For S and S' in standard configuration, the Galilean transformations are:

x' = x - vt, y' = y, z' = z, t' = t

From the Lorentz transformations for v << c:

x' = x - vt, y' = y, z' = z, t' = t - vx/c^2

So it looks as if the Galilean transformations become increasingly accurate for:

vx -> 0, v << c

And exact for v = 0 for all x.

Yet, all text books I've come across state that the Galilean transformatons become more accurate for the condition v << c only.

So what are the conditions under which the Galilean transformations become more accurate and why?

A 3.0 m length of wire is made by welding the end of a 100 cm long silver wire to the end of a 200 cm long copper wire . Each piece of wire is 0.80 mm in diameter. The wire is at room temperature, so the resistivities are as given in the table below. A potential difference of 5.0 V is maintained between the ends of the 3.0 m composite wire.

(a) What is the current in the copper section?. A

(b) What is the current in the silver section? A

(c) What is the magnitude of vector E in the copper? V/m

(d) What is the magnitude of vector E in the silver? V/m

(e) What is the potential difference between the ends of the sliver section of wire? V

The velocity of an enzymatic reaction (expressed in nmoles x liter-1 x min-1 ) for different concentrations of substrate (S, expressed in moles x liter–1 )) are summarized in the following table.

1. The Hanes-Woolf plot represents [S]/v (y axis) versus [S] (x axis). Rearrange the Lineweaver-Burk to determine the linear equation for the Hanes-Woolf plot (y = ax + b, with y= [S]/v and x = [S]). What do the intercepts with the [S]/v and the [S] axis, and the slope of the straight line represent? (For example in the Lineweaver-Burk plot, the intercept of the straight line and the y-axis represent 1/Vmax) (6 pts)

2. The Woolf-Augustinsson-Hofstee plot represents v versus v/[S]. Rearrange the HenriMichaelis-Menten equation to determine the linear equation for the Woolf-AugustinssonHofstee plot. What do the intercepts with the v and the v/[S] axis, and the slope of the straight line represent? (6 pts)

3. Compare the numerical values of Km and Vmax calculated from each plot. (3 pts)

What would have to be changed in the code if the while statement were changed to:

while (menu == 5);

Code is as follows

1. #include <stdio.h>

2. void printHelp ()

3. {

4. printf ("\n");

5. printf ("a: a(x) = x*x\n");

6. printf ("b: b(x) = x*x*x\n");

7. printf ("c: c(x) = x^2 + 2*x + 7\n");

8. printf ("d: shrink(x) = x/2\n");

9. printf ("q: quit\n");

10. }

11. void a(float x)

12. {

13. float v = x*x;

14. printf (" a(%.2f) = %.2f^2 = %.2f\n", x, x, v);

15. } // end function a

16. void b(float x)

17. {

18. float v = x*x*x;

19. printf (" b(%.2f) = %.2f^3 = %.2f\n", x, x, v);

20. } // end function b

21. void c(float x)

22. {

23. float v = x*x + 2*x + 7;

24. printf (" c(%.2f) = %.2f^2 + 2*%.2f + 7 = %.2f\n",

25. x, x, x, v);

26. } // end function c

27. void shrink(float x){

28. float v = x/2;

29. printf("shrink(%.2f) = %.2f/2 = %.2f\n", x, x, v);

30. }//end of function shrink

31. int menu ()

32. {

33. char selection;

34. float x;

35. printHelp ();

36. scanf ("%s", &selection);

37. if (selection == 'q')

38. return 1;

39. scanf ("%f", &x);

40. if (selection == 'a')

41. a(x);

42. if (selection == 'b')

43. b(x);

44. if (selection == 'c')

45. c(x);

46. if(selection == 'd')

47. shrink(x);

48. return 0;

49. } // end function menu

50. int main()

51. {

52. while (menu() == 0);

53. printf ("... bye ...\n");

54. return 0;

55. } // end main

a professor has learned that six students in her class of 19 will cheat on the exam. She decides to focus her attention on eight randomly chosen students during the exam. A. what is the probability that she finds at least one the students cheating? B. what is the probability that she finds at least one of the students cheating if she focuses on nine randomly chosen students?

1. (a) Suppose that, from 12 students, we want to take a committee of students. How many committees consisting of 4 students can be selected? How many committees consisting of 6 students can be selected?

(b) Suppose we want to select 3 out of 12 students and give them the first and second and third places. Determine the number of possible selections?

Having Questions with my Java program.

We consider a school is the user of this application. A courseApp personnel can use the application do complete the following tasks,

1. Add courses. The courseApp can create courses, i.e., a user can add more than one courses for the courseApp in the application.

2. Add students. The courseApp can enroll students, i.e., a user can add a list of students for the courseApp in the application.

3. Register classes. A user can act as a student (e.g., select a student) and enroll in a list of courses not exceeding 18 credit hours in total.

4. Add instructors. The courseApp can hire instructors, i.e., a user can add instructors in the application.

5. Assign instructors to courses. A course can have one to three instructors who teach or co-teach the course. A user can assign instructors to a course.

6. Display students. The application can display the student list. 7. Display course information. The application can display the course information including minimally course name, credit hours, instructors, and the enrollment of the course.

This is my code for now and I don't know how to add instructors into the program:

===========

CourseApp.java

import java.util.Scanner;
import java.util.ArrayList;

public class CourseApp{

public static void main(String[] args){
//vars
ArrayList<Student> studentList = new ArrayList();
ArrayList<Instructor> instructorList = new ArrayList();
ArrayList<Course> courseList = new arrayList();

System.out.println("Add courses");
addCourses(courseList);
System.out.println("Add students");
addStudents(studentList);
System.out.println("Add instructors");
addInstructors(instructorList);
System.out.println("register for courses");
registerClasses(courseList,studentList);
System.out.println("\nShowing all student data");
for(Student s : student) {
System.out.println(s);
System.out.println("====================");
}
System.out.println("Showing all course details:");
for(Courses c : subjects) {
System.out.println(c);
System.out.println("====================");
}
}

//methods
//adds a course to the courseList
void addCourse(Scanner sc){ //you can change this parameter if you'd like
Scanner sc = new Scanner(System.in);
System.out.println("Enter the number of course: ");
int num = sc.nextInt();
sc.nextLine();
System.out.println("Enter course name and credit hours:");
for(int i=0; i<num;i++) {
String line = sc.nextLine();
String[] data = line.split(" ");
String name = data[0];
double hours = Double.parseDouble(data[1]);
classC.add(new Courses(name, hours));
}
}

//adds a student to the total student roster (studentList)
void addStudent(Scanner sc){ //you can change this paramter if you'd like, as well
Scanner sc = new Scanner(System.in);
System.out.println("Enter the number of student: ");
int num = sc.nextInt();sc.nextLine();
System.out.println("Enter name and id:");
for(int i=0; i<num;i++){
String line = sc.nextLine();
String[] data = line.split(" ");
String name = data[0].trim();
int id = Integer.parseInt(data[1]);
classS.add(new Student(name,id));

}
}

//adds an instructor to the total instructors roster (instructorList)
void addInstructor(Scanner sc){ //you can change this paramter if you'd like, as well

}

//adds a student in the student roster to a course
void registerStudentToCourse(Student student, Course course){
Scanner sc = new Scanner(System.in);
double hrs = 0.0;
ArrayList<Courses> temp = new ArrayList<>();
System.out.println("Enter the student's name: ");
String name = sc.nextLine().trim();
Student p = findStudent( s,name);

if(p!=null) {
System.out.println("Enter number of courses you want to add student: ");
int count = sc.nextInt();
sc.nextLine();
System.out.println("Enter course names: ");
ArrayList<Courses> t = studentOptedCourses(c,count);
p.setRegCourses(t);
}
else {
System.out.println("No student named"+name);
}
}

//attempts to set an instructor in the instructor roster to a course
void setInstructorToCourse(Instructor instructor, Course course){

}

//prints out the names and ID numbers of all the students in the student roster
void listAllStudent(){
for(Student s : student) {
if(s.getStudentName().equals(name)) {
return s;
}
}
return null;
}

//prints out the names of all of the hired instructors in the instructor roster
void listAllInstructors(){

}

//prints out the course name, its credit hours, the names of the students
//enrolled in the input course, and the names of the instructors enrolled
//in the input course.
String getCourseInfo(Course course){
for(Courses c: classC) {
if(c.getCourseName().equals(cname)) {
return c;
}
}
return null;
}
}

=================

Course.java

import java.util.ArrayList;
public class Course{
//vars
String name;
int creditHours;
ArrayList<Student> studentList = new ArrayList();
//The size of the Instructor array is set to three because there can only be a max of 3 instructors per course
Instructor[] instructor = new Instructor[3];
  
Courses(String name, double hrs) {
this.courseName = name;
this.creditHours = hrs;
}
Courses(String name, double hrs, ArrayList<String> teachers) { //what if more than one prof
this(name, hrs);
instructors = new ArrayList<>(teachers);
}
//constructor
public Course(String inputName, int creditHours){
}
//methods
//returns the name of the course
public String getName(){
}
//returns the value of addCreditHours
public int getCreditHours(){
}
//returns a list of students in this form (not set in stone): Adam Sandler, Jacob Righdon, Stephen Greene, and Jacob Nate.
//I wasn't too sure about how I would do this so, if you want to change it, feel free to do so
public String getStudents(){
}
//same as the getStudents class. Feel free to change this
public String getInstructors(){
}
//adds a student to studentList. Should this also add a student's ID to another linked list in this class, in the same index location?
void addStudent(Student student){
}
//adds an instructor to the instructor array. Returns true if there is space for a new instructor, and returns false if not.
boolean addInstructor(Instructor instructor){
}
//the overridden equals method
public boolean equals(Object object){
}
//the overriden hashCode method
public int hashCode(){
}
}

==============

Student.java

public class Student{
//vars
String name;
String studentID;
//totalCreditHours is set to 0 because it can only be added to as of now
int totalCreditHours = 0;
//constructor
public Student(String inputName, int studentID){
}

//methods
//returns the value of the name variable
public String getName(){
}

//returns the value of the studentID variable
public int getStudentID(){
}

//returns the value of the totalCreditHours variable
public int getTotalCreditHours(){
}
//if totalCreditHours will not be greater than 18 if the inputCreditHours was added to totalCreditHours,
//then return true and add inputCreditHours to totalCreditHours. Otherwise, do not add to totalCreditHours, and return false.
public boolean addCreditHours(int inputCreditHours){
}
//the overridden equals method
public boolean equals(Object object){
}
//the overriden hashCode method
public int hashCode(){
}
}

===============

Instructor.java

public class Instructor{
//vars
String name;
//constructor
public Instructor(String name){
}
//methods
//returns the value of name
public String getName(){
}
//the overridden equals method
public boolean equals(Object object){
}
//the overriden hashCode method
public int hashCode(){
}
}

This question has 8 parts. Each of the 8 parts (Part A - Part H) has a dropdown list of possible answers. Choose the best answer from the dropdown list for EACH part of the question below. Open the "Lab Dataset" (HSCI390.sav) you have been using for lab assignments in SPSS. Your analysis will focus on the variable "Weight in pounds" (NQ50).

Researchers are interested in examining how the average weight of students at CSUN compares to the average weight of all people across the United States of 166.2. To examine their research question of interest, they will use data from the sample of CSUN students contained in the HSCI390.sav dataset. Using SPSS for the analysis, you will test whether the population of students at CSUN appear to have a different average weight than the reported average age of people across the US of 166.2, using an alpha level (α) of 0.05. You will use the information above to complete the question parts below for a one sample t-test.

Mean is 152.62, Standard Deviation is 39.164, Standard Error Mean is .654

Part A: Which of the following represents the appropriate null hypothesis (H0), given this research question of interest? PART A ANSWER CHOICES: H0: μ = 166.2, μ = 152.62, µ ≠ 152.62, µ ≠ 166.2

Part B: Which of the following represents the appropriate alternative hypothesis (H1), given this research question of interest? PART B ANSWER CHOICES: H1: μ = 166.2, μ = 152.62, µ ≠ 166.2, µ ≠ 152.62

Part C: What are the degrees of freedom (df) associated with your test? PART C ANSWER CHOICES: 166.2, 3588, 3583, 3584, 3589

Part D: Which of the following represents the appropriate critical values, testing at an alpha level (α) of 0.05? PART D ANSWER CHOICES: -1.960 and 1.960, -2.576 and 2.576, -2.041 and 2.041, -3.291 and 3.291, -3.859 and 3.859

Part E: What is the t-statistic associated with your test? (rounded to the nearest thousandth)? PART E ANSWER CHOICES: 0.372, -7.492, 20.761, 7.492, -20.761

Part F: What is the p-value associated with your test statistic? (rounded to the nearest thousandth) PART F ANSWER CHOICES: 2.131, 0.003, 7.492, 0.000 or <0.001, 2.974

Part G: Given your test results, what is your decision about the null hypothesis? PART G ANSWER CHOICES: Fail to reject (i.e., retain) the null, reject the null

Part H: The best interpretation of the appropriate decision regarding the null hypothesis would be: "Based on our study, we _____ enough evidence to conclude that the population of CSUN students appears to have a different mean weight than the population of all people across the US."

PART H ANSWER CHOICES: have, do not have

30 students were randomly selected from a large group of students taking a certain test. The mean score for the students in the sample was 86.
Assume that σ = 11.1. Construct a 99% confidence interval for the mean score, μ, of all students

A previous semester's set of data from the initial questionnaire results in the following frequency table (some minor adjustments were made).

(a) If the possibilities for eye color are brown (Br), blue (Bl), and other (O), and the possibilities for sleep are at least 8 hours (Y) and less than 8 hours (N), one possible outcome for eye color and sleep after choosing a student is "BrY" (brown eyes and slept at least 8 hours). List one other possible outcome:  

(b) What is the probability of the event "has blue eyes" occurring if a student is chosen at random? State your answer as a fraction (e.g. "3/7")   

(c) What is the probability of someone having brown eyes OR getting +8 hours of sleep? State your answer as a fraction (e.g. "3/7")

(d) In how many ways can you get exactly two people who have <8 hours of sleep?   

(e) Suppose two different students are chosen at random. What is the probability that both students have brown eyes? State your answer to two decimal places.

(f) Suppose one student is chosen at random. What is the probability that the student has an "other" eye color given that they got less than 8 hours of sleep? Give your answer as a fraction (e.g. "3/7").

(g) In how many different ways can you choose 3 different people at random out of the entire group of students? State your answer to two decimal places.