A fire chief wants to relate the amount of fire damage in major residential fires to the distance between the residence and the nearest fire station in order to get approval to add a fire station. The chief performs a study using a sample of fifteen recent fires in the town. The following table shows the result of the study.

a. Is there a strong or weak correlation between distance and dollar loss? What is the correlation between the two?
b. What is the estimated dollar loss if the distance of the fire station was 10 miles, 5 miles, and 2.5 miles.

The cost in dollars of operating a jet-powered commercial airplane Co is given by the following equation
Co = k*n*v^(3/2)
where
n is the trip length in miles,
v is the velocity in miles per hour, and
k is a constant of proportionality.
It is known that at 590 miles per hour the cost of operation is $300 per mile. The cost of passengers' time in dollars equals $226,000 times the number of hours of travel. The airline company wants to minimize the total cost of a trip which is equal to the cost of operating plus the cost of passengers' time.
At what velocity should the trip be planned to minimize the total cost?
HINT: If you are finding this difficult to solve, arbitrarily choose a number of miles for the trip length, but as you solve it, you should be able to see that the optimal velocity does not depend on the value of n​

Suppose your vehicle’s speedometer is geared to accurately give your speed only using a certain tire size: 17” diameter wheels (the metal part) and a 6.5” tires (thickness of rubber part).

a. If your vehicle’s instruments are properly calibrated, how many times should your tire rotate per second if you are travelling at 55 miles per hour?

b. Now find the angular speed from part a.

c. Suppose you bought new 7.1” tires for your 17” diameter wheels. You took the for a test run and drove at a constant speed of 55 miles per hour (according to your vehicle’s instrument). However, a law enforcement officer stopped you and claimed that you were speeding in a 55 miles per hour zone. How fast did the officer’s radar clock you at, in miles per hour?

The following table gives the total area in square miles​ (land and​ water) of seven states. Complete parts​ (a) through​ (c).

You are interested in finding a 98% confidence interval for the average commute that non-residential students have to their college. The data below show the number of commute miles for 10 randomly selected non-residential college students. Round answers to 3 decimal places where possible.

a. To compute the confidence interval use a

distribution.

b. With 98% confidence the population mean commute for non-residential college students is between and miles.

c. If many groups of 10 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of commute miles and about percent will not contain the true population mean number of commute miles.

Ryan is self-employed. This year Ryan used his personal auto for several long business trips. Ryan paid $2,800 for gasoline on these trips. His depreciation on the car if he was using it fully for business purposes would be $3,000. During the year, he drove his car a total of 15,600 miles (a combination of business and personal travel). (Do not round intermediate calculations. Round your final answer to the nearest dollar amount.)

a. Ryan can provide written documentation of the business purpose for trips totaling 4,680 miles. What business expense amount can Ryan deduct (if any) for these trips?

b. Ryan estimates that he drove approximately 2,225 miles on business trips, but he can only provide written documentation of the business purpose for trips totaling 1,450 miles. What business expense amount can Ryan deduct (if any) for these trips?

You are interested in finding a 95% confidence interval for the average commute that non-residential students have to their college. The data below show the number of commute miles for 12 randomly selected non-residential college students. Round answers to 3 decimal places where possible. 8 7 25 13 23 26 6 6 6 28 8 12 a. To compute the confidence interval use a distribution. b. With 95% confidence the population mean commute for non-residential college students is between and miles. c. If many groups of 12 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of commute miles and about percent will not contain the true population mean number of commute miles.

You are interested in finding a 90% confidence interval for the average commute that non-residential students have to their college. The data below show the number of commute miles for 11 randomly selected non-residential college students. Round answers to 3 decimal places where possible. 25 21 26 6 25 14 26 24 7 10 14 a. To compute the confidence interval use a distribution. b. With 90% confidence the population mean commute for non-residential college students is between and miles. c. If many groups of 11 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of commute miles and about percent will not contain the true population mean number of commute miles.

perform each of the following steps:

a) Read the problem statement.

b) Formulate the algorithm using pseudocode and top-down, stepwise refinement.

c) Define the algorithm in JavaScript.

d) Test, debug and execute the JavaScript.

e) Process three complete sets of data.

Drivers are concerned with the mileage obtained by their automobiles. One driver has kept track of several tankfuls of gasoline by recording the number of miles driven and the number of gallons used for each tankful. Develop a script that will take as input the miles were driven and gallons used (both as integers) for each tankful. The script should calculate and output HTML5 text that displays the number of miles per gallon obtained for each tankful and prints the combined number of miles per gallon obtained for all tankfuls up to this point. Use prompt dialogs to obtain the data from the user.

Find the maximum value and minimum value in milesTracker. Assign the maximum value to maxMiles, and the minimum value to minMiles. Sample output for the given program:

Min miles: -10
Max miles: 40

#include <iostream>
using namespace std;

int main() {
const int NUM_ROWS = 2;
const int NUM_COLS = 2;
int milesTracker[NUM_ROWS][NUM_COLS];
int i;
int j;
int maxMiles = -99; // Assign with first element in milesTracker before loop
int minMiles = -99; // Assign with first element in milesTracker before loop
int value;

for (i = 0; i < NUM_ROWS; i++){
for (j = 0; j < NUM_COLS; j++){
cin >> value;
milesTracker[i][j] = value;
}
}

/* Your solution goes here */

cout << "Min miles: " << minMiles << endl;
cout << "Max miles: " << maxMiles << endl;

return 0;
}