Part A

Find the kinetic energy of a 1.84×10³ kg satellite in a circular orbit about the Earth, given that the radius of the orbit is 1.46×10⁴ miles.

Part B

How much energy is required to move this satellite to a circular orbit with a radius of 2.72×10⁴ miles?

Refer to the Buena School District bus data ( 2012). Select the variable referring to the number ofmiles traveled last month, and then organize these data into a frequency distribution. a. What is a typical amount of miles traveled? What is the range? b. Comment on the shape of the distribution. Are there any outliers in terms of milesdriven? c. Draw a cumulative frequency distribution. Forty percent of the buses were driven fewerthan how many miles? How many buses were driven less than 850 miles? d. Refertothevariablesregardingthebustypeandthenumberofseatsineachbus.Drawa pie chart of each variable and comment on your findings

A major automobile company claims that its New electric-powered car has an average range of more than 100 miles. A random sample of 50 new electric cars was selected to test the claim. Assume that the population standard deviation is 12 miles. A 5% level of significance will be used for the test.

A) What would be the consequences of making a Type II error in this problem?

B) Compute the Probability of making a Type II error if the true population mean is 105 miles.

C) What is the maximum probability of making a Type I error in this problem?

A manufacturer claims that the average tread life of a premium tire exceeds the average tread life of economy tire of the same size by at least 5000 miles. To test this claim, 50 pieces of each type of tires were tested under similar conditions. The premium tire had an average tread life of 43000 miles with a sample standard deviation of 2300, while economy tire had an average tread life of 37500 miles with a sample standard deviation of 1800. Test the manufacturer’s claim using a 0.05 level of significance. Calculate P-Value.

Question No 4

1. Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject H0 for the level of significance α. (Marks 1.5)

Left -tailed test

z = -1.52

α = 0.04

2. A trucking firm suspects that the mean life of a certain tire it uses is less than 35,000 miles. To check the claim, the firm randomly selects and tests 18 of these tires and gets a mean lifetime of 34,450 miles with a standard deviation of 1200 miles. At α = 0.05, test the trucking firmʹs claim. (Marks 2)

1. A SRS of 30 commuters to the Los Angeles metropolitan area are selected, and each is asked how far they commute to work each day. In the sample, the mean distance is 64 miles and the standard deviation is 12 miles. Is there evidence that the average commute to work for this population is more than 60 miles?

a. Yes, since the p-value is less than 0.05.

b. No, since the p-value is less than 0.05.

c. No, since the p-value is greater than 0.05.

d. Yes, since the p-value is greater than 0.05.

In the past few weeks we have learned that the number of miles driven has fallen due to people staying at home during the coronavirus pandemic. Insurers are offering auto insurance rebates to policyholders due to the decrease in number of miles driven. New research however indicates that this does not tell the entire driving story.

1. Although miles driven and traffic congestion are falling, both the accident rate and severity of accidents seems to be rising. Please explain what’s happening and why.  

What can be done to improve safety? Is it time to act to address this issue?

Bash Script

Write a script using while-do-done loop to convert the kilometers to miles.

- Ask the user to input the number of kilometers they need to travel.

- Display the number of equivalent miles for the number. Use formula, Kilometers = miles/0.62137

- Every time the loop runs, it should ask the user if they want to continue, if user enters “Y” or “y”, then the loop runs again, if user enters “N” or “n”, then stop the loop and print “Thank you for using this application”.

- If the user enters any other character, then display/print “Invalid entry” and break the loop.

A new van costs $25,000, has an estimated useful life of five years and an estimated salvage value of $5,000 at the end of that time. It is expected that the van will be driven 100,000 miles during its useful or service life.

The Nation Express Company purchases this van on April 1, 2019. During 2019 the van is driven 13,000 miles and during 2020 it was driven 21,000 miles. On January 1, 2021, the van is sold for $7,000.

Calculate the depreciation expense for 2019 and 2020 using:

1. Straight-line

2. Double-declining-balance

3. Units-of-production

mooth Riding Limo Company purchased a new limosine for $60,000 on April 30, 2016. The limo is expected to have a service life of 10 years or 110,000 miles and a residual value of $5,000. The limo was driven 12,000 miles in 2016 and 15,000 miles in 2017. Smooth Riding computes depreciation to the nearest whole month. Compute depreciation expense for 2016 and 2017 using the activity method Also, calculate the book value at the end of each year, 2016 and 2017. You must SHOW YOUR WORK! Points are given based on work shown and final answer.