1. Bowl A contains three red and two white chips, and bowl B contains four red and three white chips. A chip is drawn at random from bowl A and transferred to bowl B. Compute the probability of then drawing a red chip from bowl B.

2. Let P(A)=0.3P(A)=0.3 and P(B)=0.6P(B)=0.6. Find P(A∪B)P(A∪B) when AA and BB are indepdenent.

3. Let P(A)=0.3P(A)=0.3 and P(B)=0.6P(B)=0.6. Find P(A|B)P(A|B) when AA and BB are mutually exclusive.

5. In order to financially stimulate the nation, the Federal government injected $900 billion dollars into the economy. However, the results were less than spectacular. One reason could have been a failure to understand the marginal propensity to consume. Assume the marginal propensity to consume (MPC) was only 0.3. How much of that $900 billion went to increased consumption? Where did the rest of the money go?

Increased consumption: ________________________

Where did the rest go? _________________________

Using MPC = 0.3, what is the multiplier (the actual numerical value please):

___________________

What was the total change in spending as a result of the stimulus package?

__________________

A block with mass m =7.5 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.25 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.1 m/s. The block oscillates on the spring without friction.

After t = 0.3 s what is the speed of the block?

What is the magnitude of the maximum acceleration of the block?

At t = 0.3 s what is the magnitude of the net force on the block?

Where is the potential energy of the system the greatest?

At the highest point of the oscillation.

At the new equilibrium position of the oscillation.

At the lowest point of the oscillation.

The market and Stock J have the following probability distributions:

Calculate the expected rate of return for the market. Round your answer to two decimal places.

Calculate the expected rate of return for Stock J. Round your answer to two decimal places.

Calculate the standard deviation for the market. Do not round intermediate calculations. Round your answer to two decimal places.

Calculate the standard deviation for Stock J. Do not round intermediate calculations. Round your answer to two decimal places.

1.Aggregate demand curve of an economy is given by AD = 51 - 0.2P, the long-run aggregate supply, LRAS, is 30 and the short-run aggregate supply is given by SRAS = 0.3 P (all output measures are in US$ billions and the price level is given as an index number). What is the output gap as a percentage?

2.Aggregate demand curve of an economy is given by AD = 51 - 0.2P, the long-run aggregate supply, LRAS, is 30 and the short-run aggregate supply is given by SRAS = 0.3 P (all output measures are in US$ billions and the price level is given as an index number). What could be the unemployment rate if the natural rate of unemployment is 4%?

3. Aggregate demand curve of an economy is given by AD = 51 - 0.2P, the long-run aggregate supply, LRAS, is 30 and the short-run aggregate supply is given by SRAS = 0.3 P (all output measures are in US$ billions and the price level is given as an index number). Assume that the present status of the economy is the result of a demand shock. What should be the original price level when the economy was in equilibrium?

4.Aggregate demand curve of an economy is given by AD = 51 - 0.2P, the long-run aggregate supply, LRAS, is 30 and the short-run aggregate supply is given by SRAS = 0.3 P (all output measures are in US$ billions and the price level is given as an index number). Assume that the present status of the economy is the result of a demand shock. What should be the price level when the labor market adjusts and the economy will be in an equilibrium?

You have been given the following information about the production of Usher Co. and are asked to provide the plant manager with information for a meeting with the vice president of operations. Standard Cost Card Direct materials (5 pounds at $4 per pound) $20.00 Direct Labor (0.8 hours at $10) 8.00 Variable Overhead (0.8 hours at $3 per hour) 2.40 Fixed Overhead (0.8 hours at $7 per hour) 5.60 $36.00 The following is a variance report for the most recent period of operations. Variances Costs Total Standard Cost Price Quantity Direct materials $410,000 $2,095 F $9,000 U Direct labor 180,000 3,840 U 6,000 U (a)How man units were produced during the period? (b)How many pounds of raw materials were purchased and used during the period? (c’)What was the actual cost per pound of raw materials? (d)How many actual direct labor hours were worked during the period? (e)What was the actual rate paid per direct labor hour?

for C++

I'm trying to write a code that asks for double values and counts how many times 2 consecutive values differ by at most 1. The output on 0 should be the answer.

With inputs 1, 1.7, 0.8, -0.1, -1, 0 : it should return 4 but keeps giving me 0. This is the correct output because only 1 and 1.7 differ by at most 1 as does 1.7 and 0.8, 0.8 and -0.1, and -0.1 and -1. We do not check whether 0 is within 1 of the previous number because 0 is the input that causes us to exit.

Why is this if every time a number differs by at least one my if statement should n++?

#include <iostream>
using namespace std;

int main ()
{
   double n1, n2 = 0;
   int n = 0;

   cout << "Enter a number." << endl;
   cin >> n1;

   while (n1 != 0) {
       if ((n1 - n2) > -1 && (n1 - n2) < 1) {
           n++;
           n1 = n2;
       }
       else {
           cout << "Enter another number or 0 to end." << endl;
           cin >> n1;
       }
   }
   cout << n << endl;
  
    return 0;
}

Please read the An Inside Look at Policy article titled “Airbnb Customers to Pay Hotel Taxes” on pages 132-133. Then, provide your answer to the second “Thinking Critically” question posed. Support your responses based on what you learned in your reading assignment.

30. A popular resort hotel has 300 rooms and is usually fully booked. About 7% of the time a reservation is canceled before the 6:00 p.m. deadline with no penalty. What is the probability that at least 285 rooms will be occupied? Use the binomial distribution to find the exact value.