The transportation sector in the United States presently runs almost exclusively on petroleum-based derivatives (gasoline, diesel, fuel). Research the following alternatives.

Hybrid

Diesel & biodiesel

Flex-fuel Ethanol

Natural gas

Propane

Hydrogen

Electric

Fuel cell

Prepare a one-page paper outlining what you believe may be viable alternatives to the use of fossil fuels. May be assigned as a team or an individual assignment.

A study was conducted to determine whether the final grade of a student in an introductory psychology course, x, is linearly related to his or her performance on the verbal ability test administered before college entrance, y. The verbal scores and final grades for 1010 students are shown in the table below.

Find the following rounded to three decimal places.

Part a:
The correlation coefficient
SSx=
SSy=
SSxy=
r=

Part b:
The equation of the least squares regression line
y^= + x

Part c:
The predicted final grade of a student with a verbal score of 50


Part d:
Should the regression equation be used to predict the final grade of a student with a verbal score of 100? (Type: Yes or No .)


Part e:
The coefficient of determination
R2=

You are saving for the college education of your two children. They are two years apart in age; one will begin college in 7 years, and another in 10 years. You estimate your first child’s college expenses to be $30,000 per year, paid at the beginning of each college year (first payment is at year 7 and so on). You estimate your second child’s college expenses to be $50,000 per year, paid at the beginning of each college year (first payment at year 10 and so on). The annual interest rate is 8 percent. How much money must you deposit in an account each year to fund your children’s education? You will begin payments one year from today. You will make your last deposit when your oldest child enters college. Also assume that each child will take 4 years to graduate from college.

$45,714.29

$35,863.17

$25,869.35

$27,938.94

None of the above

. Two firms in the same industry sell their product at $50 per unit, but one firm has TFC = $800 and AVC = $10 while the other has TFC’ = $1350 and AVC’ = 5.

a. Determine the breakeven quantity of each firm.

b. Find the degree of operating leverage for each firm at Q = 40 and Q =50.

Two psychologists are studying the IQs of a group of business professionals.

• Let A be the event that a professional's IQ is greater than 115, with P(A)=16%.
• Let B be the event that a professional's IQ is between 115 and 130, with P(B)=14%.

The IQs of different professionals are independent events. What is the probability that two random professionals will be chosen and one of their IQs is greater than 115 and the other is between 115 and 130?

Give your answer as a decimal, rounded to three decimal places.

Ex#3: Give a string of lengths, 4, 6, 8 generated by the following grammar G = (V, T, S. P).
S → 0S
S --> 0S1S
S --> λ

Using c# rewrite/edit the following program so that it runs the simulation 10,000 times (play the games 10,000 times) and count the number wins. Then calculate the winning probability by using the formula:

the expected winning probability = the number of wins / 10,000

using System;
class lottery
{
static void Main()
{
int n, random, choice = 1;
Random randnum = new Random();
  
while (choice == 1)
{
  
Console.Write("\nEnter a integer from 1 to 5:");
n = Convert.ToInt32(Console.ReadLine());
while (n < 1 || n > 5)
{
Console.Write("Invalid Input Enter again");
Console.Write("\nEnter a integer from 1 to 5:");
n = Convert.ToInt32(Console.ReadLine());
}
  
random = randnum.Next(1, 6);

if (n == random)
{
Console.WriteLine("You Won $5.");
}
else
{
Console.WriteLine("You lost $1");
}
Console.Write("1.To continue\n2.To exit\nEnter your choice:");
  
choice = Convert.ToInt32(Console.ReadLine());
  
}
}
}

Periodic Inventory by Three Methods

Dymac Appliances uses the periodic inventory system. Details regarding the inventory of appliances at January 1, purchases invoices during the next 12 months, and the inventory count at December 31 are summarized as follows:

Required:

1. Determine the cost of the inventory on December 31 by the first-in, first-out method.

If the inventory of a particular model comprises one entire purchase plus a portion of another purchase acquired at a different unit cost, use a separate line for each purchase. If units are in inventory at two different costs, enter the units PURCHASED MOST RECENTLY first.

2. Determine the cost of the inventory on December 31 by the last-in, first-out method.

If the inventory of a particular model comprises one entire purchase plus a portion of another purchase acquired at a different unit cost, use a separate line for each purchase. If units are in inventory at two different costs, enter the OLDEST units first.

3. Determine the cost of the inventory on December 31 by the weighted average cost method.

4. would be preferred for income tax purposes in periods of rising prices.

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The energy produced by a 22.1 W bulb is harnessed and used to lift a 88.5 kg weight. If there are no frictional losses and the bulb runs for 1,281 seconds, how high will the weight rise, in m?