answer all questions please!!!

The mean gas mileage for a hybrid car is

56

miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of

3.2

miles per gallon.​ (a) What proportion of hybrids gets over

62

miles per​ gallon? (b) What proportion of hybrids gets

52

miles per gallon or​ less?

left parenthesis c right parenthesis What(c) What

proportion of hybrids gets between

58

and

62

miles per​ gallon? (d) What is the probability that a randomly selected hybrid gets less than

45

miles per​ gallon?

LOADING...

Click the icon to view a table of areas under the normal curve.

​(a) The proportion of hybrids that gets over

62

miles per gallon is

nothing.

​(Round to four decimal places as​ needed.)

I have to write a c program for shipping calculator. anything that ships over 1000 miles, there is an extra 10.00 charge. I have tried everything. no matter what I put, it will not add the 10.00. please help here is my code

#include <stdio.h>
#include <stdlib.h>

int main()
{
double weight, miles, rate, total;

printf("Enter the weight of the package:");
scanf("%lf", &weight);

if (weight > 50.0) {
puts("we only ship packages of 50 pounds or less.");
return 0;

}
if ( miles > 1000 ){
total = rate + 10.00;
printf("rate is $%.2lf \n", rate);

}
printf("Enter the amount of miles it would take:");
scanf("%lf", &miles);

if (weight <= 10.0)
rate = 3.00;

else
rate = 5.00;

printf("Shipping charge is $%.2lf \n", (int)((miles + 499.0) / 500.0) * rate);
if (miles >= 1000){
("shipping charge + 10.00");
}
system("pause");
}

For the 405 highway that car pass through a checkpoint, assume the speeds are normally distributed such that μ= 61 miles per hour and δ=4 miles per hour.

Calculate the Z value for the next car that passes through the checkpoint will be traveling slower than 65 miles per hour.

Calculate the Z value for the next car that passes through the checkpoint will be traveling more than 66 miles per hour.

Calculate the probability that the next car will be traveling more that 66 miles per hour is:

QUESTION 7. The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. (8 points)

2 Points each

a. What is the probability that a randomly selected tire will have a life of no more than 50,000 miles?

b. What is the probability that a randomly selected tire will have a life of at least 47,500 miles?

c. What percentage of tires will have a life of 34,000 to 46,000 miles?

d. What is the probability that a randomly selected tire will have a life of exactly 47,500 miles?

Suppose gas costs $3 a gallon and the average car gets 28 miles per gallon. If Congress mandates that cars have to get 36 miles per gallon, by what percentage will this lower the costs of driving? If the elasticity of total miles driven (per year) with respect to the cost of driving is –1, by how much will total miles driven per year increase, assuming it is 10,000 miles at the beginning? How much will total annual gas consumption of the average car change as a result of the mandated program?

Suppose gas costs $3 a gallon and the average car gets 28 miles per gallon. If Congress mandates that cars have to get 36 miles per gallon, by what percentage will this lower the costs of driving? If the elasticity of total miles driven (per year) with respect to the cost of driving is –1, by how much will total miles driven per year increase, assuming it is 10,000 miles at the beginning? How much will total annual gas consumption of the average car change as a result of the mandated program?

A furniture factory has 2230 machine hours available each week in the cutting​ department, 1470 hours in the assembly​ department, and 2960 in the finishing department. Manufacturing a chair requires 0.3 hours of​ cutting, 0.5 hours of​ assembly, and 0.6 hours of finishing. A cabinet requires 0.8 hours of​ cutting, 0.3 hours of​ assembly, and 0.1 hours of finishing. A buffet requires 0.2 hours of​ cutting, 0.1 hours of​ assembly, and 0.9 hours of finishing. How many​ chairs, cabinets, and buffets should be produced in order to use all the available production​ capacity?

Please help and provide step by step so I can learn how to do this! Thank you :)

We are purchasing a new TV!

Let A be the event that the TV was manufactured in the U.S., B be the event that the TV has Wifi, and C the event that the customer purchased an extended warranty.

Relevant probabilities are:

P(A) = 0.75

P(B|A) = 0.9

P(B|A′) = 0.8

P(C|A ∩ B) = 0.8

P(C|A ∩ B′) = 0.6

P(C|A′ ∩ B) = 0.7

P(C|A′ ∩ B′) = 0.3

a. What is the probability that the TV was manufactured in the US, with Wifi, and the customer purchased an extended warranty?

b. What is the probability that the TV does NOT have Wifi or the customer did NOT purchase an extended warranty?

c. What is the probability that the customer purchased an extended warranty?

d. What is the probability that the TV does NOT have Wifi given that it was not manufactured in the US?

Background
Hotel One is one of the two hotels serving Dayville, a small town in the US Midwest. Fifty percent of its customers are out-of-town visitors to the local college, 30 percent are visiting Dayville for business purposes, and the remaining 20 percent of Hotel One’s customers are leisure travelers. The hotel is within one mile from campus, approximately four miles from the city center, and eight miles from the airport. It is easy to reach by car, taxi, or city bus. You are a manager of Hotel One. Your facility consists of 150 rooms, all of which are standard rooms with two double beds. Your only competitor in Dayville, The Other Hotel, has fewer rooms (100), but 20 of their rooms are luxury suites with king beds and a sofa couch (the other 80 are standard rooms with two double beds). This is the extent of the information provided to you at this point.

Assignment
In order to better understand your unit’s operating environment, you are asked to provide your estimate of the demand equation that would account for various factors that affect your customer traffic. This will be done by using regression techniques. The first step in estimating a demand equation is to determine what variables will be used in the regression. Please provide detailed answers to the following questions:
1. What do you think should be the dependent variable in your demand equation? What units of measurement for that variable are you going to adopt? Please provide a detailed explanation for these choices.
2. Please request information about up to five independent (explanatory) variables for your demand equation. For each variable you request, (i) provide reasons why you expect it to be
important for your analysis and (ii) explain the expected sign of the relationship between the proposed independent variable and your proposed dependent variable.
3. Show the exact demand equation you are proposing to estimate.

The lifetimes (in miles) of a certain brand of automobile tires is a normally distributed random variable, X, with a mean lifetime of µ = 40000 miles and standard deviation σ = 2000 miles. The manufacturer would like to offer a guarantee for free replacement of any tire that does not last a specified minimum number of miles. If the manufacturer desires to have a replacement policy that they will need to honor for only 1% of all tires they sell, what number of miles should be included in the following guarantee: “We will replace any tire free of charge if the lifetime of the tire is less than -----------------------------miles.” (That is, what is the largest value for a lifetime a tire can have and still be among the shortest 1% of all tires’ lifetimes?) Round to the nearest mile.