Radius of Moon's orbit is 240000 miles and period of revolution is 27 days, diameter of Earth is 8000 miles and the value of gravity on its surface 32 ft/sec2. Verify the statement that the gravitational force varies inversely proportional to square of distance.

1. The ultimate BOD of a river just below a sewage outfall is 55.0 mg/L, and the DO is at a saturation value of 12.0 mg/L. The deoxygenation rate coefficient kd is 0.30/day, and the reaction rate coefficient kr is 0.90/day. The river is flowing at the speed if 52.0 miles per day. The only source of BOD on this river is this single outfall.

   1. Find the critical distance downstream at which DO is a minimum.

   2. Find the minimum DO.

   3. If a wastewater treatment plant is to be built, what fraction of the BOD would have

      to be removed from the sewage to assure a minimum of 5.0 mg/L everywhere

      downstream?

The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance.

one-tailed or two-tailed test:

State the hypotheses:

df=

tα or t value for the critical region =

s_M =   

t (test statistic)=

Decision:

A tire manufacturer claims its tires will last for 80,000 miles on average when properly maintained. To investigate this claim, a retail tire store has surveyed 49 recent customers of that particular tire and determined those tires lasted for an average of 77,470 miles. The population standard deviation is known to be 7,700 miles. Compute the value of the appropriate test statistic to test this claim.

Enter your answer as a decimal rounded to two places. Indicate a negative value with a "–" sign directly before the value.

Test statistic =

During the year 2019, Ricki, who is not self-employed and does not receive employer reimbursement for business expenses, drove her car 5,600 miles to visit clients, 10,600 miles to get to her office, and 500 miles to attend business-related seminars. All of this mileage was incurred ratably throughout the year. She spent $390 for airfare to another business seminar and $230 for parking at her office. Using the automobile expense rates in effect for 2019, what is her deductible transportation expense?

My answer - $3928 = incorrect

A Ministry of Transportation investigation on driving speed and gasoline consumption for midsize vehicles (in miles per gallon), resulted in the following data:

Speed (Miles per Hour) 55       50      25      60      `25    30     55      40      50      30

Miles per Gallon             25      26      35      21       32    30     23      25      25      28

1. Compute the covariance. ________________
2. Compute the coefficient of correlation. __________________
3. Based on (a) and (b), what conclusion can you reach about the relationship between driving speed and fuel consumption?

1. 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.

1. What would be the consequences of making a Type II error in this problem?

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

3. What is the maximum probability of making a Type I error in this problem?

A prototype automotive tire has a design life of 38,500 miles with a standard deviation of 2,500 miles. The manufacturer tests 60 such tires. On the assumption that the actual population mean is 38,500 miles and the actual population standard deviation is 2,500 miles, find the probability that the sample mean will be less than 36,000 miles. Assume that the distribution of lifetimes of such tires is normal.

(a) Let X = number of miles on a single tire. Write the question above in terms of this variable X.

(b) Using the software tool above, find the probability stated on part (a)

(c) Using the software tool above, graph the probability of stated on part (b)

2. An automobile battery manufacturer claims that its midgrade battery has a mean life of 50 months with a standard deviation of 6 months. Suppose the distribution of battery lives of this particular brand is approximately normal. On the assumption that the claims are true, find the probability that a randomly selected battery of this type will last less than 48 months. (Use the software link for every question)

(a) Let X = number of months a battery will last. Write the question above in terms of this variable X

(b) Find the probability that a single battery of this type will last less than 48 months.

(c) Find the probability that the mean of a random sample of 36 batteries will be less than 48 months.

(d) Why do you think the values from part (b) and part (c) are different? Explain.

The Fast Freight Shipping Company charges the followingrates:

Weight of Package(kilograms)         Rate per 500 miles shipped

2 kg orless                                                   $1.10

Over 2 kg but not more than6kg                   $2.20

Over 6 kg but not more than 10kg                $3.70

Over 10 kg but not more than 20kg              $4.80

Write a program that asks for the weight of the package andthe distance it is to be shipped, and then displays thecharges.

Input Validation: Do not accept values of 0 or less for theweight of the package. Do not accept weights of more than 20 kg. Do not accept distances of less than 10 miles or more than 3,000miles.

Can someone do this in PYTHON please!

Sample Outputs

3kg and 501 miles = $4.40

7kg and 501 miles = $7.40

11 kg and 501 miles = $9.60

I don't know how to get these outputs

I JUST NEED THE IF/ELIF STATEMENTS IN ORDER TO GE THESE OUTPUTS, I ALREADY HAVE THE RESTRICTIONS IN CODE

weight=int(input("enter weight"))
while weight>=21 or weight<=0:
      print("weight must be greater than 0 but less than 20 ")
      weight=int(input("enter weight"))

shippingDistance=int(input("Enter Shipping Distance"))
while shippingDistance >= 3001 or shippingDistance <= 9:
    print("Distance must be between 10 and 3000 miles")
    shippingDistance=int(input("Enter Shipping Distance"))

Burlington has tracked daily sales of coats for the three locations below:

Question Set 1. Using only the Chicago sales data, generate the following sales forecasts:

1. Naïve forecasts (using the deseasonalized sales data) for January 5th through January 30^th. You will need to adjust the sales data to remove the seasonality effects. (6pts)

2. Four-day moving average forecasts for January 8^th through January 30^th. (3pts)

3. Twelve-day moving average forecasts for January 16^th through January 30^th. (3pts)

Note that, for example, you will not be able to make a four-day moving average forecast for January 7^th since four previous sales figures are required.