Check out this cost equation for the cost of a cab ride when m miles are driven: C = 5.1 +2.6m. What does the 5.1 represent? What does the 2.6 represent? Solve the equation for m. Put that equation here.
Based on that formula, enter a formula in cell B2 that will give the number of miles that can be driven for the cost shown in cell A2. You will need to use grouping symbols carefully. This equation reverses the original. Here you would enter the dollars and see how many miles you can go. To know that you have the formula correct, the value in B2 should be 0 miles.
| Cost | Miles |
| $5.10 | |
| $10.00 | |
| $15.00 | |
| $20.00 | |
| $25.00 | |
| $30.00 | |
| $35.00 | |
| $40.00 | |
| $45.00 | |
| $50.00 | |
| $55.00 | |
| $60.00 | |
| $65.00 | |
| $70.00 | |
| $75.00 | |
| $80.00 | |
| $85.00 | |
| $90.00 | |
| $95.00 | |
| $100.00 |
In: Physics
The corporate average fuel economy (CAFE) standard for mileage is currently 28 miles per gallon of gasoline (the defender) for passenger cars. To conserve fuel and reduce air pollution, suppose the U.S. Congress sets the CAFE standard at 35 miles per gallon(the challenger) in 2010. An auto will emit on average 0.8 pounds of carbon dioxide (CO2) per mile driven at 28 miles per gallon, and it will emit 0.7 pounds of O2 per mile driven at 35 miles per gallon.
a. How much fuel and carbon dioxide would be saved over the lifetime of a passenger car with the new standard? Assume a car will be driven 97,000 miles over its lifetime.
b. If CO2 costs $0.02/lb to capture and sequester, what penalty does this place on the defender? Should this penalty affect the CAFE replacement analysis?
In: Economics
Using the data below, what percentage of data would you predict would be between 25 and 50 and what percentage would you predict would be more than 50 miles? Then determine the percentage of data points in the dataset that fall within each of these ranges. How do each of these compare with your prediction and why is there a difference?
Predicted percentage between 25 and 50 miles:
Actual percentage between 25 and 50 miles:
Predicted percentage of more than 50 miles:
The actual percentage of more than 50 miles:
Comparison:
Why?:
Drive
36
20
88
6
71
42
76
63
36
63
38
28
55
33
40
80
86
83
4
39
25
25
54
54
81
73
29
76
78
77
42
36
71
94
6
In: Statistics and Probability
An engineer wants to determine how the weight of a car, x, affects gas mileage, y. The following data represent the weights of various cars and their miles per gallon.
Car Weight (pounds), x Miles per Gallon,
y
A 2695 26.7
B 2975 23.6
C 3260 24.9
D 3760 23.1
E 4225 20.4
a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.
Write the equation for the least-squares regression line.
Modifying Above y with carety =__x+__
(b) Interpret the slope and intercept, if appropriate.
(c) Predict the miles per gallon of car B and compute the residual. Is the miles per gallon of this car above average or below average for cars of this weight?
D) Draw the least-squares regression line on the scatter diagram of the data and label the residual.
In: Statistics and Probability
(All answers were generated using 1,000 trials and native Excel functionality.)
Grear Tire Company has produced a new tire with an estimated mean lifetime mileage of 36,500 miles. Management also believes that the standard deviation is 5,000 miles and that tire mileage is normally distributed. To promote the new tire, Grear has offered to refund some money if the tire fails to reach 30,000 miles before the tire needs to be replaced. Specifically, for tires with a lifetime below 30,000 miles, Grear will refund a customer $1 per 100 miles short of 30,000.
| (a) | For each tire sold, what is the average cost of the promotion? |
| Round your answer to two decimal places. | |
| $ | |
| (b) | What is the probability that Grear will refund more than $25 for a tire? |
|
Round your answer to a one decimal percentage place. |
|
In: Math
I need a theater/performance/television studies expert or anyone
who's an expert in social media or Afram Studies--PLEASE!
Basically, anybody knowledgeable about this area of
expertise.
Define "Black Twitter" and provide a social media example (a
platform, incident, phenomenon, hashtag, or personality) and its
connections to the term and readings. Reference the readings of
Sarah Florini, Sanjay Sharma, or Andre Brock.
In: Psychology
Determine whether each of the following is true or false:
In the short run, insurance on your property is a fixed cost.
In the short run, the heating of your warehouse is a fixed cost.
In the long run, there are more fixed costs than in the short run.
Assume that you run a concession stand at a small movie theater selling popcorn. Each day you must pay the theater management $50, so this is your fixed cost. If you are able to sell 100 boxes of popcorn each day, the variable cost per box is $0.15. Use these figures to determine average fixed cost, average variable cost, and average total cost.
Based on the following table, where do diminishing marginal returns begin to set in? Explain.
| Machines | Daily Output |
| 1 | 300 |
| 2 | 700 |
| 3 | 1,000 |
| 4 | 1,200 |
| 5 | 1,300 |
| 6 | 1,300 |
5. If fixed costs are $100 and variable costs are $200 at an output level of 30 units, what are average fixed costs, average variable costs, and average total costs?
In: Economics
Valerie Fondl manages a Columbus, Ohio, movie theater complex called Cinema I, II, III, and IV. Each of the four auditoriums plays a different film; the schedule staggers starting times to avoid the large crowds that would occur if all four movies started at the same time. The theater has a single ticket booth and a cashier who can maintain an average service rate of 280 patrons per hour. Service times are assumed to follow an exponential distribution. Arrivals on a normally active day are Poisson distributed and average 210 per hour. To determine the efficiency of the current ticket operation, Valeri wishes to examine several queue-operating characteristics.
a. Find the average number of moviegoers waiting in line to purchase a ticket.
b. What percentage of the time is the cashier busy?
c. What is the average time that a customer spends in the system?
d. What is the average time spent waiting in line to get to the ticket window?
e. What is the probability that there are more than two people in the system? More than three people? More than four?
In: Math
1. A retail store runs an advertising campaign on a radio station. They decide to measure the effectiveness of the campaign by measuring the increase in customers compared to previous days. They choose 35 days at random, and find the average number of customers to have increased by 83.3 customers per day. Historically, the number of customers per day has a standard deviation of 17.5 customers. What is the 95% confidence interval for the population mean increase in customers?
Select one:
a. 79.51 to 87.09
b. 79.54 to 87.06
c. 77.50 to 89.10
d. 55.70 to 110.90
e. 78.42 to 88.18
2. A movie theater in a tourist destination notices that their attendance improves when it is rainy outside. For the past year, the standard deviation of movie attendance has been 6.1 people. The theater looks at the attendance of 42 movies while it was raining last month, and the average attendance was 91.2 people per showing. What is the 80% confidence interval?
Select one:
a. 89.65 to 92.75
b. 73.19 to 109.21
c. 90.00 to 92.40
d. 89.36 to 93.04
e. 91.01 to 91.39
In: Statistics and Probability
Problem #4 Mike Dreskin manages a large Los Angeles movie theater complex called Cinema I, II, III, and IV. Each of the four auditoriums plays a different film; the schedule is set so that starting times are staggered to avoid the large crowds that would occur if all four movies started at the same time. The theater has a single ticket booth and a cashier who can maintain an average service rate of 280 movie patrons per hour. Service times are assumed to follow an exponential distribution. Arrivals on a typically active day are Poisson distributed and average 210 per hour.
To determine the efficiency of the current ticket operation, Mike wishes to examine several queue operating characteristics.
(a) Find the average number of moviegoers waiting in line to purchase a ticket.
(b) What percentage of the time is the cashier busy?
(c) What is the average time that a customer spends in the system?
(d) What is the average time spent waiting in line to get to the ticket window?
(e) What is the probability that there are more than two people in the system?
In: Math