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In one of Mendel's experiments with plants, 1064 offspring consisted of 787 plants with long stems. According to Mendel's theory, 3/4 of the offspring plants should have long stems. Assuming that Mendel's proportion of 3/4 is correct, find the probability of getting 787or fewer plants with long stems among 1064 offspring plants. Based on the result, is 787 offspring plants with long stems unusually low? What does the result imply about Mendel's claimed proportion of 3/4?
The temperature u in a star of conductivity 2 is inversely proportional to the distance from the center: u=(2/sqrt(x^2+y^2+z^2)). If the star is a sphere of radius 1, find the rate of heat flow outward across the surface of the star.
Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
1 imagine you are tutoring a classmate in the four algebraic processes. define each process and provide an example of
What is the order of the permutation (867)(12345) in the symmetric group S10?
Write the objective function and constraints for the linear programming problem if we want to maximize the profit? What is the solution to this linear programming problem?
A plane flies 470 miles with the wind and 340 miles against the wind in the same length of time. If the speed of the wind is 26 mph, what is the speed of the plane in still air?
The data in the Excel spreadsheet linked below provide information on the nutritional content (in grams per serving) of some leading breakfast cereals.
If the population mean is 36, are the serial killers significantly more introverted at the .05 level? Perform the appropriate one-tailed test.
a card drawn from a standard deck of playing cards. a)what is probability that it is an ace? b)what is probability tu be a face card.
A national achievement test has a normal distribution, a mean of 1000, and a standard deviation of 100. What percent, to the nearest whole percent, of the students taking the test scored above 800?
Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities
evaluate approximately the ratio of the mass of the sun to that of the earth. lunar month 27.3 days, mean radii of the earth's orbit 149000000 km and that of moon's orbit 380000 km.
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