A total of 150 crimes were reported by the sheriff last year. Of the 150 crimes, 39 were committed by criminals under 20 years of age, 36 were committed by criminals over 40 and 82 were violent crimes. There were 27 violent crimes under the age of 20 and 14 violent criminals over the age of 40.

What is the probability that at least one out of four crimes is nonviolent? Please show work so I can understand how to get the answer

How many three​-digit numbers can be formed from the digits 0,1, 2, 3, 4, 5, 6, 7, and 8 if each digit can be used only​ once? I got this: 448

​How many are greater than 330​? <- I don't understand how to answer this.

I have looked up the answer and could probably figure it out, but please explain where the numbers you are multiplying are coming from. I want to learn how to answer this type of question on my own. I do not understand what numbers to multiply and why. I start with 5 because there are 5 digits for the hundreds place greater than 3, then multiply that by 8 for the remaining digits in the tens place. So I have 5*8, if that is correct then I just need the last number and to understand why that is the last number, and then I have to do the remaining numbers with the 3 in the hundreds place and get the sum.

Write a C++ or Java program that reads an input graph data from a user. Then, it should present a path for the travelling salesman problem (TSP). In the assignment, you can assume that the maximum number ofvertices in the input graph is less than or equal to 20.

Input format: This is a sample input from a user.

The first line (= 4 in the example) indicates that there are four vertices in the graph. The next line (= 12 in the example) indicates the number of edges in the graph. The remaining 12 lines are the edge information with the “source vertex”, “destination vertex”, and “cost”. The last line (= 0 in the example) indicates the starting vertex of the travelling salesman problem. This is the graph with the input information provided.

Sample Run 0: Assume that the user typed the following lines

4

12

0 1 2

0 3 7

0 2 5

1 0 2

1 2 8

1 3 3

2 0 5

2 1 8

2 3 1

3 0 7

3 1 9

3 2 1

0

This is the correct output. Your program should present the path and total cost in separate lines.

Path:0->1->3->2->0

Cost:11

Sample Run 1: Assume that the user typed the following lines

5

6

0 2 7

3 1 20

0 4 3

1 0 8

2 4 100

3 0 19

3

This is the correct output.

Path:

Cost:-1

Note that if there is no path for the TSP, your program should present empty path and -1 cost.

Sample Run 2: Assume that the user typed the following lines

5

7

0 2 8

2 1 7

2 4 3

1 4 100

3 0 20

3 2 19

4 3 50

3

This is the correct output of your program.

Path:3->0->2->1->4->3

Cost:185

This is the directed graph of the input data:

[Hint]: To solve this problem, you can use all permutations of the vertices, except the starting vertex. For example, there are three vertices 1, 2, and 3, in the first sample run, except the starting vertex 0. This is all permutations with the three vertices

            1, 2, 3

            1, 3, 2

            2, 1, 3,

            2, 3, 1

            3, 1, 2

            3, 2, 1

Write a Java program that reads an input graph data from a user. Then, it should present a path for the travelling salesman problem (TSP). In the assignment, you can assume that the maximum number of vertices in the input graph is less than or equal to 20.

Input format: This is a sample input from a user.

The first line (= 4 in the example) indicates that there are four vertices in the graph. The next line (= 12 in the example) indicates the number of edges in the graph. The remaining 12 lines are the edge information with the “source vertex”, “destination vertex”, and “cost”. The last line (= 0 in the example) indicates the starting vertex of the travelling salesman problem. This is the graph with the input information provided.

Sample Run 0: Assume that the user typed the following lines

4

12

0 1 2

0 3 7

0 2 5

1 0 2

1 2 8

1 3 3

2 0 5

2 1 8

2 3 1

3 0 7

3 1 9

3 2 1

0

This is the correct output. Your program should present the path and total cost in separate lines.

Path:0->1->3->2->0

Cost:11

Sample Run 1: Assume that the user typed the following lines

5

6

0 2 7

3 1 20

0 4 3

1 0 8

2 4 100

3 0 19

3

This is the correct output.

Path:

Cost:-1

Note that if there is no path for the TSP, your program should present empty path and -1 cost.

Sample Run 2: Assume that the user typed the following lines

5

7

0 2 8

2 1 7

2 4 3

1 4 100

3 0 20

3 2 19

4 3 50

3

This is the correct output of your program.

Path:3->0->2->1->4->3

Cost:185

This is the directed graph of the input data:

[Hint]: To solve this problem, you can use all permutations of the vertices, except the starting vertex. For example, there are three vertices 1, 2, and 3, in the first sample run, except the starting vertex 0. This is all permutations with the three vertices

            1, 2, 3

            1, 3, 2

            2, 1, 3,

            2, 3, 1

            3, 1, 2

            3, 2, 1

Test the hypotheses that 1) systolic pressure [and 2) diastolic pressure, for practice] differs between men and women, with an α of 0.05 for both. What test would be most appropriate and why? Are the results significant? State your conclusions.

What is the income distribution of super shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. In the following table, income units are in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars.

(a)

Using the income midpoints x and the percent of super shoppers, do we have a valid probability distribution? Explain.

Yes. The events are distinct and the probabilities do not sum to 1. Yes. The events are indistinct and the probabilities sum to less than 1.     Yes. The events are distinct and the probabilities sum to 1. No. The events are indistinct and the probabilities sum to more than 1. No. The events are indistinct and the probabilities sum to 1.

(b)

Use a histogram to graph the probability distribution of part (a). (Select the correct graph.)

(c)

Compute the expected income μ of a super shopper (in thousands of dollars). (Enter a number. Round your answer to two decimal places.)
μ = thousands of dollars

(d)

Compute the standard deviation σ for the income of super shoppers (in thousands of dollars). (Enter a number. Round your answer to two decimal places.)
σ = thousands of dollars

develop simple linear regression models for predicting sales as a function of the number of each type of ad. Compare these results to a multiple linear regression model using both independent variables. State each model and explain R- square, significance F and P-values.

Create a Python program that:

Reads the content of a file (Vehlist.txt)
The file contains matching pairs of vehicle models and their respective makes
Separate out the individual make and model on each line of the file
Add the vehicle make to one list, and the vehicle model to another list; such that they are in the same relative position in each list
Prompt the user to enter a vehicle model
Search the list containing the vehicle models for a match
If a match is found, display the vehicle make by accessing the vehicle make list entry in the same relative position the match was found
If no match is found, display a message saying so to the user
Allow the user to enter name for the file
The program should:

Use variables with meaningful names
Display easily understood prompts when collecting user input
Have appropriate comments indicating what each part of the program is doing
Have a comment area at the beginning of the program identifying the author of the program and the class it was created for
Save the program as a Python module, and submit the program through this assignment

Johnson Industries finances its projects with 40 percent debt, 10 percent preferred stock, and 50 percent common stock.

• The company can issue bonds at a yield to maturity of 10% percent.
• The cost of preferred stock is 12 percent.
• The company's common stock currently sells for $40 a share.
• The company's dividend is currently $1.50 a share (D₀ = $1.50), and is expected to grow at a constant rate of 8 percent per year.
• Assume that the flotation cost on debt and preferred stock is zero, and no new stock will be issued.
• The company’s tax rate is 25 percent.

What is the company’s weighted average cost of capital (WACC)? Show work.