots ‘...’ in the constructor mean that it can take zero or more extra integer arguments after its first argument. The for-loop with the colon visits the extra arguments one at a time. Don’t worry if those parts of Java are unfamiliar. You don’t have to know how the constructor works, only how to call it.
      The method side returns the length of a polygon’s side. Sides are numbered starting from 0. For example, the expression triangle.side(0) returns 3, the expression triangle.side(1) returns 4, and the expression triangle.side(2) returns 5.
      The method perimeter returns a polygon’s perimeter, the sum of the lengths of its sides. For example, the expression triangle.perimeter() returns 3 + 4 + 5 = 12.
      For this assignment, you must write a class called Rectangle. As its name suggests, each instance of Rectangle must represent a rectangle. Along with a constructor, Rectangle must provide two methods, called area and perimeter. The method area must return the integer area of the rectangle, and the method perimeter must return the integer perimeter of the rectangle.
      You must also write another class, called Square. As its name suggests, each instance of Square must represent a square. Along with a constructor, Square must provide two methods, called area and perimeter. The method area must return the integer area of the square, and the method perimeter must return the integer perimeter of the square.
      The following driver program shows examples of how the constructors and methods of Rectangle and Square must work.

class Shapes
{
  public static void main(String[] args)
  {
    Rectangle wreck = new Rectangle(3, 5);  //  Make a 3 × 5 rectangle.
    System.out.println(wreck.area());       //  Print its area, 15.
    System.out.println(wreck.perimeter());  //  Print its perimeter, 16.

    Square nerd = new Square(7);            //  Make a 7 × 7 square.
    System.out.println(nerd.area());        //  Print its area, 49.
    System.out.println(nerd.perimeter()     //  Print its perimeter, 28.
  }
}

Your classes Rectangle and Square must use the extends keyword, so they will inherit methods from other classes. Also, each class must inherit as many of its methods as possible from those other classes. YOU WILL LOSE POINTS FOR DEFINING A METHOD INSIDE A CLASS, IF IT COULD HAVE BEEN INHERITED FROM ANOTHER CLASS!
      Here’s a hint about how to write the constructors for Rectangle and Square. Suppose that a class Triangle extends the class Polygon. Then Polygon is the superclass of Triangle. The keyword super can be used to call the constructor that belongs to a superclass. For example, Triangle’s constructor, which takes the lengths of a triangle’s three sides, might look like this.

public Triangle(int a, int b, int c)
{
  super(3, a, b, c);
}

It uses Polygon’s constructor to make a polygon with 3 sides, whose lengths are a, b, and c. If super is used in this way, then it must be the first statement in the constructor. You don’t have to write Triangle—this was only an example!

3. Deliverables.

The file tests6.java contains a driver class whose a main method performs 12 public tests, worth 1 point each. Each public test is a call to println, along with a comment that shows what it must print. To grade your work, the TA’s will run the public tests using your Rectangle and Square classes. If a public test behaves exactly as it should, then you will receive 1 point for it.
      In addition, the TA’s will do 5 private tests on your Rectangle and Square classes. You will not be told what the private tests are, but they are worth 2 points each, and they determine if Rectangle and Square have inherited as many methods as possible. The TA’s will do the same private tests for all students, and these tests will be made public only after all the work for this lab has been graded.
      Your score for this lab is the sum of the points you get for the public tests, and the points you get for the private tests, for a maximum of 22 points. Here is what you must turn in.

1. Source code for the class Rectangle. Its instances must provide the methods side, area and perimeter. These methods are not necessarily defined in Rectangle: some or all may be inherited.

2. Source code for the class Square. Its instances must provide the methods side, area and perimeter. These methods are not necessarily defined in Square: some or all may be inherited.

In an air standard diesel cycle, the conditions of the air at the start of the compression stroke are 2 bar and 30℃. The pressure rises to 30bar after compression, and through combustion, 1200 kJ of energy is added per kg air. Calculate

1. Compression ratio
2. Cutoff ratio
3. Mean effective pressure
4. Temperature and pressure at the end of each process
5. work done per kg air
6. Thermal efficiency of the cycle

IDENTIFY AND EXPLAIN FULLY ANY 3 COMPONENTS OF CULTURE AND THEIR IMPORTANCE TO INTERNATIONAL BUSINESS PROFESSIONALS.