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Melvin says his average golf score is 75. Melvin lies a lot, and you claim his average score is higher than 75. So, you observe his game for a random sample of ten rounds and find that the sample mean is 78 strokes with a sample standard deviation of 4 strokes. At the .05 level should you believe Melvin or have him barred from the country club?
if the radius of a circle is 14 inches and the arc of the circle is 30 degrees. what is the area of the shaded sector in between?
Find the percentage of members spends more than $140 in a year?
What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?
Write computer code to determine the steady state temperature at the five co-ordinates in the rectangular region: (a/4,b/4), (3a/4,b/4), (a/4,3b/4), (3a/4,3b/4), (a/2,b/2) using the first 100 terms of the series solution (n = 1 to 100).
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
Identification of the Slope and y-intercept, and x-intercept of the given equation
Mr. Smith feels that each day his dog should have at least 8 units of protein, 5 units of carbohydrates, and 16 units of fat. How many cans of each dog food should he give to his dog each day to provide the minimum requirements at the least cost?
Explain the ramifications of various differences in the costs of materials, i.e. what happens to the dimensions of the box. You might want to deal with certain cases.
Problems on probability
Use the first derivative test to locate and identify all relative extrema
Prove that f(x) is continuous at every irrational point and discontinuous at every rational point. Show that f is integrable on [0,1]
Describe an algorithm that identifies the bad coin in at most three weighings and also determines whether it is heavier or lighter than the others, using only a pan balance.
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