7. A cue ball traveling horizontally at 2.5 m/s strikes a stationary 8-ball, causing the 8-ball to travel at a 30◦ angle with respect to the horizontal. If the two have the same mass, (a) What are the speeds of the cue and 8-ball post-collision? (b) Using your results, indicate what kind of collision occurred. You must back up your conclusion using your results.
In: Physics
What is the present value of $600 to be paid in three years using the following discount rates: 8 percent in Year 1, 7 percent in Year 2, and 6 percent in Year 3? (Round your answer to two decimal places.)
In: Finance
7. What role does the symbol table play in a compiler? When is it created?
8. What are two unique advantages of implementing a language with a runtime interpreter i.e. scheme, python) versus a standalone executable file (i.e. C, C++)?
In: Computer Science
A jar contains 6 blue and 8 red marbles. What is the probability of drawing two consecutive red marbles if the drawing is done without replacement?
Group of answer choices
32/91
2/7
4/13
101/91
In: Statistics and Probability
Article 1
Chapters 1-3, Topics: Climate Change; Major Global Atmospheric Wind Patterns
Article Assignments: the student will be required to write a one-page article on physical geography (type one paragraph, 4-8 sentences) (see following website links for some online sources or use hard copy newspapers or magazines) covering the summary or the article in your own words. Temporal (time) scale of article should be within the last 10-years, unless you are writing on a larger geological temporal scale (ex: decades, hundreds, thousands, millions, or billions of years). You must include two images (one must be a map of article location and one image, chart, graph, or table), and geographic coordinates (latitude and longitude; AKA: Lat/Lon) of article topics’ physical location (please see following URLs to obtain your Lat/Lon:
In: Other
Here we think about two people, Sally & Tamara, who are in a ridiculously simple place where only two goods exist, apples & Hot Dogs. Sally is indifferent between bundles A, B, C, D, E, F, and G. Tamara is indifferent between bundles H, J, I, K, L, M, and N.
Sally:
| Bundle | apples | hotdogs |
| A | 0 | 29 |
| B | 1 | 22 |
| C | 2 | 16 |
| D | 3 | 11 |
| E | 4 | 7 |
| F | 5 | 4 |
| G | 6 | 2 |
Tamara
| Bundle | Apples | Hot Dogs |
| H | 3 | 40 |
| J | 4 | 33 |
| I | 5 | 27 |
| K | 6 | 22 |
| L | 7 | 18 |
| M | 8 | 15 |
| N | 9 | 13 |
What is the value of 4 apples to Sally? (1)
What is the marginal value of the 4th apple to Sally? (1)
What is the marginal value of the 4th apple to Tamara? (1)
Let us say, Sally has bundle E & Tamara has bundle H. Explain how trade can make each one of them better off (give all relevant details, such as who would trade what for what, what will each person ends up with as the result of their trade, and how you know that what they have after trade is better than what they have started with). (3)
What would be the equilibrium outcome of their trade (i.e., how many apples and how many hot dogs would each of them have in equilibrium)? Explain, with reference to maximization, how you know that that outcome is equilibrium. (3)
In: Economics
A few years ago, Dan Jones, the VP for a large manufacturing plant, noticed an increase in absenteeism, which he thinks was related to the general health of the employees. Two years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. To evaluate the program, he selected a random sample of five participants and found the number of days each was absent in the six months before the exercises program began and in the last six months. Below are the results. Is there enough evidence to conclude that the mean number of absences has declined? Test at the 5% level of significance.
Assume the differences are approximately normally distributed.
Employee | Before | After |
1 | 6 | 2 |
2 | 4 | 6 |
3 | 3 | 4 |
4 | 8 | 5 |
5 | 7 | 3 |
H0: HA:
Critical Value:
Test Statistic:
Decision:
Conclusion: Circle the Correct One:
Yes, there is enough evidence to conclude that the mean number of absences has declined at the 5% level of significance.
No, there is not enough evidence to conclude that the mean number of absences has declined at the 5% level of significance.
In: Statistics and Probability
Seven years ago, you started a crosstown delivery service. The service is an environmentally friendly business and, given all the traffic congestion, you are also the fastest service in the city since your entire crew are bicyclists. You have two types of service. You have a small parcel service for anything that is flat and measures less than 11x17. You have a package service using a 100 lb. capacity bike trailer for anything weighing up to 10 lbs. As a way to introduce the new package service when you implemented the small package service, you charged the same price for packages as parcels. You are now wondering if you should charge different prices for the parcel and package service.
Complete the table below for the combined market of parcels and packages.
|
Price |
Parcels and Packages |
TR |
MR |
TC |
MC |
MR-MC |
Profit |
|
50 |
5,000 |
1,600 |
3,400 |
||||
|
90 |
10,800 |
83 |
2,300 |
10 |
73 |
8,500 |
|
|
80 |
190 |
15,200 |
63 |
3,000 |
10 |
53 |
|
|
260 |
18,200 |
43 |
3,700 |
10 |
33 |
14,500 |
|
|
60 |
19,800 |
23 |
4,400 |
10 |
13 |
15,400 |
|
|
50 |
400 |
20,000 |
3 |
5,100 |
10 |
-7 |
|
|
470 |
18,800 |
-17 |
5,800 |
10 |
-27 |
13,000 |
|
|
30 |
16,200 |
-37 |
6,500 |
10 |
-47 |
9,700 |
|
|
20 |
610 |
12,200 |
-57 |
7,200 |
10 |
-67 |
|
|
10 |
680 |
6,800 |
-77 |
7,900 |
10 |
-87 |
-1,100 |
In: Economics
In: Computer Science
A stock is expected to pay a dividend of $0.70 per share in one month, in four months and in seven months. The stock price is $30, and the risk-free rate of interest is 7% per annum with continuous compounding for all maturities. You have just taken a short position in an eight-month forward contract on the stock. Six months later, the price of the stock has become $34 and the risk-free rate of interest is still 7% per annum. What is the value your position six months later?
In: Finance