he amount of pollutants that are found in waterways near large cities is normally distributed with mean 10 ppm and standard deviation 1.5 ppm. 36 randomly selected large cities are studied. Round all answers to 4 decimal places where possible.

1. For the 36 cities, find the probability that the average amount of pollutants is less than 10.6 ppm.
2. Find the IQR for the average of 36 cities. Round to two decimal places.
   Q1 =  ppm
   Q3 =  ppm
   IQR:  ppm

1) a negatively charged rod is brought near a second rod that is neutral and suspended from a non conducting spring. The second rod begins to move toward the negative rod, showing attraction of the two rods. after the first rod is removed, the second rod... a) has no net charge. b) has a positive net charge. c) has a negative net charge. d) is polarized with one positive and one negative end

2) An isolated solid metal sphere that sits on an insulating stand is given a net charge of -10 uC. Which of the following statements best describes the charged sphere? A) the net charge will be evenly throughout the volume (B) The net charge will be distributed evenly over the surface of the sphere (C) The net charge will concentrate on the side of the sphere near the insulating stand D) The net charge will be distributed evenly, with half the charge on the outside of the sphere, and half the charge on the inside.

3) Four equally charged positive particles are held in position in a square arrangement, so that each side of the square has a length R. What is the net force on an electron placed in the center of the square? .a) F= 3kq^2/R2 (B) F=4kq^2/R2 C) F=sqrt2 Kq^2/r^2 (D) 0

4) In a laboratory, an oil droplet carrying a two-electron charge is observed to hover between electrically charged plates so that the electric force upward is equal to the gravitational force downward. Which of the following expressions can be used to determine the mass of the oil droplet?

5) The theoretical distance of an electron (in its ground state) from the proton nucleus of a hydrogen atom is called the Bohr radius, which is approximately 5.29 X 10-11 m. What is the electric force of the proton on the electron at this distance?

Near the time of an election, a cable news service performs an opinion poll of 900 probable voters. It shows that the Republican contender has an advantage of 51% to 49%.
a. Develop a 98% confidence interval for the proportion favoring the Republican candidate. (Round your answers to 3 decimal places.)

b. Estimate the probability that the Democratic candidate is actually leading. (Round your answer to 4 decimal places.)

c. Repeat the above analysis based on a sample of 4,600 probable voters. (Round your interval to 3 decimal places and Probability to 4 decimal places.)
Confidence interval and Probability

Martha lives near a paper mill. If she is concerned about the effects of the air pollution from the plant, she should contact which regulatory agency?

Which of the following statements is true?

Joe works in a factory producing chemicals used in paint manufacturing. If he is concerned about the effects of the chemicals that he works with on his health, he should contact which regulatory agency?

On a page turned sideways draw a horizontal line to represent the axis. Near the middle of this line, draw a 3 cm arrow to represent an image created by some lens not yet drawn. At a distance 2 cm to the right of this image, draw a 2 cm arrow to represent the object that produced this image (Both arrows should point up).

1. Use ray 2 to figure out the only place the lens can be placed to produce the image

1. In the demonstration where a magnet is brought near a loop, what determines the induced current?

2.

Which describes the flux of a magnetic field that is tangent to a section on a closed surface?

3. Which is true about the emf induced in a loop by a magnet?

4. When the magnetic flux through a loop increases, which is true about the induced current?

5. In the demonstration where a loop is pulled out of a magnetic field at constant speed, which is true about the power of your force?

Near the end of 2017, the management of Dimsdale Sports Co., a merchandising company, prepared the following estimated balance sheet for December 31, 2017.

To prepare a master budget for January, February, and March of 2018, management gathers the following information.

The company’s single product is purchased for $30 per unit and resold for $55 per unit. The expected inventory level of 5,000 units on December 31, 2017, is more than management’s desired level, which is 20% of the next month’s expected sales (in units). Expected sales are: January, 7,000 units; February, 9,000 units; March, 11,000 units; and April, 10,000 units.

Cash sales and credit sales represent 25% and 75%, respectively, of total sales. Of the credit sales, 60% is collected in the first month after the month of sale and 40% in the second month after the month of sale. For the December 31, 2017, accounts receivable balance, $125,000 is collected in January and the remaining $400,000 is collected in February.

Merchandise purchases are paid for as follows: 20% in the first month after the month of purchase and 80% in the second month after the month of purchase. For the December 31, 2017, accounts payable balance, $80,000 is paid in January and the remaining $280,000 is paid in February.

Sales commissions equal to 20% of sales are paid each month. Sales salaries (excluding commissions) are $60,000 per year.

General and administrative salaries are $144,000 per year. Maintenance expense equals $2,000 per month and is paid in cash.

Equipment reported in the December 31, 2017, balance sheet was purchased in January 2017. It is being depreciated over eight years under the straight-line method with no salvage value. The following amounts for new equipment purchases are planned in the coming quarter: January, $36,000; February, $96,000; and March, $28,800. This equipment will be depreciated under the straight-line method over eight years with no salvage value. A full month’s depreciation is taken for the month in which equipment is purchased.

The company plans to buy land at the end of March at a cost of $150,000, which will be paid with cash on the last day of the month.

The company has a working arrangement with its bank to obtain additional loans as needed. The interest rate is 12% per year, and interest is paid at each month-end based on the beginning balance. Partial or full payments on these loans can be made on the last day of the month. The company has agreed to maintain a minimum ending cash balance of $25,000 at the end of each month.

The income tax rate for the company is 40%. Income taxes on the first quarter’s income will not be paid until April 15.

Required:
Prepare a master budget for each of the first three months of 2018; include the following component budgets:

6. Monthly cash budgets.
7. Budgeted income statement for the entire first quarter (not for each month).
8. Budgeted balance sheet as of March 31, 2018.

In 2008 there was a near financial panic. Describe how a financial panic can occur in the context of the Depression of 1929 and Great Recession of 2007. What does the US Government provide do that provides stability in the financial sector? Lastly, because of this stability, what problems or outcomes are seen because of this stability?

Near the end of 2019, the management of Dimsdale Sports Co., a merchandising company, prepared the following estimated balance sheet for December 31, 2019.

To prepare a master budget for January, February, and March of 2020, management gathers the following information.

1. The company’s single product is purchased for $30 per unit and resold for $59 per unit. The expected inventory level of 4,750 units on December 31, 2019, is more than management’s desired level, which is 20% of the next month’s expected sales (in units). Expected sales are January, 6,750 units; February, 8,750 units; March, 10,750 units; and April, 10,000 units.
2. Cash sales and credit sales represent 20% and 80%, respectively, of total sales. Of the credit sales, 61% is collected in the first month after the month of sale and 39% in the second month after the month of sale. For the December 31, 2019, accounts receivable balance, $125,000 is collected in January 2020 and the remaining $395,000 is collected in February 2020.
3. Merchandise purchases are paid for as follows: 20% in the first month after the month of purchase and 80% in the second month after the month of purchase. For the December 31, 2019, accounts payable balance, $65,000 is paid in January 2020 and the remaining $285,000 is paid in February 2020.
4. Sales commissions equal to 20% of sales are paid each month. Sales salaries (excluding commissions) are $66,000 per year.
5. General and administrative salaries are $156,000 per year. Maintenance expense equals $1,900 per month and is paid in cash.
6. Equipment reported in the December 31, 2019, balance sheet was purchased in January 2019. It is being depreciated over eight years under the straight-line method with no salvage value. The following amounts for new equipment purchases are planned in the coming quarter: January, $40,800; February, $91,200; and March, $28,800. This equipment will be depreciated under the straight-line method over eight years with no salvage value. A full month’s depreciation is taken for the month in which equipment is purchased.
7. The company plans to buy land at the end of March at a cost of $165,000, which will be paid with cash on the last day of the month.
8. The company has a working arrangement with its bank to obtain additional loans as needed. The interest rate is 12% per year, and interest is paid at each month-end based on the beginning balance. Partial or full payments on these loans can be made on the last day of the month. The company has agreed to maintain a minimum ending cash balance of $16,000 at the end of each month.
9. The income tax rate for the company is 39%. Income taxes on the first quarter’s income will not be paid until April 15.

Required:
Prepare a master budget for each of the first three months of 2020; include the following component budgets.

1. Monthly sales budgets.
2. Monthly merchandise purchases budgets.
3. Monthly selling expense budgets.
4. Monthly general and administrative expense budgets.
5. Monthly capital expenditures budgets.
6. Monthly cash budgets.
7. Budgeted income statement for the entire first quarter (not for each month).
8. Budgeted balance sheet as of March 31, 2020.