1. If a concave mirror has a focal length of 20 cm, at which object distance will an image larger than objects be formed on screen?

a.) 40 cm b.) 30 cm c.) none of the choices d.) 14 cm e.) 50 cm

2. An electron and proton are projected with the same velocity when a uniform magnetic field perpendicular to the velocity of the two charges is applied. The electron follows a circular path of radius 1 mm. What is the radius of the proton's path?

A certain company makes two products: P₁ and P₂ . Each P₁ requires 5 kg of material M and 3 kg of matetrial N. Each P₂ requires 3 kg of M and 3 kg of N. In the warehouse, there are 350 kg of M and 270 kg of N available. The profit is $50 for each P₁ and $40 for each P₂. What mis of P₁ and P₂ products should the company make and sell in order to maximize its total profit?

5. Consider an at-the-money call option that is two weeks to maturity on a stock with a local standard deviation of 40%/year. Assume the stock is selling for $50 and the risk-free rate is 5%/year straight interest. Write your answer below – Show all calculations.

5-1. What are the variables S, B, σ, and T to be used in the option formula?

5-2. What is the call price from the approximate formula?

5-3. What is the corresponding European put price?

Part C: Regression and Correlation Analysis

Use the dependent variable (labeled Y) and the independent variables (labeled X1, X2, and X3) in the data file. Use Excel to perform the regression and correlation analysis to answer the following.

Generate a scatterplot for the specified dependent variable (Y) and the X1 independent variable, including the graph of the "best fit" line. Interpret.

Determine the equation of the "best fit" line, which describes the relationship between the dependent variable and the selected independent variable.

Determine the coefficient of correlation. Interpret.

Determine the coefficient of determination. Interpret.

Test the utility of this regression model. Interpret results, including the p-value.

Based on the findings in Steps 1-5, analyze the ability of the independent variable to predict the designated dependent variable.

Compute the confidence interval for β1 (the population slope) using a 95% confidence level. Interpret this interval.

Using an interval, estimate the average for the dependent variable for a selected value of the independent variable. Interpret this interval.

Using an interval, predict the particular value of the dependent variable for a selected value of the independent variable. Interpret this interval.

What can be said about the value of the dependent variable for values of the independent variable that are outside the range of the sample values? Explain.

In an attempt to improve the model, use a multiple regression model to predict the dependent variable .Y, based on all of the independent variables. X1, X2, and X3.

Using Excel, run the multiple regression analysis using the designated dependent and three independent variables. State the equation for this multiple regression model.

Perform the Global Test for Utility (F-Test). Explain the conclusion.

Perform the t-test on each independent variable. Explain the conclusions and clearly state how the analysis should proceed. In particular, which independent variables should be kept and which should be discarded. If any independent variables are to be discarded, re-run the multiple regression, including only the significant independent variables, and summarize results with discussion of analysis.

Is this multiple regression model better than the linear model generated in parts 1-10? Explain. Please use the actual data from below in the analysis.

1. File input.txt contains 100,000 numbers separated by new line. Do the following:
   1. Write a C++ program to compute the summation of these 100,000 numbers using single thread.
   2. Write a C++ program to compute the summation of these 100,000 numbers using 10 threads, meaning each thread compute 10,000 summations and the main thread sum the result of the 10 threads.
   3. Using the time syscall to compare the time spent for 1.1 and 1.2

Turn Ins:

Source code of two programs and a short report on to answer the following question:

1. What is the run time for 1.1?
2. What is the run time for 1.2?
3. Is there a run time difference and why?

input.txt looks like below

55
59
56
23
93
9
39
76
27
81
46
99
35
11
93
43
10
22
29
89
8
10
11
86
48
34
39
3
54
4
76
2
35
52
58
92
75
15
48
51
29
81
96
25
46
90
67
40
55
67
44
76
3
48
31
61
48
9
64
68
78
4
17
26
63
64
92
11
58
54
71
51
11
16
27
76
91
8
77
35
12
84
87
93
71
14
5
36
16
35
30
47
85
81
78
34

Prepare the 2018 cash flow statement for XYZ Corp. Assume no dividends were paid.

Financial Statements for XYZ Corp.

Balance Sheet for Period Ending December 31.

Income Statement for the Period Ending December 31.

USING UNITED STATES IBC CHAPTER 6

1. An exterior wall is defined as a building enclosing wall that has a minimum slope of ____ degrees with the horizontal plane.

A. 45               B. 60               C. 75               D. 90

2. Veneer secured and supported through the adhesion of an approved bonding material applied to an approved backing is considered as _______ veneer.

A. adhered                  B. anchored                 C. attached                  D. spandrel

3. A minimum of _________ shall be attached to exterior sheathing in order to provide a continuous water-resistant barrier behind the exterior wall veneer.

A. one layer of No. 15 asphalt felt

B. one layer of No. 30 asphalt felt

C. two layers of No. 15 asphalt felt applied shingle fashion

D. two layers of No. 15 asphalt felt applied shingle fashion

4. Precast stone facing shall be a minimum of ____ inch in thickness in order to be acceptable as an approved weather covering.

A. ½                            B. 5/8                          C. ¾                            D. 1

5. When installed in a compliant manner, exterior masonry veneer having a maximum installed weight of ____ pounds per square foot may be supported on wood construction.

A. 15                           B. 20                           C. 25                           D. 40

6. What is the minimum permitted thickness for metal veneer mounted on approved sheathing on wood construction?

A. 0.0149 in                B. 0.0224 in                C. 0.0478 in                D. 0.0630 in

7. List the performance requirement(s) of weather protection of exterior walls as per code.

8. Use of wood, masonry, concrete and several other materials are permitted in the code for the construction of exterior walls. Name five (5) more approved materials.

9. List the specifications for the wood veneers on exterior walls of Types I, II, III & IV buildings.

10. The code permits the use of combustible materials in the construction of exterior walls of Types I, II, III & IV buildings, however, with some limitations. List four (4) such limitations.

Mr. Gold is in the widget business. He currently sells 1.3 million widgets a year at $7 each. His variable cost to produce the widgets is $5 per unit, and he has $1,640,000 in fixed costs. His sales-to-assets ratio is seven times, and 40 percent of his assets are financed with 9 percent debt, with the balance financed by common stock at $10 par value per share. The tax rate is 35 percent.
  
His brother-in-law, Mr. Silverman, says he is doing it all wrong. By reducing his price to $6.00 a widget, he could increase his volume of units sold by 60 percent. Fixed costs would remain constant, and variable costs would remain $5 per unit. His sales-to-assets ratio would be 10.0 times. Furthermore, he could increase his debt-to-assets ratio to 50 percent, with the balance in common stock. It is assumed that the interest rate would go up by 1 percent and the price of stock would remain constant.
A. Compute earnings per share under the gold plan

B. Compute earnings per share under the silverman plan

Mr. Gold is in the widget business. He currently sells 1.3 million widgets a year at $7 each. His variable cost to produce the widgets is $5 per unit, and he has $1,640,000 in fixed costs. His sales-to-assets ratio is seven times, and 40 percent of his assets are financed with 9 percent debt, with the balance financed by common stock at $10 par value per share. The tax rate is 35 percent.
  
His brother-in-law, Mr. Silverman, says he is doing it all wrong. By reducing his price to $6.00 a widget, he could increase his volume of units sold by 60 percent. Fixed costs would remain constant, and variable costs would remain $5 per unit. His sales-to-assets ratio would be 10.0 times. Furthermore, he could increase his debt-to-assets ratio to 50 percent, with the balance in common stock. It is assumed that the interest rate would go up by 1 percent and the price of stock would remain constant.
A. Compute earnings per share under the gold plan

B. Compute earnings per share under the silverman plan

A bank manager wants to learn more about the time a customer has to wait to be served. He measures waiting time for a sample of 7 randomly selected customers and finds the following values (in seconds): 43, 39, 40, 75, 34, 86, 125. Find a point estimate of the population standard deviation of the wait time.

If required, round your answer to two decimal places.