A tire company has developed a new type of steel-belted radial tire. Extensive testing indicates the population of mileages obtained by all tires of this new type is normally distributed with a mean of 39,531 miles and a standard deviation of 4,075 miles. The company wishes to offer a guarantee providing a discount on a new set of tires if the original tires purchased do not exceed the mileage stated in the guarantee. What should the guaranteed mileage be if the tire company desires that no more than 2 percent of the tires will fail to meet the guaranteed mileage? (Use a z-score to 2 decimal places in your intermediate calculations. Round your final answer to the nearest mile.)

Earth has a mass of 6.0 x10^24 kg and the moon 7.3 x 10^22 kg. The center of the moon is 238,900 miles from the center of Earth.

The moon goes around the Earth-Moon center of mass with a speed of 2,288 miles per hour (3,683 kilometers per hour).

a.)What is the orbital speed of Earth in the Earth-Moon center of mass frame (total momentum is zero)? Please, give your answer in meters per second.

b.) Using the formula for centripetal force, what is the force of gravity exerted by the Earth on the Moon?

c.) Using the formula for centripetal force, what is the force of gravity exerted by the Moon on Earth?

Mary Zimmerman decided to purchase a new automobile. Being concerned about environmental issues, she is leaning toward the hybrid rather than the completely gasoline four-cylinder model. Nevertheless, as a new business school graduate, she wants to determine if there is an economic justification for purchasing the hybrid, which costs $1,100 more than the regular VUE. She has determined that city/highway combined gas mileage of the Green VUE and regular VUE models are 27 and 23 miles per gallon respectively. Mary anticipates she will travel an average of 12,000 miles per year for the next several years. (Round your answers to two decimal places.

Do heavier cars really use more gasoline? suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds) and let y be the miles per gallon (mpg). The following information is based on data taken from consumer reports (Vol. 62, No.4). This correlation coefficient r indicates a ____ correlation between the weight of the car and the miles per gallon

Choose the correct answer:

A.) Positive strong

B.) Negative week

C.) Negative strong

D.) Negative moderate

Required information

Brief Exercise 9.10 Alternative Depreciation Methods (LO9-4)

[The following information applies to the questions displayed below.]

M. C. Jones purchased a truck for $30,500 to be used in his business. He is considering depreciating the truck by two methods: units-of-output (assuming total miles driven of 80,000) and double-declining-balance (assuming a 5-year useful life). The truck is expected to be sold for approximately $6,500 at the end of its useful life.

Brief Exercise 9.10 Part a

Prepare a comparison of the first year’s depreciation expense that would be recognized by Jones under these methods, assuming the truck was actually driven 10,000 miles in the first year.

A potential buyer of a sportscar is interested in the costs of a vehicle per mile travelled at net present value. The buyer is planning to sell the car after three years of operation at residual value.

The car costs £35000.00 to purchase and the buyer incurs costs for insurance, fuel and mantenance of £1400.00 per year. The car is expected to depreciate in value by £4000.00 per year (straight line depreciation). The buyer is planning to travel 17000 miles per year.

What is the total cost of ownership per mile travelled at net present value, assuming that all payments arise annually and are subject to an annual discount rate of 3%. Note that the miles travelled are not subject to discounting.

Suppose the given country road has large defects which are distributed along its length according to Poisson distribution with an average of 2 defects per mile. It takes the crew repairing these defects one full day to fix one of them. They move along the road and repair the defects as they are found.

a) If the road is 10 miles long what is the probability they will be done in three weeks (15 working days)?

b) What is the probability they will get at least to the middle of the road (i.e. advance by at least 5 miles) by the end of the second week (after 10 working days)?

c) What is the mean and standard deviation of the length of the road they will cover by the end of the second week?

For the following situations, develop the appropriate Ho and Ha and state what the consequences would be for Type 1 and Type 2 errors.

a. A company that manufactures one-half inch bolts selects a random sample of bolts to determine if the diameter of the bolts differs significantly from the required one-half inch.

b. A company that manufactures safety flares randomly selects 100 flares to determine if the flares last at least three hours on average.

c. a consumer group believes that a new sports coupe gets significantly fewer miles to the gallon than advertised on the sales sticker. To confirm this belief, they randomly select several of the new coupes and measure the miles per gallon.

Suppose the given country road has large defects which are distributed along its length according to Poisson distribution with an average of 2 defects per mile. It takes the crew repairing these defects one full day to fix one of them. They move along the road and repair the defects as they are found. a) If the road is 10 miles long what is the probability they will be done in three weeks (15 working days)? b) What is the probability they will get at least to the middle of the road (i.e. advance by at least 5 miles) by the end of the second week (after 10 working days)? c) What is the mean and standard deviation of the length of the road they will cover by the end of the second week?

A. Calculate the price of pit-run gravel delivered to the site per cubic yard (bank measure) based on the following data: The pit is located 10 miles from the site. Trucks cost $43.75 per hour including fuel and maintenance; they have 12 cubic yards (loose material) capacity and travel at an average speed of 30 miles per hour. The swell factor for this material is 15%. Trucks take 5 minutes to unload at the site. The loader costs $82.50 per hour and loads material at the pit at the rate of 40 cubic yards per hour. The truck driver’s wage is $45.00 per hour, and the equipment operator’s wage is $54.00 per hour.