Consider the flow of a liquid metal past a flat plate (Pr << 1). We have shown that for a constant wall teemperature, T_o, the Nusselt number is given by Nu = 0.564*(Re^1/2)*(Pr^1/2). Show that if the surface is not a constant temperature, but is instead providing a constant heat flux, that the Nusselt number becomes Nu = 0.886*(Re^1/2)*(Pr^1/2). Start with the following expression for the temperature profile within a semi-infinite body with a constant heat flux boundary condition T - T_o = (q_s / k)[ ((4*alpha*t) / pi)^1/2 * exp(-x^2 / (4*alpha*t)) - x*erfc( x / (4*alpha*t)^1/2 ) ].
In: Mechanical Engineering
Let us assume the following regarding 2 firms:
| Firm A | Firm B | |||||
| Emissions | Total abatement costs | Marginal abatement costs | Emissions | Total abatement costs | Marginal abatement costs | |
| 4 | 0 | 0 | 4 | 0 | 0 | |
| 3 | 1 | 3 | 2 | |||
| 2 | 2 | 2 | 4 | |||
| 1 | 3 | 1 | 6 | |||
| 0 | 4 | 0 | 8 |
1 Please calculate the total abatement costs for both firms (see empty boxes in the table above, what are the corresponding values?)
2 What are the total abatement costs for the firms and economy to reduce 50% of the emissions with command and control policies?
3 How will cap and trade improve the situation, if each firm will get 2 permits?
4 What is the range of the price per permit so that trade will take place?
In: Economics
Sequence the jobs shown below by using a Gantt chart. Assume that the move time between machines is one hour. Sequence the jobs in priority order 1, 2, 3, 4.
|
Job Work Center/Machine Hours Due Date (days) |
||
|
1 |
A/3, B/2, C/2 |
3 |
|
2 |
C/2, A/4 |
2 |
|
3 |
B/6, A/1, C/3 |
4 |
|
4 |
C/4, A/1, B/2 |
3 |
In: Math
1-4): True or False?
1) The sample statistic is at the center of a confidence interval for that statistic.
2) In a hypothesis test, increasing the significance level increases the chance of making a type 1 error.
3) Failure to reject the null hypothesis test in a hypothesis test implies strong support for the null hypothesis.
4) When no prior belief about a population characteristic is held, construction of a confidence interval, rather than the use of hypothesis testing, is used to estimate the population characteristic.
In: Statistics and Probability
Determine if ~w = (−4, 6, 1) is a linear combination
of ~u = (1, 0, −1) and
~v = (1, −11, 3) . If so, then express ~w as a linear combination
of ~u and ~v .
Let ~u = (1, 1, −1) and ~v = (2, 1, 3). Determine if
~w = (7, 6, 3) is a linear
combination of ~u and ~v. If so, express ~w as a linear combination
of ~u and ~v.
Let
~x1 = (2, −1, 3, 1), ~x2 = (1, 0, −1, 1), ~x3 = (0, 1, 4, 2).
(i) Determine if ~x1, ~x2, and ~x3 are linearly independent.
Justify your answer.
(ii) Determine if ~v = (2, −1, 3, 1) is a linear combination of
~x1, ~x2, and ~x3.
If so, express ~v as a linear combination of ~x1, ~x2, and ~x3. If
not, justify
your answer.
(iii) Determine if ~u = (1, 0, 0, 1) is a linear combination of
~x1, ~x2, and ~x3. If
so, express ~u as a linear combination of ~x1, ~x2, and ~x3. If
not, justify
your answer.
In: Advanced Math
1. There are 4 quarters and 3 dimes and 1 nickel in a coin pouch. Two coins are selected at random. If XX assigns the total value of the coins to each outcome, how many distinct values does XX take?
2. Rework problem 5 in section 4.2 of your text, involving the selection of two students from a committee of students. Assume that the committee is made up of 5 males and 6 females. Two are selected at random, and a random variable XX is defined to be the number of males selected.
How many different values are possible for the random variable XX?
3.
Rework problem 9 in section 4.2 of your text, involving a defective vending machine. Assume that the machine yields the item selected 70 percent of the time, and returns nothing 30 percent of the time. Three individuals attempt to use the machine. Let XX be defined as the number of individuals who obtain the item selected.
How many different values are possible for the random variable XX?
In: Advanced Math
Match each table with its equation.
OPTIONS -Linear, Square Root, Quadratic, Absolute Value, Cubic, Reciprocal
| Input | Output |
|---|---|
| -2 | -8 |
| -1 | -1 |
| 0 | 0 |
| 1 | 1 |
| 2 | 8 |
| 3 | 27 |
OPTIONS -Linear, Square Root, Quadratic, Absolute Value, Cubic, Reciprocal
| Input | Output |
|---|---|
| -2 | _ |
| -1 | _ |
| 0 | 0 |
| 1 | 1 |
| 4 | 2 |
| 9 | 3 |
OPTIONS -Linear, Square Root, Quadratic, Absolute Value, Cubic, Reciprocal
| Input | Output |
|---|---|
| -2 | -0.5 |
| -1 | -1 |
| 0 | _ |
| 1 | 1 |
| 2 | 0.5 |
| 3 | 0.33 |
OPTIONS -Linear, Square Root, Quadratic, Absolute Value, Cubic, Reciprocal
| Input | Output |
|---|---|
| -2 | 2 |
| -1 | 1 |
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
OPTIONS -Linear, Square Root, Quadratic, Absolute Value, Cubic, Reciprocal
| Input | Output |
|---|---|
| -2 | -2 |
| -1 | -1 |
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
OPTIONS -Linear, Square Root, Quadratic, Absolute Value, Cubic, Reciprocal
| Input | Output |
|---|---|
| -2 | 4 |
| -1 | 1 |
| 0 | 0 |
| 1 | 1 |
| 2 | 4 |
| 3 | 9 |
In: Math
A statistical program is recommended.
A study investigated the relationship between audit delay (Delay), the length of time from a company's fiscal year-end to the date of the auditor's report, and variables that describe the client and the auditor. Some of the independent variables that were included in this study follow.
| Industry | A dummy variable coded 1 if the firm was an industrial company or 0 if the firm was a bank, savings and loan, or insurance company. |
|---|---|
| Public | A dummy variable coded 1 if the company was traded on an organized exchange or over the counter; otherwise coded 0. |
| Quality | A measure of overall quality of internal controls, as judged by the auditor, on a five-point scale ranging from "virtually none" (1) to "excellent" (5). |
| Finished | A measure ranging from 1 to 4, as judged by the auditor, where 1 indicates "all work performed subsequent to year-end" and 4 indicates "most work performed prior to year-end." |
A sample of 40 companies provided the following data.
| Delay | Industry | Public | Quality | Finished |
|---|---|---|---|---|
| 62 | 0 | 0 | 3 | 1 |
| 45 | 0 | 1 | 3 | 3 |
| 54 | 0 | 0 | 2 | 2 |
| 71 | 0 | 1 | 1 | 2 |
| 91 | 0 | 0 | 1 | 1 |
| 62 | 0 | 0 | 4 | 4 |
| 61 | 0 | 0 | 3 | 2 |
| 69 | 0 | 1 | 5 | 2 |
| 80 | 0 | 0 | 1 | 1 |
| 52 | 0 | 0 | 5 | 3 |
| 47 | 0 | 0 | 3 | 2 |
| 65 | 0 | 1 | 2 | 3 |
| 60 | 0 | 0 | 1 | 3 |
| 81 | 1 | 0 | 1 | 2 |
| 73 | 1 | 0 | 2 | 2 |
| 89 | 1 | 0 | 2 | 1 |
| 71 | 1 | 0 | 5 | 4 |
| 76 | 1 | 0 | 2 | 2 |
| 68 | 1 | 0 | 1 | 2 |
| 68 | 1 | 0 | 5 | 2 |
| 86 | 1 | 0 | 2 | 2 |
| 76 | 1 | 1 | 3 | 1 |
| 67 | 1 | 0 | 2 | 3 |
| 57 | 1 | 0 | 4 | 2 |
| 55 | 1 | 1 | 3 | 2 |
| 54 | 1 | 0 | 5 | 2 |
| 69 | 1 | 0 | 3 | 3 |
| 82 | 1 | 0 | 5 | 1 |
| 94 | 1 | 0 | 1 | 1 |
| 74 | 1 | 1 | 5 | 2 |
| 75 | 1 | 1 | 4 | 3 |
| 69 | 1 | 0 | 2 | 2 |
| 71 | 1 | 0 | 4 | 4 |
| 79 | 1 | 0 | 5 | 2 |
| 80 | 1 | 0 | 1 | 4 |
| 91 | 1 | 0 | 4 | 1 |
| 92 | 1 | 0 | 1 | 4 |
| 46 | 1 | 1 | 4 | 3 |
| 72 | 1 | 0 | 5 | 2 |
| 85 | 1 | 0 | 5 | 1 |
(a)
Develop the estimated regression equation using all of the independent variables. Use x1 for Industry, x2 for Public, x3 for Quality, and x4 for Finished. (Round your numerical values to two decimal places.)
ŷ =
(b)
Did the estimated regression equation developed in part (a) provide a good fit? Explain. (Use α = 0.05. For purposes of this exercise, consider an adjusted coefficient of determination value high if it is at least 50%.)
Yes, testing for significance shows that the overall model is significant and all the individual independent variables are significant.No, the low value of the adjusted coefficient of determination does not indicate a good fit. Yes, the low p-value and high value of the adjusted coefficient of determination indicate a good fit.No, testing for significance shows that all independent variables except Public are not significant.
(c)
Develop a scatter diagram showing Delay as a function of Finished.
A scatter diagram has 40 points. The horizontal axis ranges from 0 to 5 and is labeled: Finished. The vertical axis ranges from 30 to 100 and is labeled: Delay. All the points fall at either 1, 2, 3, or 4 on the horizontal axis, forming 4 columns of points. Moving from left to right, the top point of the first column of points is located at approximately (1, 94). The top points of all subsequent columns extend downward in a diagonal direction. The bottom points of each column follow this same pattern.
A scatter diagram has 40 points. The horizontal axis ranges from 0 to 5 and is labeled: Finished. The vertical axis ranges from 30 to 100 and is labeled: Delay. All the points fall at either 1, 2, 3, or 4 on the horizontal axis, forming 4 columns of points. Moving from left to right, the top point of the first column of points is located at approximately (1, 92). The top points of the next two columns extend slightly upward in a diagonal direction. The top point of the last column extends downward from the top point of the previous column. Moving from left to right, the bottom point of the first column is located at approximately (1, 54). The bottom point of the next column extends downward. From this point, the bottom two points of the last two columns extend upward in a diagonal direction.
A scatter diagram has 40 points. The horizontal axis ranges from 0 to 5 and is labeled: Finished. The vertical axis ranges from 30 to 100 and is labeled: Delay. All the points fall at either 1, 2, 3, or 4 on the horizontal axis, forming 4 columns of points. Moving from left to right, the top point of the first column of points is located at approximately (1, 94). The top points of the next two columns extend downward in a diagonal direction. The top point of the last column extends upward from the top point of the previous column. The bottom points of each column follow this same pattern.
A scatter diagram has 40 points. The horizontal axis ranges from 0 to 5 and is labeled: Finished. The vertical axis ranges from 30 to 100 and is labeled: Delay. All the points fall at either 1, 2, 3, or 4 on the horizontal axis, forming 4 columns of points. Moving from left to right, the top point of the first column of points is located at approximately (1, 60). The top points of all subsequent columns extend upward in a diagonal direction. The bottom points of each column follow this same pattern.
What does this scatter diagram indicate about the relationship between Delay and Finished?
The scatter diagram suggests no relationship between these two variables.The scatter diagram suggests a linear relationship between these two variables. The scatter diagram suggests a curvilinear relationship between these two variables.
(d)
On the basis of your observations about the relationship between Delay and Finished, use best-subsets regression to develop an alternative estimated regression equation to the one developed in (a) to explain as much of the variability in Delay as possible. Use x1 for Industry, x2 for Public, x3 for Quality, and x4 for Finished. (Round your numerical values to two decimal places.)
ŷ =
In: Statistics and Probability
Find the volume of the parallelepiped with adjacent edges PQ, PR, PS.
P(3, 0, 2), Q(−1, 2, 7), R(4, 2, −1), S(0, 5, 3)
Cubic units
If a = (2, −1, 5)
and b = (4, 2, 1),
find the following.
a × b =
b × a=
If
a = i − 5k and b = j + k, find a × b
In: Math
Following is hw14. Save the demo filename as lastname_hw14.java and the class name as lastname_people.java.
Following are three arrays each containing 50 values. Store all three arrays in the main method. Write an object to transfer the three arrays.
int []age[] = {70, 68, 52, 69, 40, 59, 61, 34, 45, 50, 43, 22, 35, 50, 67, 33, 36, 22, 63, 65, 56, 31, 55, 28, 30, 24, 55, 35, 39, 59, 68, 50, 33, 45, 26, 54, 44, 56, 58, 24, 69, 56, 65, 52, 20, 23, 37, 27, 69, 35};
int []num_children = {2, 4, 3, 3, 4, 2, 3, 5, 5, 4, 4, 1, 5, 1, 4, 5, 4, 2, 2, 1, 2, 4, 3, 2, 3, 0, 5, 0, 0, 1, 3, 1, 4, 1, 0, 4, 0, 2, 2, 1, 3, 5, 1, 0, 0, 1, 1, 2, 1, 4};
int []weekly_pay = {1600, 950, 400, 1450, 1250, 1350, 2450, 750, 1700, 700, 1200, 1550, 1450, 450, 2600, 1550, 400, 850, 400, 600, 700, 1300, 2050, 900, 2250, 450, 1900, 800, 2500, 1500, 1200, 2900, 1100, 1700, 900, 1000, 750, 2200, 2600, 1300, 2150, 450, 1250, 1750, 800, 2850, 2150, 750, 2350, 1100};
1) In the class file, write a method called method1 to compute the average age.
2) In the class file, write a method called method2 to compute the average age of those who have exactly 3 children.
3) In the class file, write a method called metho3 to compute the lowest age of those making $1501 to $2500 per week.
Print the answers to all three parts from within the main method (lastname_hw14.java).
java
In: Computer Science