(a) draw and label a sketch of the normal curve

(b) identify and shade the area of interest

(c) identify any formulas and values substituted

(d) identify the calculator command used and values entered into the calculator

(e) write your response as a decimal rounded to three places

The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 2800 miles.

Use 100,000 or -100,000 as the upper or lower bound where necessary.

a.  What is the probability a particular tire of this brand will last longer than 57,200 miles?

b.  What is the probability a particular tire of this brand will last less than 58,000 miles?

c.  What is the probability a particular tire of this brand will last between 56,850 miles and 57,300 miles?

1. A tire company produces a tire that has an average life span of 500 miles with a standard deviation of 250. The distribution of the life spans of the tires is normal. What is the probability that the tires lasts between 530 and 375 miles? (Round three decimal places)

2. A tire company produces a tire that has an average life span of 480 miles with a standard deviation of 30. The distribution of the life spans of the tires is normal. What is the probability that the tires lasts less than 430 miles? Round your answer to three decimal places

3. A tire company produces a tire that has an average life span of 480 miles with a standard deviation of 25. The distribution of the life spans of the tires is normal. What is the probability that the tires lasts greater than 498 miles? (Round three decimal places)

Chubbyville purchases a delivery van for $23,100. Chubbyville estimates that at the end of its four-year service life, the van will be worth $1,900. During the four-year period, the company expects to drive the van 109,000 miles. Calculate annual depreciation for the four year life of the van using straight line, double declining, and activity based.

1. Straight Line Method

What is Depreciation expense?

2. Double Declining Balance

3. Activity Based

Actual miles driven each year were...

19,000 miles in Year 1

31000 miles in Year 2

21000 miles in Year 3

25000 miles in Year 4

Note that actual total miles of 96,000 fall short of expectations by 13,000 miles.

PLEASE, SHOW YOUR CALCULATION!

I need to know how to calculate each of them. You may just send the picture of your note. You don't have to type each calculation.

Python - No libraries - No count() function allowed

You need to travel 100 miles via rental car. There are several cars on the lot to choose from, each with their own MPG (miles per gallon) rating. Some cars have a manual transmission, while others do not (they're automatic). The price for gas in the area is $3 per gallon. Cars that have a manual transmission get a 10% discount at the pump.

To streamline your selection, the car rental place can supply you with a dictionary that represents the cars on their lot. The keys of this dictionary are names of cars, and their values are another dictionary. The inner dictionary has a key for the MPG of this car, and a key for whether or not the car is manual.

Write a function called def cheapest(cars) that returns the name of the car that costs the least amount of money to travel 100 miles.

Here is an example (there could be more than just two cars):

cars_on_lot = {'Civic':{'mpg':40,'manual':True},'Volt':{'mpg':50,'manual':False}}

print(cheapest(cars_on_lot)) # Volt

The "Civic" gets 40 miles to the gallon and is a manual transmission. 100 miles in this car requires 2.5 gallons of gas. The manual transmission deduction is $0.75. Therefore, it costs $6.75 to travel 100 miles in this car.

The "Volt" gets 50 miles to the gallon but is not a manual transmission. 100 miles in this car requires 2 gallons of gas. There is no manual transmission deduction. Therefore, it costs $6 to travel 100 miles in this car.

Of these two options, the Volt is the cheapest car you can use to travel 100 miles.

Miles to Kilometers

ASSIGNMENT:

Write a program to convert miles to kilometers. Put the entire program in a sentinel-controlled loop that runs until the user enters a negative number. Use both a pre-test sentinel-controlled loop and a post-test sentinel-controlled loop in the program.

There are 1.6 kilometers in 1.0 mile. Store the value of 1.6 in a constant and use the constant in the calculations.

There is 1 blank line after the descriptions, and 2 blanks lines between the pre-test and the post-test parts of the program.

Use singular/plural decisions for both miles and kilometers.

There is no validation.

Example Run #1:
(bold type is what is entered by the user)

*** Using a pre-test (while) loop ***
*** This requires the initial prompt and get before the loop,
*** and the loop itself must end with a re-prompt and re-get,
*** but it doesn't require a decision inside the loop.
*************************************************************

Enter the number of miles (enter a negative number to quit): 1.0
1.0 mile is 1.6 kilometers.
Enter the number of miles (enter a negative number to quit): -1

*** Using a post-test (do) loop ***
*** This requires a decision inside the loop to see
*** if the process and output should be done,
*** but the prompt is only written once.
*************************************************************

Enter the number of miles (enter a negative number to quit): 0.625
0.6 miles is 1.0 kilometer.
Enter the number of miles (enter a negative number to quit): 5.5
5.5 miles is x.x kilometers.
Enter the number of miles (enter a negative number to quit): -1

The example run shows EXACTLY how your program input and output will look.

C Programming NO FLOATS

4).

(a) Calculate the five-number summary of the land areas of the states in the U.S. Midwest. (If necessary, round your answer to the nearest whole number.)

(b) Explain what the five-number summary in part (a) tells us about the land areas of the states in the midwest

(c) Calculate the five-number summary of the land areas of the states in the U.S. Northeast. (If necessary, round your answer to the nearest whole number.)

(d) Explain what the five-number summary in part (c) tells us about the land areas of the states in the Northeast

(d) Contrast the results from parts (b) and (d).
-----------------------------------------

5).Find the five-number summary for the data on highway mileage shown below.

the average annual miles driven per vehicle in the United States is 11.1 thousand miles, with σ ≈ 600 miles. Suppose that a random sample of 36 vehicles owned by residents of Chicago showed that the average mileage driven last year was 10.8 thousand miles. Does this indicate that the average miles driven per vehicle in Chicago is different from the national average? Use a 5% level of significance.

a. State the null and alternative hypotheses ?0: ?1:

b.What calculator test will you use? List the requirements that must be met to use this test, and indicate whether the conditions are met in this problem.

c. Run the calculator test and obtain the P-value.

d. Based on your P-value, will you reject or fail to reject the null hypothesis?

e. Interpret your conclusion from part d in the context of this problem.

A fishing boat had to travel 4 miles east and 9 miles south to avoid a storm. How much further did they travel than their original route?

A tugboat goes 24 miles upstream and 28 miles downstream in a total of 8 hours on a river that has a current of 3 mph. Find the speed of the tugboat in still water.

Write a program to calculate the time to run 5 miles, 10 miles, half marathon, and full marathon if you can run at a constant speed. The distance of a half marathon is 13.1 miles and that of a full marathon is 26.2 miles. Report the time in the format of hours and minutes. Your program will prompt for your running speed (mph) as an integer.

Write a program that displays the Olympic rings. Color the rings in the Olympic colors

Both questions are in python