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Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on the evaluations and graphs, and rank the functions from fastest to slowest growing.
- f(x) = x^3 - 3x^2 - 2x + 1- f(x) = e^x- f(x) = 3x - 2- f(x) = log x- f(x) = x^2 - 5x + 6
Correlation between the two variables - Evaluate the value of the correlation coefficient.
What are examples of variables that follow a binomial probability distribution? What are examples of variables that follow a Poisson distribution? When might you use a geometric probability?
A small New England college has a total of 400 students.The Math SAT is required for admission, and the mean score of all 400 students is 620. The population standard deviation is found to be 60. The formula for a 95% confidence interval yields th..
A student scores 81 on a chemistry test and 75 on a history test. For the chemistry test, the mean was 70 and the standard deviation was 20. For the history test, the mean was 65 and the standard deviation was 8.
You want to determine if your widgets from machine 1 are the same as machine 2. Machine 1 has a sample mean of 50 and a population standard deviation of 5 and a sample size of 25.
Does the sample provide sufficient evidence that the mean pH level in the water differs from 8.5? Conduct a test at the ? = .01 level. What are the upper and lower limits of the 95% confidence intervals?
What are the similarities and dissimilarities between a chi-square analysis and a correlation analysis? Suppose you conducted a study to see if there was an association between political party affiliation and whether or not someone voted.
Your company builds roads, bridges, schools and other multi-million dollar public construction projects. Competitive bids are made for the contracts to undertake these projects. For each project there are three costs:
This morning the office you are monitoring has eight office visits on the schedule. What is the probability that
Two men are carrying a girl on a large plank that is 10m long and weights 200N. If the girl on a plank weighs 445N and sits 3m from one end, how much weight must each man support?
Claims arrive at random times to the insurance company. Determine the probability that amount of total claims over period of 100 days is at least $150,000.
They are asked if they use a laptop in class to take notes. Suppose that based on the survey, 220 of the 400 students responded "yes". a) What is the value of the sample proportion ^p ? b) What is the standard error of the sample proportion?
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