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Question 632410: Megan's backyard has a small pound that is 15 feet by 10 feet. her mother wants to add a wooden deck pathway around the pound, so that the area of the pool and deck is 234 ft squared. how wide does the pathway need to be to fulfill Megan's mom's request?
Click here to see answer by ankor@dixie-net.com(22740)   |
Question 632417: Solve the system of equations by the Gaussian elimination method. (If the system is dependent, enter a general solution in terms of c1, c2, ... . If there is no solution, enter NO SOLUTION.)
2x + y − 3z = 4
3x + 2y + z = 2
Click here to see answer by Alan3354(69443)  |
Question 632564: Speed of sound through water caries by temperature
s=-0.0276t^2 + 9.1558t + 4354.7 (between freezing and boiling)
s= speed in feet/second, t= temperature Fahrenheit
I dropped a loud waterproof buzzer in the ocean. My friend who was 4700 feet away heard it 1 second later. What is the temperature of the water? (nearest degree fahrenheit)
Click here to see answer by nerdybill(7384)  |
Question 632566: I decide to take up alpaca farming. I will build an alpaca pan to my house. (since it is next to my house, i don't need any fencing on the side where my house is. My house is huge so I don't have to worry about that side being too short.) I have 800 feet of fencing. I am going to make a rectangular fence.
A. If I want the pen to have an area of 15,200 sq feet, what should the dimensions be?
B. If i want the pen to have an area of 100,000 sq feet, what should the dimensions be?
Click here to see answer by ankor@dixie-net.com(22740) |
Question 633011: I have a piece of cardboard, twice as long as it is wide. I will cut 4x4 suqares out of each corners, so I fold up the corners and use it as a tray. The volume of the tray will be 96 cubic inches. How large is the piece of cardboard?
Click here to see answer by graphmatics(170)  |
Question 633010: Romeo and Juilet decides to elope. Romeo measures the height of juliet's window, and realizes it is 1 foot shorter than his ladder. He places his ladder 7 feet from the bottom of the wall. How high is juleit's window?
Click here to see answer by graphmatics(170) |
Question 633201: Answer each of the following questions as concisely as possible. Show all necessary working (including graphs, if necessary) and steps to obtain maximum marks.
Scan your answer sheet as a single document and submit electronically.
Question 1: Introduction to Probability Distributions
The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and IS middle managers range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied).
What is the expected value of the job satisfaction score for senior executives?
[7 marks]
What is the expected value of the job satisfaction score for middle managers?
[7 marks]
Compute the variance of job satisfaction scores for executives and middle managers.
[7 marks]
Compute the standard deviation of job satisfaction scores for both probability
distributions.
[7 marks]
Compare the overall job satisfaction of senior executives and middle managers.
[7 marks]
Question 2: Binomial Probability Distribution
A Harris Interactive survey for InterContinental Hotels & Resorts asked respondents,
“When ravellers internationally, do you generally venture out on your own to experience culture, or stick with your tour group and itineraries?” The survey found that 23% of the respondents stick with their tour group (USA Today, January 21, 2004).
In a sample of six international ravellers, what is the probability that two will stick with their tour group?
In a sample of six international ravellers, what is the probability that at least two will stick with their tour group?
[7 marks]
In a sample of 10 international travelers, what is the probability that none will stick with their tour group?
[7 marks]
Question 3: The Normal Distribution
Assume that the test scores from a college admissions test are normally distributed, with a mean of 450 and a standard deviation of 100.
(a) What percentage of the people taking the test score between 400 and 500?
[7 marks]
(b) Suppose someone receives a score of 630. What percentage of the people taking the test score better? What percentage score worse?
[7 marks]
(c) If a particular university will not admit anyone scoring below 480, what percentage of the persons taking the test would be acceptable to the university?
[7 marks]
Question 4: Sampling Distribution
BusinessWeek surveyed MBA alumni 10 years after graduation (BusinessWeek, September 22, 2003). One finding was that alumni spend an average of $115.50 per week eating out socially. You have been asked to conduct a follow-up study by taking a sample of 40 of these MBA alumni. Assume the population standard deviation is $35.
(a) Show the sampling distribution of x ̅, the sample mean weekly expenditure for the
40 MBA alumni.
[7 marks]
(b) What is the probability the sample mean will be within $10 of the population mean?
[8 marks]
(c) Suppose you find a sample mean of $100. What is the probability of finding a sample mean of $100 or less? Would you consider this sample to be an unusually low spending group of alumni? Why or why not?
[8 marks]
Click here to see answer by solver91311(24713)  |
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