A. The electric potential at a position located a distance of 19.2 mm from a positive point charge of 7.80×10^-9C and 13.0 mm from a second point charge is 1.14 kV. Calculate the value of the second charge.

B. The potential difference between two parallel conducting plates in vacuum is 590 V. An alpha particle with mass of 6.50×10^-27 kg and charge of 3.20×10^-19 C is released from rest near the positive plate. What is the kinetic energy of the alpha particle when it reaches the other plate? The distance between the plates is 45.0 cm.

You are given an ANOVA table below with some missing entries.

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Please show your work.

A. If a normal distribution of scores has a mean of 100 and a standard deviation of 10, what percentage of scores would lie below 70? a. 0.13%. b.2.15%. c. 2.28% d. 99.87%

B. What percentage of scores lie between 85 and 100 for a normal distribution with a mean of 100 and a standard deviation of 15? a. +15% b.-15% c.34.13% d. -34.13%

C What percentage of scores lie between 70 and 80 for a normal distribution with the mean of 100 and a standard deviation of 10? a.+27% b.-13% c.-7%. d. 2.15%.

For the Chapter 4 problems, show all work in an Excel book, labeling each item by the problem number. Save the file in the format flastname_Unit_1_Learning_Activity.xlsx, where flastname is your first initial and your last name, and submit it to the appropriate Dropbox. For full credit, be sure to use appropriate formulas to solve each exercise or problem.

1. Star Inc. has Year 1 revenues of $80 million, net income of $9 million, assets of $65 million, and equity of $40 million, as well as Year 2 revenues of $87 million, net income of $22 million, assets of $70 million, and equity of $50 million. Calculate Star’s return on equity (ROE) for each year based on the DuPont method and compare it with a direct ROE measure. Next, explain why the firm’s ROE changed between Year 1 and Year 2.
2. Nextime Ltd. has operating profits (EBIT) of $87 million, a tax rate of 35%, net working capital of $129 million, and fixed assets of $285 million. Calculate Nextime’s return on invested capital, or ROIC. Then, describe three methods by which a firm can increase its ROIC.

4. Fixem Co. has revenue of $125 million, property and equipment of $42 million, and accumulated depreciation and amortization of $6 million. Estimate the fixed asset turnover ratio.
5. Wally Wholesale has revenue of $487,000, end-of-year receivables of $112,000, account payables of $70,000, and inventory of $91,000. Assume purchases equal cost of sales of $372,000. Estimate Wally Wholesale’s age of inventory, age of receivables, and age of payables.
6. Quick-E Inc.’s current assets consist of cash of $5 million, account receivables of $27 million, inventory of $37 million, and it has current liabilities of $48 million. Calculate Quick-E’s current ratio and quick ratio.
7. Deb Co. has interest-bearing debt of $122 million, non–interest-bearing debt of $33 million, and equity of $76 million. Calculate Deb Co.’s debt-to-assets, debt-to-equity, and long-term debt-to-capital ratios.
8. IOU Inc. has EBIT of $58,000, depreciation and amortization of $12,000, interest expenses of $21,000, principal repayments of $17,000, and a tax rate of 35%. Calculate IOU Inc.’s interest coverage ratio and debt service coverage ratio.

For the Chapter 4 problems, show all work in an Excel book, labeling each item by the problem number. Save the file in the format flastname_Unit_1_Learning_Activity.xlsx, where flastname is your first initial and your last name, and submit it to the appropriate Dropbox. For full credit, be sure to use appropriate formulas to solve each exercise or problem.

1. Star Inc. has Year 1 revenues of $80 million, net income of $9 million, assets of $65 million, and equity of $40 million, as well as Year 2 revenues of $87 million, net income of $22 million, assets of $70 million, and equity of $50 million. Calculate Star’s return on equity (ROE) for each year based on the DuPont method and compare it with a direct ROE measure. Next, explain why the firm’s ROE changed between Year 1 and Year 2.
2. Nextime Ltd. has operating profits (EBIT) of $87 million, a tax rate of 35%, net working capital of $129 million, and fixed assets of $285 million. Calculate Nextime’s return on invested capital, or ROIC. Then, describe three methods by which a firm can increase its ROIC.

4. Fixem Co. has revenue of $125 million, property and equipment of $42 million, and accumulated depreciation and amortization of $6 million. Estimate the fixed asset turnover ratio.
5. Wally Wholesale has revenue of $487,000, end-of-year receivables of $112,000, account payables of $70,000, and inventory of $91,000. Assume purchases equal cost of sales of $372,000. Estimate Wally Wholesale’s age of inventory, age of receivables, and age of payables.
6. Quick-E Inc.’s current assets consist of cash of $5 million, account receivables of $27 million, inventory of $37 million, and it has current liabilities of $48 million. Calculate Quick-E’s current ratio and quick ratio.
7. Deb Co. has interest-bearing debt of $122 million, non–interest-bearing debt of $33 million, and equity of $76 million. Calculate Deb Co.’s debt-to-assets, debt-to-equity, and long-term debt-to-capital ratios.
8. IOU Inc. has EBIT of $58,000, depreciation and amortization of $12,000, interest expenses of $21,000, principal repayments of $17,000, and a tax rate of 35%. Calculate IOU Inc.’s interest coverage ratio and debt service coverage ratio.

b. Find three rational numbers between 1/9
and 0. 12 overbar

The data below were obtained in a study on the number of absences and the final grades (in percentages) of seven randomly selected students in a statistics class. Number of absences 6 2 15 9 12 5 8 Final grade 82 86 43 74 58 90 65 (2 4 6 8 10 12 14 5 0 6 0 7 0 8 0 9 0 absences g ra d e s) (this is just the scattered plot which i could not place here)

3 a) Consider the scatterplot of the data above and describe the association between the number of absences and the final grade. Is linear regression appropriate here?

b) Perform linear regression analysis in SPSS. Write down the linear regression equation that relates the final grades and the number of absences.

c) A 90% confidence interval for x = 10 is (58.996, 69.897). Interpret it.

d) Find a 95% confidence interval for the slope of the regression line.

e) Interpret the slope of the regression line.

f) Interpret the y-intercept of the regression line.

g) What assumptions do you need for performing the linear regression analysis in part b)?

A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with different wattages. Here are the results.

1. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Round your answer to 4 decimal places.) 2. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.100 significance level. (Round intermediate calculations and final answer to 3 decimal places.) H₀: ρ ≤ 0; H₁: ρ > 0 Reject H₀ if t > 1.330 3. Develop the regression equation for effective heating based on wattage. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) 4.  Which heater looks like the “best buy” based on the size of the residual? (Round residual value to 3 decimal places.)

7. Trautwein and Ammerman are curious how the CI group compares to the norm on CLS at the end of the study.

a. What inferential test should the researchers use? Why?

b. What are the independent and dependent variables?

c. Using the A-B-C-D format used in class, answer Drs. Trautwein and Ammerman’s research question.