The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 75 miles/hour and a standard deviation of 6.1 miles/hour.

(a) What proportion of passenger vehicles travel slower than 77 miles/hour?

(b) What proportion of passenger vehicles travel between 65 and 81 miles/hour?

(c) How fast do the fastest 15% of passenger vehicles travel? miles/hour

(d) Find a value k so that 50% of passanger vehicles travel at speeds within k miles/hour of 75mph. k=

(e) The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5.

The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 74.9 miles/hour and a standard deviation of 6.5 miles/hour.

(a) What proportion of passenger vehicles travel slower than 78 miles/hour?
(b) What proportion of passenger vehicles travel between 57 and 83 miles/hour?
(c) How fast do the fastest 10% of passenger vehicles travel? miles/hour
(d) Find a value k so that 45% of passanger vehicles travel at speeds within k miles/hour of 74.9mph. k=
(e) The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5.

Write in C++

Example

Enter number of miles travelled

12340

Enter number of hours in trip

460

file.txt

Miles: 12340

Hours: 460

MPH: 26.83

Question:

Write a program that does the following things:

1 ) Ask the user for number of miles travelled (should be in getData function and number of hours in trip (should be in getData function)

[Note: Use reference parameters to have access to these values in main]

2 ) Calculate the miles per hour(MPH) for the trip (should be in main)

3 ) write the miles, hours and MPH to a text file (should be in writeFile function)

[Note: Use reference parameter for writer]

Here are the functions you need       

Function name | Parameters                       | Return Type   

getData |  miles, hours   | void

writeFile | writer, miles, hours, MPH | void

A nationally branded manufacturer of tires wishes to review its warranty for its all-terrain radials. The warranty is for 40,000 miles. The distribution of tire thread life is normally distributed with a standard deviation of 6,125 miles. The manufacturer claims that the tire actually lasts more than 40,000 miles. A sample of 55 tires revealed that the mean number of miles is 41,655 miles.

a. Using a 0.02 significance level, determine the five-step hypothesis for the claim (show all steps).

10) a) A small island is 2 miles from the nearest point P of a straight shoreline. If a woman on the island can row a boat 3 miles an hour and can walk 4 miles an hour, where should the boat be landed in order to arrive at a town 10 miles down the shore from P, in the least time? b) Suppose instead that the woman uses a motorboat that goes 20 miles per hour. Then where should she land?

A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation of 7 miles. Find the probability of the following events.

A. The car travels more than 69 miles per gallon.

B. The car travels less than 61 miles per gallon.

C. The car travels between 57 and 69 miles per gallon.

(Ch5.1) WasteKing uses a fleet of trucks in its business, and wants to know how distance affects these costs. It’s Miles driven and Operating costs during the recent 5 months were as follow: in January 18,300 miles driven with the total operating cost of $11,200; in February 16,500 miles with $10,700; in March 14,500 miles with $9,600; in April 11,500 miles with $7,020; and in May 10,300 miles driven with $7,200 of operating cost. Using the high-low method, what is the variable cost per mile?

Select one:

a. All listed choices are incorrect.

b. $0.5225 rounded.

c. $0.50 rounded.

d. $0.61 rounded.

What kind of forward and backward linkages would each of the following publicly funded program might have? Comment on the number, strength, and intrinsic profitability of the linkages. Do you recommend that this initiative should be funded by the government or should it be left to the private sector?

a. Construction of a big hospital in a rural area where is no such hospital for 200 miles.

b. Creation of a large public park that from purchasing private agricultural property from private landowners.

c. Discovery and development of large deposits of natural gas

The following are quality control data for a manufacturing process at Bensdork Chemical Company. The data show the temperature in degrees centigrade at five points in time during a manufacturing cycle.

The company is interested in using control charts to monitor the temperature of its manufacturing process. Compute the upper and lower control limits for the R chart. (Round your answers to three decimal places.)

UCL= ________

LCL= _________

Compute the upper and lower control limits for the x chart. (Round your answers to three decimal places.)

UCL=________

LCL= _________