2. A charged object called q1 (+100 C) is in the vicinity of a second charged object called q2 (-50 C). Each object has the same mass. These two objects make up a closed system.

a. At what separation distance will they electrostatically attract each other with a force of 1000 N?

b. What minimum amount of charge must be removed from object q1 and placed on object q2 so that they will begin to electrostatically repel each other? Explain your response.

c. What minimum amount of excess charge must be removed from object q2 and placed on object q1 so that they will begin to electrostatically repel each other? Explain your response.

d. Which of these two objects, if either, would exert a larger force on the other object. Explain your response.

e. What amount of mass would these particles have to have in order to make their gravitational attraction match their electrostatic attraction for a separation distance of 10 m?

Consider the data from Ms. Lloyd PE class for the 10 students in the course.

Use the data for the two variables to create the scatterplot and draw the line. Then, find the linear regression equation.

Discuss the topic about regression covered the slope, intercept, and the best point on the line that demonstrates that your regression equation represents the best-fitted line for the data. Provide tips for understanding what the regression problem is trying to teach and why such topic is important in your field (you can be creative... :)

How long did real cowboys live? One answer may be found in the book The Last Cowboys by Connie Brooks (University of New Mexico Press). This delightful book presents a thoughtful sociological study of cowboys in West Texas and Southeastern New Mexico around the year 1890. A sample of 32 cowboys gave the following years of longevity: 58 52 68 86 72 66 97 89 84 91 91 92 66 68 87 86 73 61 70 75 72 73 85 84 90 57 77 76 84 93 58 47 (a) Make a stem-and-leaf display for these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Longevity of Cowboys 4 5 6 7 8 9 7 2788 16688 02233567 44456679 011237 (b) Consider the following quote from Baron von Richthofen in his Cattle Raising on the Plains of North America: "Cowboys are to be found among the sons of the best families. The truth is probably that most were not a drunken, gambling lot, quick to draw and fire their pistols." Does the data distribution of longevity lend credence to this quote? No, these cowboys did not live long lives, as evidenced by the high frequency of leaves for stems 4 and 5 (i.e., 40- and 50-year-olds). Sort of, these cowboys lived somewhat long lives, as evidenced by the high frequency of leaves for stems 5 and 6 (i.e., 50- and 60-year-olds). Yes, these cowboys certainly lived long lives, as evidenced by the high frequency of leaves for stems 7, 8, and 9 (i.e., 70-, 80-, and 90-year-olds). 6.–/2.85 points BBUnderStat12 2.1.017. Ask Your Teacher My Notes Question Part Points Certain kinds of tumors tend to recur. The following data represent the lengths of time, in months, for a tumor to recur after chemotherapy (Reference: D.P. Byar, Journal of Urology, Vol. 10, pp. 556-561). 19 18 17 1 21 22 54 46 25 49 50 1 59 39 43 39 5 9 38 18 14 45 54 59 46 50 29 12 19 36 38 40 43 41 10 50 41 25 19 39 27 20 For this problem, use five classes. (a) Find the class width. 12 (b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Give relative frequencies to 2 decimal places.) Class Limits Class Boundaries Midpoint Frequency Relative Frequency Cumulative Frequency 1 − 12 13 − 24 25 − 36 37 − 48 49 − 60 0.5 − 12.5 12.5 − 24.5 24.5 − 36.5 36.5 − 48.5 48.5 − 60.5 6.5 18.5 30.5 42.5 54.5 6 10 5 13 8 0.14 0.24 0.12 0.31 0.19 6 10 21 34 42 (c) Draw a histogram. Maple Generated Plot Maple Generated Plot Maple Generated Plot Maple Generated Plot (d) Draw a relative-frequency histogram. Maple Generated Plot Maple Generated Plot Maple Generated Plot Maple Generated Plot (e) Categorize the basic distribution shape. uniform mound-shaped symmetrical bimodal skewed left skewed right

A multiple regression model is to be constructed to model the time spent using the internet per week among internet users. The explanatory variables are age, hours spent working per week and annual income.

Data has been collected on 30 randomly selected individuals:

a.) Find the multiple regression equation using all three explanatory variables. Assume that x₁ is age, x₂ is hours working per week and x₃ is annual income. Give your answers to 3 decimal places.

y^ = _____ + _______age + ________ hours working + ________ annual income

b.) At a level of significance of 0.05, the result of the F test for this model is that the null hypothesis (is) (is not) rejected.

c.) The value of R² for this model, to 3 decimal places, is equal to __________

d.) The value of s for this model, to 3 decimal places, is equal to _________

e.) The least significant explanatory variable in this model is:

a.) age
b.) hours working per week
c.) annual income

f.) Construct a new multiple regression model by removing the variable annual income. Give your answers to 3 decimal places.

The new regression model equation is:

y^ = ________ + _________ age + ________ hours working

g.) In the new model compared to the previous one, the value of R² (to 3 decimal places) is:

a.) increased
b.) decreased
c.) unchanged

h.) In the new model compared to the previous one, the value of s (to 3 decimal places) is:

a.) increased
b.) decreased
c.) unchanged

i.) The better model is the:

a.) original model
b.) reduced model

Tuscaloosa National Bank has two service departments, the Human Resources (HR) Department and the Computing Department. The bank has two other departments that directly service customers, the Deposit Department and the Loan Department. The usage of the two service departments’ output for the year is as follows:
   

  
The budgeted costs in the two service departments for the year are as follows:

  
Required:
Use the reciprocal-services method to allocate the budgeted costs of the HR and Computing departments to the Deposit and Loan departments. (Do not round your intermediate calculations and round final answers to the nearest dollar amount.)

3. A box contains 15 resistors. Ten of them are labeled 50 ohms and the other five are labeled 100 ohms. a. What is the probability that the first resistor is 100 ohms? b. What is the probability that the second resistor is 100 ohms, given that the first resistor is 50 ohms? c. What is the probability that the second resistor is 100ohms, given that the first resistor is 100 ohms?

4. Refer to Exercise 3. Resistors are randomly selected from the box, one by one, until a 100ohm resistor is selected. a. What is the probability that the first two resistors are both 50 ohms? b. What is the probability that a total of two resistors are selected from the box? c. What is the probability that more than three resistors are selected from the box?

Noodles and Company tested consumer reaction to two spaghetti sauces. Each of 70 judges rated both sauces on a scale of 1 (worst) to 10 (best) using several taste criteria. To correct for possible bias in tasting order, half the judges tasted Sauce A first, while the other half tasted Sauce B first. Actual results are shown below for “overall liking.”

Sauce A: 8, 1, 9, 7, 6, 2, 5, 6, 6, 5, 8, 5, 7, 6, 5, 6, 8, 2, 7, 6, 5, 7, 5, 5, 8,

5, 8, 8, 3, 7, 8, 8, 8, 6, 8, 6, 5, 5, 8, 5, 3, 6, 7, 7, 7, 5, 5, 5, 6, 6,

5, 8, 8, 6, 1, 9, 7, 5, 8, 7, 7, 8, 5, 1, 7, 7, 7, 7, 5, 7

Sauce B:

5, 8, 2, 6, 6, 5, 7, 7, 4, 6, 8, 9, 8, 8, 8, 6, 5, 7, 6, 8, 8, 8, 6, 6, 8,

3, 8, 6, 9, 5, 7, 1, 7, 8, 8, 7, 8, 1, 7, 7, 7, 6, 5, 6, 8, 5, 8, 5, 8, 5,

7, 8, 8, 5, 2, 8, 7, 7, 6, 7, 8, 8, 7, 8, 7, 6, 4, 6, 5, 5

Picture Click here for the Excel Data File

(a) Calculate the mean and standard deviation for each sample. (Round your answers to 3 decimal places.) x⎯⎯ S Sauce A

Sauce B

(b) Calculate the coefficient of variation for each sample. (Enter your answer as a percentage rounded to 1 decimal place.)

CVA

CVB

(C++) Write a program that randomly fills in 0s and 1s into a 5-by-5 matrix,prints the matrix,and finds which row and column with more 1s and display that row and column number.            

Clayton Industries is planning its operations for next year. Ronnie Clayton, the CEO, wants you to forecast the firm's additional funds needed (AFN). Data for use in your forecast are shown below. Based on the AFN equation, what is the AFN for the coming year? Dollars are in millions.

How fast, in rpm, would a 130 g , 58-cm-diameter beach ball have to spin to have an angular momentum of 0.15 kg⋅m2/s ? Express your answer using two significant figures.