A current filament carrying 8A in the z a direction
lies along the entire z-axis in free space.
A rectangular loop connecting A (0, 0.2, 0) to B (0, 0.2, 0.3) to C
(0, 0.7, 0.3) to D (0, 0.7,
0) to A lies in the x = 0 plane. The loop current is 3 mA and it
flows in the z a direction in
the AB segment. Find the force on the loop due to the field of the
straight filament.
In: Electrical Engineering
An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) through (d) below.
Weight (pounds), x Miles per Gallon, y
3736 17
3938 17
2746 24
3485 19
3250 22
3035 24
3826 16
2506 23
3387 18
3847 18
3251 17
(a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.
y^= (BLANK, round to 5 decimal places as needed)x + (BLANK, round to two decimal places as needed)
(b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice.(Use answer from part A to find this answer)
A. A weightless car will get (BLANK) miles per gallon, on average. It is not appropriate to interpret the slope.
B. For every pound added to the weight of the car, gas mileage in the city will decrease by (BLANK) mile(s) per gallon, on average. A weightless car will get (BLANK)
miles per gallon, on average.
C. For every pound added to the weight of the car, gas mileage in the city will decrease by (BLANK) mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept.
D. It is not appropriate to interpret the slope or the y-intercept.
(c) A certain gas-powered car weighs 3700 pounds and gets 20 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight?
A. Above
B. Below
(d) Would it be reasonable to use the least-squares regression line to predict the miles per gallon of a hybrid gas and electric car? Why or why not?
A. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n =11.
B.Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n =11.
C. No, because the hybrid is a different type of car.
D. Yes, because the hybrid is partially powered by gas.
In: Statistics and Probability
An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) through (d) below.
Click here to view the weight and gas mileage data.
|
Weight (pounds), x |
Miles per Gallon, y |
|
3711 |
16 |
|
3828 |
17 |
|
2625 |
24 |
|
3648 |
19 |
|
3313 |
21 |
|
2914 |
24 |
|
3786 |
17 |
|
2694 |
23 |
|
3405 |
19 |
|
3768 |
18 |
|
3284 |
17 |
(a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.
^y= __________x +____________(Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as needed.)
(b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice.
(Use the answer from part a to find this answer.)
A. A weightless car will get __________ miles per gallon, on average. It is not appropriate to interpret the slope.
B. For every pound added to the weight of the car, gas mileage in the city will decrease by________mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept.
C. For every pound added to the weight of the car, gas mileage in the city will decrease by_________mile(s) per gallon, on average. A weightless car will get
_____________ miles per gallon, on average.
D. It is not appropriate to interpret the slope or the y-intercept.
(c) A certain gas-powered car weighs 3700 pounds and gets 17 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight?
A. Above
B. Below
(d) Would it be reasonable to use the least-squares regression line to predict the miles per gallon of a hybrid gas and electric car? Why or why not?
A. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 11.
B. No, because the hybrid is a different type of car.
C. Yes, because the hybrid is partially powered by gas.
D. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 11.
In: Statistics and Probability
An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) through (d) below
(a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.
| Weight (pounds), x | Miles per Gallon, y |
|---|---|
| 3748 | 16 |
| 3834 | 16 |
| 2794 | 25 |
| 3562 | 20 |
| 3350 | 20 |
| 3016 | 24 |
| 3770 | 17 |
| 2699 | 25 |
| 3487 | 18 |
| 3870 | 16 |
| 3292 | 18 |
(Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as needed.)
(b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. (Use the answer from part a to find this answer.)
A. For every pound added to the weight of the car, gas mileage in the city will decrease by ___ mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept.
B. For every pound added to the weight of the car, gas mileage in the city will decrease by ___ mile(s) per gallon, on average. A weightless car will get ___ miles per gallon, on average.
C. A weightless car will get ___ miles per gallon, on average. It is not appropriate to interpret the slope.
D. It is not appropriate to interpret the slope or the y-intercept.
(c) A certain gas-powered car weighs 3700 pounds and gets 19 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight?
A. Below
B. Above
(d) Would it be reasonable to use the least-squares regression line to predict the miles per gallon of a hybrid gas and electric car? Why or why not?
A. No, because the hybrid is a different type of car.
B. Yes, because the hybrid is partially powered by gas.
C. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 11.
D.Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 11.
In: Statistics and Probability
Determine the required ADR to achieve the owner's goal of earning an ROI of 15%. (20 points)
| Investment | $800,000 | ||
| Debt | $1,500,000 | ||
| ROI | 20% | ||
| Interest rate | 8% | ||
| Income tax rate | 20% | ||
| Property taxes | $100,000 | ||
| Fire insurances | $30,000 | ||
| Depreciation | $200,000 | ||
| Undistributed operating expenses (fixed) | $200,000 | ||
| Undistributed operating expenses (Variable) | 5% | of total room revenue | |
| Management fee | 5% | of total room revenue | |
| Rooms department expenses (fixed) | $20,000 | ||
| Rooms department expenses (Variable) | 15% | of total room revenue | |
| Expected paid occupancy | 80% |
In: Accounting
Simulation Case Study:
Phoenix Boutique Hotel Group
Phoenix Boutique Hotel Group (PBHG) was founded in 2007 by Bree Bristowe. Having worked for several luxury resorts, Bristowe decided to pursue her dream of owning and operating a boutique hotel. Her hotel, which she called PHX, was located in an area that included several high-end resorts and business hotels. PHX filled a niche market for “modern travelers looking for excellent service and contemporary design without the frills.” Since opening PHX, Bristowe has invested, purchased, or renovated three other small hotels in the Phoenix metropolitan area: Canyon Inn PHX, PHX B&B, and The PHX Bungalows.
One of the customer service enhancements Bristowe has implemented is a centralized, toll-free reservation system. Although many customers book specific hotels online, the phone reservation system enables PBHG to find the best reservation match at all properties. It has been an excellent option for those customers who have preferences regarding the type of room, amenity options, and the best price across the four hotel locations.
Currently, three agents are on staff for the 6 a.m. to 2 p.m. call shift. The time between calls during this shift is represented in Table 1. The time to process reservation requests during this shift is in Table 2.
Table 1: Incoming Call Distribution
|
Time Between Calls (Minutes) |
Probability |
|
1 |
0.13 |
|
2 |
0.23 |
|
3 |
0.27 |
|
4 |
0.19 |
|
5 |
0.15 |
|
6 |
0.09 |
Table 2: Service Time Distribution
|
Time to Process Customer Inquiries (Minutes) |
Probability |
|
1 |
0.19 |
|
2 |
0.17 |
|
3 |
0.16 |
|
4 |
0.15 |
|
5 |
0.11 |
|
6 |
0.08 |
|
7 |
0.03 |
Bristowe wants to ensure customers are not on hold for longer than 2 minutes. She is debating hiring additional staff for this shift based on the available data. Additionally, Bristowe and PBHG will soon be featured in a national travel magazine with a circulation of over a million subscriptions. Bristowe is worried that the current operators may not be able to handle the increase in reservations. The projected increase for call distribution is represented in Table 3.
Table 3: Incoming Call Distribution
|
Time Between Calls (Minutes) |
Probability |
|
1 |
0.26 |
|
2 |
0.27 |
|
3 |
0.24 |
|
4 |
0.14 |
|
5 |
0.11 |
|
6 |
0.06 |
Bristowe has asked for your advice in evaluating the current phone reservation system. Create a simulation model to investigate her concerns. Make recommendations about the reservation agents.
|
Arrival Interval Distribution |
||||||||||||
|
Random Number Lower Limit |
Range Upper Limit |
Arrival Gap Minute |
||||||||||
|
Probability |
||||||||||||
|
0.13 |
0 |
10 |
1 |
|||||||||
|
0.23 |
11 |
31 |
2 |
|||||||||
|
0.27 |
32 |
53 |
3 |
|||||||||
|
0.19 |
54 |
73 |
4 |
|||||||||
|
0.15 |
74 |
89 |
5 |
|||||||||
|
0.09 |
90 |
99 |
6 |
|||||||||
|
Service Time Distribution |
||||||||||||
|
Random Number Lower Limit |
Range Upper Limit |
Service Time (minutes) |
||||||||||
|
Probability |
||||||||||||
|
0.19 |
0 |
19 |
1 |
|||||||||
|
0.17 |
20 |
38 |
2 |
|||||||||
|
0.16 |
39 |
56 |
3 |
|||||||||
|
0.15 |
57 |
73 |
4 |
|||||||||
|
0.11 |
74 |
86 |
5 |
|||||||||
|
0.08 |
87 |
96 |
6 |
|||||||||
|
0.03 |
97 |
99 |
7 |
|||||||||
|
Customer Number |
Random Number |
Arrival Gap |
Random Number |
Service Time |
Arrive Time |
Service Start |
Service End |
Time in System |
Time on Hold |
Time Server Idle |
Percent Utilization |
|
|
Summary for This Trial Run Average: |
||||||||||||
|
maximums |
||||||||||||
|
1 |
1 |
19 |
||||||||||
|
2 |
49 |
13 |
||||||||||
|
3 |
96 |
28 |
||||||||||
|
4 |
60 |
78 |
||||||||||
|
5 |
19 |
61 |
||||||||||
|
6 |
9 |
55 |
||||||||||
|
7 |
83 |
60 |
||||||||||
|
8 |
94 |
25 |
||||||||||
|
9 |
28 |
15 |
||||||||||
|
10 |
48 |
47 |
||||||||||
|
11 |
7 |
84 |
||||||||||
|
12 |
76 |
52 |
||||||||||
|
13 |
39 |
74 |
||||||||||
|
14 |
2 |
7 |
||||||||||
|
15 |
73 |
8 |
||||||||||
In: Statistics and Probability
In: Finance
In: Economics
3) Create a Java program that uses NO methods, but use scanner:
Write a program where you will enter the flying distance from one continent to another, you will take the plane in one country, then you will enter miles per gallon and price of gallon and in the end it will calculate how much gas was spend for that distance in miles.
Steps: 1) Prompt user to enter the name of country that you are
2) Declare variable to enter and relate to scanner.
3) Prompt user to enter the name of country where you are willing to go.
4) Declare variable to enter and relate to scanner.
5) Create scanner, also declare variable double for distance, miles Per Gallon and price Per Gallon.
6) Prompt the user to enter data of your choice for each one of them
7) Create variable ticket which calculate distance divided by multiplication of miles Per Gallon and price Per Gallon
8) Create condition that if ticket cost is less then 1000 you are flying close, if greater then 1000 and less then 5000 they are flying far, if greater then 10000 very far and son on
9) In the end display the miles from one country to another and cost of flying and how far you are flying based on conditions.
In: Computer Science
A stock has a required return of 12%; the risk-free rate is 4%; and the market risk premium is 5%. What is the stock's beta? Round your answer to two decimal places. If the market risk premium increased to 7%, what would happen to the stock's required rate of return? Assume that the risk-free rate and the beta remain unchanged. If the stock's beta is greater than 1.0, then the change in required rate of return will be less than the change in the market risk premium. If the stock's beta is equal to 1.0, then the change in required rate of return will be greater than the change in the market risk premium. If the stock's beta is equal to 1.0, then the change in required rate of return will be less than the change in the market risk premium. If the stock's beta is greater than 1.0, then the change in required rate of return will be greater than the change in the market risk premium. If the stock's beta is less than 1.0, then the change in required rate of return will be greater than the change in the market risk premium. -Select- New stock's required rate of return will be %. Round your answer to two decimal places.
In: Finance