l. Find the standard deviation.

            m. Find the coefficient of variation.

            n. What is the 80^th percentile of this data set?

            o. Does this data set have any outliers? Use statistics in answering this question (not just your opinion).

            p. Would you use the Empirical rule or Chebyshev’s Theorem here and why?

            q. Based on the mean and median calculated above, would you expect this data to be symmetric, skewed to the left or skewed to the right and why?

Birth rates (births per 1000 population) for 30 randomly selected countries are given below: 44.6 39.1 46.5 20.6 15.5 12.1 41.5 12.1 36.2 30.6 12.9 47.3 33.8 47.3 39.8 42.2 14.5 21.4 19.4 16.9 27.7 17.2 14.1 11.2 33.5 13.5 34.7 37.4 36.7 45.5 a) Construct a relative frequency histogram for the data (use k = 5 intervals !!!), b) Construct a cumulative relative frequency histogram (an empirical distribution function), c) Using grouped data estimate the unknown population mean µ and the population variance. d) What is the estimate of probability that a random variable X that has generated those data, will take the value of 12.1? Explain.

At a Midwestern business school, historical data indicates that 70% of admitted MBA students ultimately join the business school’s MBA program. In a certain year, the MBA program at the University admitted 200 students.

a. Find the probability that at least 150 students ultimately join the MBA program.

b. Find the probability that no less than 135 and no more than 160 students finally join the MBA program.

c. How many students should the MBA program expect to join the program?

d. What is the standard deviation of the number of students who will join the MBA program? e. Let X be the number of students out of 200 who will join the program. Would the empirical rule apply to the probability distribution of X in this case?

Try to solve these problems using the Table method

3. Combustion analysis was performed on 1.50 g of a compound containing C, H and N to yield 3.21 g of carbon dioxide and 0.981 g of water. What is the empirical formula of this compound?

4. A 3.82-g sample of magnesium nitride is reacted with 7.73 g of water. Mg3N2 (s) + 3 H2O (ℓ) → 2 NH3 (g) + 3 MgO (s) The yield of MgO is 3.60 g. What is the percent yield in the reaction?

5. a) A beaker contains 200.0 mL of 0.250 M AgNO3. 200 mL of 0.100 M HCl(aq) is added to it. What is the NO3 − concentration in the final mixture?

b) What is the Ag+ concentration in the final mixture?

Please explain why

Until recently, many philosophers and psychologists thought that unconscious emotions are impossible. It was believed that the essence of an emotion is to be felt. However, if we are not aware of something it cannot be felt. Hence, it was concluded that we must be conscious of our emotions.

For this research project your job is to find empirical evidence supporting the existence of unconscious emotions. Your data should be distinct from anything you read in A General Theory of Love. You can find your data online, just be sure to cite your source. Once you have the data, explain why it supports the existence of unconscious emotions. In your write up, make sure to address the skeptic, that is, someone who believes there cannot be unconscious emotions.

Minimum length 500 words.

Which reaction type is the following reaction?
Hg2(NO3)2 (aq) + 2KCl (aq) → 2KNO3 (aq) + Hg2Cl2 (s)

Suppose the cafeteria decides to make tacos for lunch one day. Each taco will be made with one taco shell, two scoops of ground beef, and three sccops of salsa. If the cafeteria has 150 taco shells, 250 scoops of ground beef, and 300 scoops of salsa, how many tacos can they make?

Predict the products of the following reaction
CaCl2 (aq) + K2SO4 (aq) →

What is the net ionic equation associated with the following reaction?
2AgNO3 (aq) + BaCl2 (aq) → 2AgCl (s) + Ba(NO3)2 (aq)

Suppose you have 20.1 g of Mn. What number of moles of Mn is present?

Suppose you have 15.7 g of Mg. How many Mg atoms are present? Report your answer in scientific notation using the format of 6.022E23 for 6.022 x 1023.

Heroin has the formula C21H23NO5. What is the molar mass of heroin?

Acetylsalicylic acid (sold under the trade name Aspirin) has the formula C9H8O4. Suppose you have 47.2 of acetylsalicylic acid. How many moles of acetylsalicylic acid are present?

Balance the following equation, using the lowest combination of integer values.
[a]Ca(OH)2 + [b]H3PO4 → [c]Ca3(PO4)2 + [d]H2O
Be sure to include a "1" if "1" balances the equation.
Specified Answer for: a, Specified Answer for: b, Specified Answer for: c, Specified Answer for: d

Balance the following equation, using the lowest combination of integer values.
[a]C7H16 + [b]O2 → [c]CO2 + [d]H2O
Be sure to include a "1" if "1" balances the equation. Specified Answer for: a, Specified Answer for: b, Specified Answer for: c, Specified Answer for: d    

Magnesium hydroxide, Mg(OH)2, reacts with HCl according to the following equation.
Mg(OH)2 + 2HCl → MgCl2 + 2H2O
58.3196 g/mol 36.4606 g/mol 95.2104 g/mol 18.0152 g/mol
Given 50.6 g of Mg(OH)2 and 45 g of HCl, what is the maximum yield of MgCl2 if Mg(OH)2 is limiting?      

Magnesium hydroxide, Mg(OH)2, reacts with HCl according to the following equation.
Mg(OH)2 + 2HCl → MgCl2 + 2H2O
58.3196 g/mol 36.4606 g/mol 95.2104 g/mol 18.0152 g/mol
Given 50.6 g of Mg(OH)2 and 45 g of HCl, what is the maximum yield of MgCl2 if HCl is limiting?

Magnesium hydroxide, Mg(OH)2, reacts with HCl according to the following equation.
Mg(OH)2 + 2HCl → MgCl2 + 2H2O
58.3196 g/mol    36.4606 g/mol 95.2104 g/mol 18.0152 g/mol
Given 50.6 g of Mg(OH)2 and 45 g of HCl, what is the theoretical yield of MgCl2?

Magnesium hydroxide, Mg(OH)2, reacts with HCl according to the following equation.
Mg(OH)2 + 2HCl → MgCl2 + 2H2O
58.3196 g/mol 36.4606 g/mol 95.2104 g/mol 18.0152 g/mol

Given the theorectical yield you just calculated from the reaction of 50.6 g of Mg(OH)2 with 45 g of HCl, if your actual yield of MgCl2 is 51.4 g, what is the percentage yield?

Cyclohexane, a common laboratory solvent, is a hydrocarbon, a compound consisting only of C and H. When 2 g of cyclohexane is burned in oxygen, 6.275 g of CO2 and 2.569 g of H2O are produced. Determine the number of moles of carbon in this sample. Report your answer to 4 significant figures.

Cyclohexane, a common laboratory solvent, is a hydrocarbon, a compound consisting only of C and H. When 2 g of cyclohexane is burned in oxygen, 6.275 g of CO2 and 2.569 g of H2O are produced. Determine the number of moles of hydrogen in this sample. Report your answer to 4 significant figures.

Cyclohexane, a common laboratory solvent, is a hydrocarbon, a compound consisting only of C and H. When 2.000 g of cyclohexane is burned in oxygen, 6.275 g of CO2 and 2.569 g of H2O are produced. What is the empirical formula of cyclohexane?
The empirical formula:   C[c]H[h]
Specified Answer for: c Specified Answer for: h

Using the empirical formula you just determined in the previous problem, if a separate experiment gave 84.16 g/mol as the molar mass of cyclohexane, what is the molecular formula of cyclohexane?
The molecular formula: C[c]H[h]
Specified Answer for: c
Specified Answer for: h

Nutra-Sweet is 57.14% C, 6.16% H, 9.52% N, and 27.18% O by mass. Assuming 100 g of Nutra-Sweet, how many moles of hydrogen are present? Report your answer to 3 significant figures.

Nutra-Sweet is 57.14% C, 6.16% H, 9.52% N, and 27.18% O by mass. Assuming 100 g of Nutra-Sweet, how many moles of carbon are present? Report your answer to 4 significant figures.

Nutra-Sweet is 57.14% C, 6.16% H, 9.52% N, and 27.18% O by mass. Assuming 100 g of Nutra-Sweet, how many moles of nitrogen are present? Report your answer to 3 significant figures.

Nutra-Sweet is 57.14% C, 6.16% H, 9.52% N, and 27.18% O by mass. Assuming 100 g of Nutra-Sweet, how many moles of oxygen are present? Report your answer to 4 significant figures.

Nutra-Sweet is 57.14% C, 6.16% H, 9.52% N, and 27.18% O by mass. Find Nutra-Sweet's empirical formula.
The empirical formula:   C[c]H[h]N[n]O[o]
Specified Answer for: c Specified Answer for: h Specified Answer for: n Specified Answer for: o

Using the empirical formula you just determined in the previous problem, if Nutra-Sweet's actual molecular weight is 294.30 g/mol, what is its molecular formula?
The molecular formula: C[c]H[h]N[n]O[o]
Specified Answer for: c Specified Answer for: h Specified Answer for: n Specified Answer for: o  

At December 31, 2018, Hull-Meyers Corp. had the following investments that were purchased during 2018, its first year of operations:

No investments were sold during 2018. All securities except Security D and Security F are considered short-term investments. None of the fair value changes is considered permanent.

Required:
Compute the below table to calculate the following. (Amounts to be deducted should be indicated with a minus sign.)

Financial statements for Askew Industries for 2018 are shown below (in $000’s):

2018 Income Statement

Sales $ 8,700

Cost of goods sold (6,175 )

Gross profit 2,525

Operating expenses (1,875 )

Interest expense (150 )

Tax expense (200 )

Net income $ 300

Comparative Balance Sheets

Dec. 31

2018 2017

Assets

Cash $ 550 $ 450

Accounts receivable 550 350

Inventory 750 550

Property, plant, and equipment (net) 1,500 1,600

$ 3,350 $ 2,950

Liabilities and Shareholders’ Equity

Current liabilities $ 800 $ 550

Bonds payable 1,150 1,150

Paid-in capital 550 550

Retained earnings 850 700

$ 3,350 $ 2,950

Required:

Calculate the following ratios for 2018. (Consider 365 days a year. Do not round intermediate calculations and round your final answers to 2 decimal places.)

1. Inventory turnover ratio

2. Average days in inventory

3. receivables turnover ratio

4. Average collection period

5. Asset turnover ratio

6. Profit margin on sales

7. Return on Assets

8. Return on shareholders Equity

9. Equity multiplier

10. Return on Shareholders Equity ( using the Dupont framework)

Income statements for Benson Company for 2018 and 2019 follow: BENSON COMPANY

Income Statements 2019 2018

Sales $ 201,800 $ 181,800

Cost of goods sold 142,800 120,800

Selling expenses 21,500 19,500

Administrative expenses 12,800 14,800

Interest expense 3,300 5,300

Total expenses $ 180,400 $ 160,400

Income before taxes 21,400 21,400

Income taxes expense 6,500 3,600

Net income $ 14,900 $ 17,800

Required Perform a horizontal analysis, showing the percentage change in each income statement component between 2018 and 2019.

Perform a vertical analysis, showing each income statement component as a percentage of sales for each year.

On January 1, 2018, Coronado Corp. had 491,000 shares of common stock outstanding. During 2018, it had the following transactions that affected the Common Stock account.

February 1 Issued 114,000 shares

March 1 Issued a 10% stock dividend

May 1 Acquired 103,000 shares of treasury stock

June 1 Issued a 3-for-1 stock split

October 1 Reissued 60,000 shares of treasury stock

Determine the weighted-average number of shares outstanding as of December 31, 2018.