The Voltage amplifiers are available with Avoc = 8 V / V,
Rin = 1.8 kΩ, Ro = 850 Ω. With a 12V DC power source, each amplifier
consumes 1.5 mA average current.

a. How many amps do you need to cascade to get so
minus a voltage gain of 1000 with a load resistance of 1.0 kΩ?
b. What is the voltage gain Av obtained? (Answer with an integer number
rounded)
c. For the cascade connection, find the open circuit voltage gain.
(Answer with a rounded integer)
d. If you have a 1.5 mV input, how efficient is the equivalent amplifier?
and. 
e.Find the transconductance of the complete circuit

Given two graphs G = [V ; E] and G0 = [V 0 ; E0 ], and an isomorphism, f : V → V 0 , and making direct use of the formal definition for isomorphism:

(a) Explain why G and G0 must have the same number of vertices.

(b) Explain why G and G0 must have the same number of edges.

(c) Explain why G and G0 must have the same degree sequences.

(d) Given two vertices, u, v ∈ V explain why: u is connected to v → f(u) is connected to f(v)

Note: Problems that ask you to “explain” are asking for responses that can be less formal than problems that ask you to “prove”. Nonetheless, responses need to be sufficiently precise and based on definitions and theorems as given in the text. Explanations should be concise, but care must be taken to ensure that explanations are at an appropriate level of detail and will be clear to the intended reader.

A graph is G is semi-Eulerian if there are distinct vertices u, v ∈ V (G), u =v such
that there is a trail from u to v which goes over every edge of G. The following
sequence of questions is towards a proof of the following:
Theorem 1. A connected graph G is semi-Eulerian (but not Eulerian) if and only
if it has exactly two vertices of odd degree.
Let G be semi-Eulerian with a trail t starting at a vertex u₀ and ending at a vertex
v₀ Let G ⁰ be a graph obtained by adding an edge e₀ joining u₀ and v₀ , so that
G ⁰ − e = G.
(a) Prove that given a semi-Eulerian trail t in G from v₀ to u₀ , it is possible to
construct a Eulerian trail in G₀.
(b) Prove that given an Eulerian trail in G 0 it is possible to construct a semi-Eulerian
trail in G.
(c) Prove Theorem 1.

Let the function c(v) model the gas consumption (in liters/km) of a car going at velocity v (in kilometers/hour). In other words, c(v) tells you how many liters of gas the car uses to go 1 km, if it is going at velocity v.

You find that (80) 0.04 and '(80) 0.0004

1. Let the function d(v) model the distance the same car goes on 1 L of gas at velocity v.

a. Express the relationship between c(v) and d(v) in an equation. [4 pts]

b. Find d(80) and d’(80). (Hint: Find the general d’(v) first.) [4 pts]

c. Interpret your result for d’(80) in a sentence. (That is, “When the car is travelling at 80 kph ….” ) [4 pts] (Even if you couldn’t get part b, you can still tell me what d’(80) means about the car.) [5 pts]

Using the data on 4137 college students, the following equation was estimated

Using the data on 4137 college students, the following equation was estimated

by OLS

colgpai =β0 +β1hsperci +ui, i=1,2,...,4137

where colgpa is measured on a four-point scale and hsperc is the percentile in the high school graduating class (defined so that, for example, hsperc = 5 means the top 5 percent of the class).

  Coefficients:

Estimate Std. Error t value Pr(>|t|) (Intercept) 2.9803872 0.0141800 210.2 <2e-16 *** hsperc -0.0170349 0.0005585 -30.5 <2e-16 ***

---

Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 0.5952 on 4135 degrees of freedom Multiple R-squared: 0.1836, Adjusted R-squared: 0.1834 F-statistic: 930.2 on 1 and 4135 DF, p-value: < 2.2e-16

1. (i) Why does it make sense for the coefficient on hsperc to be negative?

2. (ii) Interpret the coefficient of hsperc.

3. (iii) Is it statistically different than zero at the 5% level?

4. (iv) What other factors do you think might be relevant for explaining colgpa?

5. (v) Are these other factors likely to be correlated with hsperc? If so, what can you say about the interpretation of the coefficients on hsperc?

Please show your work, thank you!

Which of the following are consequences of the Central Limit Theorem? I'm not sure why II and III are correct and the others are not.

I) A SRS of resale house prices for 100 randomly selected transactions from all sale

transactions in 2001 (in Toronto) will be obtained. Since the sample is large, we

should expect the histogram for the sample to be nearly normal.

II) We will draw a SRS (simple random sample) of 100 students from all University

of Toronto students, and measure each person’s cholesterol level. The average

cholesterol level for the sample should be approximately normally distributed.

III) We want to estimate the proportion of Ontario voters who intend to vote for the

Liberal party in the next election, and decide to draw a SRS of 400 voters. The

percentage of the people in the sample who will say that they intend to vote

Liberal is approximately normally distributed.

IV) We will draw a SRS of 100 adults from the Canadian military, and count the

number who have the AIDS virus. The number of individuals in the sample who

will be found to have the AIDS virus should be approximately normally

distributed.

V) We are interested in the average income for all Canadian families for 2001. The

mean income for all Canadian families should be approximately normal, due to

the large number of families in the population.

Calculate a geometric series

1.For v greater than 0 and less than 1, what is the Sum(v^i) for i = 1 to 100?

2.For v greater than 0 and less than 1, what is the Sum(v^i) for i = 1 to infinity?

3.Let v = 1/(1+r). State the answer to question 2 in terms of r.

You have the following information on return on the stocks of Target (T), Macy's (M),and Best Buy (B)

Target (T) Macy's (M) Best Buy (B)

$6 $3 $11

$7 $8 $5

$3 $5 $8

$4 $8 $4

What are the variances and standard deviations of the returns on the three stocks?

What is the covariance of the returns on T and M?

What is the covariance of M and B?

1. There are multiple sections of 3 classes that have to be offered. Class A has an average enrollment of 120 per term. Class B has an average of 100 students per term and Class C has an average enrollment of 85 students per term. The rules for opening and cancelling sections are as follows:

1. Any section of this class must have at least 15 students to run. Any less than this and the section is cancelled.
2. Each section has a maximum enrollment of 45 students.
3. A new section will open up when the previous section (s) have an average enrollment of 40.
4. A new section will open up to accommodate department regulations on staffing.

For each class run a simulation using your chosen distribution and determine the following:

1. Given that anytime enrollment in a class reaches over 175 students, there will be 5 sections of class, what is the probability of this happening with each class?

Class A =

Class B =

Class C =

ii)    Given that anytime enrollment in a class reaches 135 students to 180 students, there will be 4 sections of class, what is the probability of this happening with each class?

Class A =

Class B =

Class C =

3. Given that anytime enrollment in a class reaches 95 students to 120 students, there will be 3 sections of class, what is the probability of this happening with each class?

Class A =

Class B =

Class C =

4. If a third section of Class C opens when enrollment goes above 80, and it gets cancelled when enrollment is below 95, How often does the third section get cancelled? (Enrollment is between 80 and 95)

5. Based upon the probabilities you found above, how many sections of each class do you offer? 2, 3, 4 or 5?

Class A =

Class B =

Class C =

Using the number of sections, you found above create a schedule that maximizes the quality of teaching these classes. Full Time profs must teach 3-4 sections. Part time profs must teach 1-2 sections.

6. What is the minimum number of sections (total) that need to be offered?

7. What is the maximum number of sections (total) you can offer?

Professor Data is below:

Given your answers in part v, and possibly modified by your answers in part vi, what is the quality score of your department’s teaching?

How many sections of each class do the professors teach?

I am having problems with :

If 6 is selected, then you will get an employee pay amount from the user. This will be a double. Only allow them to enter one pay amount and then display the main menu again.

AND:

if 2 is selected you will promt the user for a grade (double) from 0-100. Only allow them to enter one grade and then display the main menu again

The project:

Create a project called P03. Inside of P03 you’re going to have four classes: 1) EntrySystem.java...

(3 bookmarks)

Create a project called P03. Inside of P03 you’re going to have four classes:
1) EntrySystem.java (which will contain your main method)

2) Person.java which will be your super class will have the following properties:
first name (string)
last name (string)
id number (string)
phone (string)
street address (string)
city (string)
state (string)
zip (string)

3) Student.java will inherit from Person and will have the following additional properties:
major (string)
grades (Arraylist of doubles)
advisor (string)

Student will also have a method called displayStudent() which will display all of the students information as well as their GPA in a neatly formatted way

. 4) Employee.java will inherit from Person and will have the following additional properties:
department (string)
supervisor (string)
paychecks (ArrayList of doubles)

Employee will also have a method called displayEmployee() which will display all of the employees information as well as their pay average and pay total in a neatly formatted way. You can also add and use the HelperClass.java.
You'll create two interfaces:
PayrollInterface.java with the following methods:
AddCheckAmount(double check)
GetPayTotal()
GetPayAverage()

GradesInterface.java with the following methods:
AddNumericalGrade(double grade)
CalculateGPA()

you will use Student to create an ArrayList of Student Java Objects called students, and Employee to create an ArrayList of Employee Java Objects called employees.

In EntrySystem.java you’ll have a menu with the following options:
1) Add a Student
2) Add a Student Grade
3) View All Students
4) Clear all Students
5) Add an Employee
6) Add an Employee Pay Amount
7) View All Employees
8) Clear All Employees
9) Exit
If 1 is selected,you will prompt the user for each field of the Student class to enter. You will validate strings to make sure they are not empty. You will validate ints and doubles to make sure they are proper ints and doubles. You will then add the Student Object to an ArrayList called students, returning the user back to the menu. Feel free to use the Helper Class we've been working with.

HELP
If 2 is selected you will promt the user for a grade (double) from 0-100. Only allow them to enter one grade and then display the main menu again.

If 3 is selected, you will display the list of students in a neatly formatted way by looping through students and calling displayStudent() for each. If there are no students entered, then tell the user this.

If 4 is selected, you will clear the students ArrayList.

If 5 is selected, then you will prompt the user for each field to enter for the Employee class. You will validate strings to make sure they are not empty. You will validate doubles to make sure they are proper doubles.

HELP
If 6 is selected, then you will get an employee pay amount from the user. This will be a double. Only allow them to enter one pay amount and then display the main menu again.

If 7 is selected, you will display the list of employees in a neatly formatted way calling displayEmployee() for each. If there are no employees, then tell the user this.

If 8 is selected, you will clear the employees ArrayList.

When 9 is selected, you will exit the program.

HELP PLEASE