Consider the production function below.
?(?, ?) = ?1/2 + ?1/2
a) Find the demand for labor and capital
b) Draw the demand curve for labor
c) Does the production function exhibit diminishing marginal
returns of labor?
d) Is the production function exhibiting increasing, constant or
decreasing returns to scale?
In: Economics
Let A := 1+√5 2 and B := 1−√5 2 . These are both roots of the equation x2 = x + 1. Show that fn = An −Bn √5 , where fn is the nth fibonacci number.
In: Advanced Math
27. English editions of Scrabble have 100 letter tiles, distributed as follows and as above:
• 2 blank tiles (scoring 0 points)
• 1 point: E ×12, A ×9, I ×9, O ×8, N ×6, R ×6, T ×6, L ×4, S ×4, U ×4
• 2 points: D ×4, G ×3
• 3 points: B ×2, C ×2, M ×2, P ×2
• 4 points: F ×2, H ×2, V ×2, W ×2, Y ×2
• 5 points: K ×1
• 8 points: J ×1, X ×1
• 10 points: Q ×1, Z ×1
a. What is the mean point value of the full set of Scrabble tiles?
b. What is the median point value of the full set of Scrabble tiles?
In: Statistics and Probability
|
ID of Respondent |
# of Friends who Bully |
Respondent was a Bully Victim (0 = No; 1 = Yes) |
Gender (0 = Female; 1 = Male) |
# of Times Respondent Bullied Others |
|
1 |
2 |
1 |
1 |
5 |
|
2 |
4 |
1 |
0 |
2 |
|
3 |
3 |
0 |
1 |
8 |
|
4 |
2 |
0 |
0 |
4 |
|
5 |
6 |
1 |
1 |
6 |
|
6 |
3 |
0 |
0 |
2 |
|
7 |
7 |
1 |
1 |
7 |
|
8 |
4 |
0 |
0 |
0 |
|
9 |
2 |
1 |
1 |
1 |
|
10 |
7 |
1 |
1 |
8 |
If you were to draw one individual from this sample of 10 individuals, what would do characteristics do you believe would be the most likely to be drawn (1 = Bully Victim and Bully Offender; 2 = Bully Victim but not Bully Offender; 3 = Bully Offender but not Bully Victim; or 4 = Non Bully Victim and Non Bully Offender)? Why?
In: Math
Data Structure:
1. Write a program for f(n) = 1^2+2^3+…+n^2. (i^2 = i*i)
2. If you have the following polynomial function
f(n)=a0 +a1 x + a2x2+…+an xn ,
then you are asked to write a program for that, how do you do?
3. Write a function in C++ to sort array A[]. (You can assume that you have 10 elements in the array.)
4. Analyze the following program, tell us what does it do for each location of “???” ( i.e. add your comments for the code ) . boolean func(int Start, int End) ///??? What does the function do
{
int k = (Start + End)/2;
if (Start==End){ // ending state
if(N == A[k-1]) // ??? return true; // ???
else return false; // ??? }
if (N <= A[k-1]) return func(Start, k); // ???
else return func(k+1, End); // ???
return false; } // func
5. Write a program that implements Linked-Lists with function append() and removeHeadNode(). Can you use it for Queues? How?
In: Computer Science
|
These are the cash flows for two projects. Calculate the NPV and IRR for both. Then select the best project according to the NPV measure. Use a WACC of 10% for both projects. The investments are 7 for project 1, and 8 for project 2. Cash flows for project 1
Cash flows for project 2
|
Calculate the NPV for project 1. Remember to use 10% as the WACC.
Calculate the IRR for project 1. Remember the WACC is 10%. Give the answer in percent.
Calculate the NPV for project 2, use a 10% WACC.
Calculate the IRR for project 2, write the result in percent.
According to the NPV criterion, which is the best project to invest in?
In: Finance
Boys and Girls: Suppose a couple plans to have two children and the probability of having a girl is 0.50.
(a) What is the sample space for the gender outcomes?
{bb, bg, gg}
{b,g}
{bb, bg, gb, gg}
{bb, gg}
(b) What is the probability that the couple has one boy and one
girl?
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 2 |
| 3 |
| 4 |
(c) What is the probability that the couple will have at least one
girl?
| 1 |
| 4 |
| 1 |
| 3 |
| 3 |
| 4 |
| 1 |
| 2 |
(d) What is the probability that the couple will have no girls?
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 4 |
| 3 |
| 4 |
In: Statistics and Probability
Consider the following time series data.
| Quarter | Year 1 | Year 2 | Year 3 |
| 1 | 3 | 6 | 7 |
| 2 | 4 | 1 | 8 |
| 3 | 1 | 7 | 5 |
| 4 | 5 | 7 | 8 |
a. Which of the following is a time series plot?
- Select your answer -time series plot #1time series plot #2time series plot #3Item 1
What type of pattern exists in the data?
- Select your answer -upward linear trendnonlinear trend and a seasonal patternlinear trend and a seasonal patternslight curvaturedownward linear trendItem 2
b. Show the four-quarter and centered moving average values for this time series (to 3 decimals if necessary).
| Year | Quarter | Time Series Value | Four-Quarter Moving Average | Centered Moving Average |
| 1 | 1 | 3 | ||
| 2 | 4 | |||
| _________ | ||||
| 3 | 1 | _____ | ||
| __________ | ||||
| 4 | 5 | _________ | ||
| __________ | ||||
| 2 | 1 | 6 | ______ | |
| ________ | ||||
| 2 | 1 | _______ | ||
| ______ | ||||
| 3 | 7 | _______ | ||
| ________ | ||||
| 4 | 7 | ________ | ||
| ________ | ||||
| 3 | 1 | 7 | __________ | |
| ________ | ||||
| 2 | 8 | ________ | ||
| ________ | ||||
| 3 | 5 | |||
| 4 | 8 |
c. Compute seasonal indexes and adjusted seasonal indexes for the four quarters (to 3 decimals).
| Quarter | Seasonal Index |
Adjusted Seasonal Index |
| 1 | ||
| 2 | ||
| 3 | ||
| 4 | ||
| Total |
In: Statistics and Probability
Subject; Nutrition (NS -101)
Question; Virus that causes food poisoning and write full
details about the Virus.
1. Write cover page
2. Introduction, 1 1/2 page
3. Main body , 3-4 .Each part has to be labeled. Cause, Symptoms, & Treatment.
4. Conclusion, 1/2- 1 page
5. 8 - References.
4.
4.
In: Biology
Use Simpson’s Rule with n = 4 to approximate the value of the definite integral ∫4 0 e^(−x^2) dx. (upper is 4, lower is 0)
Compute the following integrals (you may need to use Integration by Substitution):
(a) ∫ 1 −1 (2xe^x^2) dx (upper is 1, lower is -1)
(b) ∫ (((x^2) − 1)((x^3) − 3x)^4)dx
In: Math