Determine angle of rotation essential in change of axes
Correct to the nearest hundredth of the degree, determine angle of rotation essential in the change of axes to rotate xy term from equation 14x^2 + 14xy + 12y^2 - 5y = 6.
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Polar equation of the ellipse with directrix x= -d can be written in form r= a(1-e^2) / (1-e cos theta). Illustrate that perihelion distance from the planet to sun is a(1 - e) and aphelion distance is a(1 + e).
Show that the above situation satisfied all four criteria for binomial probability distribution. Find out the probability that more than two patients or less or equal to 5 patients are cured.
Suppose that the probability of giving birth to a baby boy is 0.5. Find out the probability of giving birth to at least 180 boys when survey was conducted on 300 pregnant women. Draw appropriate graphs as well as label the points of interest.
Suppose that distribution of average college graduates is a bell shaped curve. A random sample of 13 students has the mean salary of $35,000 and standard deviation of $5,000. Make a 95% confidence interval for population standard deviation.
Listed below are body mass indexes (BMI) for current Miss America winners. Employ a 0.01 significance level to test the claim that recent Miss America winners are from population with mean BMI less than 20.16, which was the BMI for winners from th
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Find out the sample size required to assure with 95 percent confidence that the sample mean will not differ from population mean by more than 2 units.
A random sample of 140 forty-year-old men contains 25% smokers. Find the P-value for a hypothesis test to determine whether the percentage of forty-year-old men that smoke differs from 22%.
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