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The lengths of individual fish in a pond have an approximate Normal distribution with a mean of 18.6 cm and a standard deviation of 6.0 cm. A sample of 36 fish is taken. What is the standard deviation of the sampling distribution of the sample mean for the 36 fish?
The principal P is borrowed at a simple interest rate r for a period of time (t). Find the simple interest owed for the use of money. Assume 360 days in a year and round answers to the nearest cent
Computing the Volume of a regular tetrahedron of edge length 2(alpha). Explain how to compute the volume of a regular tetrahedron of edge length 2(alpha).
Please respond to the following question: Find the greatest common divisor of the following polynomials over F, the field of rational numbers:
Apply Stroke's theorem to evaluate the integral over C of (ydx + zdy + xdz), where C is the curve of intersection of the unit sphere x^2+y^2+z^2=1 and the plane x+y+z=0
Show that if @:R -> S is a ring homomorphism, then the ker(@) is an ideal of R and that @ is injective if.
alan is building a garden shaped like a rectangle with a semicircle attached to one short side. if he has 60 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?
Use the definition finition of the derivative to find f'(x) given f(x) = sqrt(x). What is the maximum height attained by the ball?
You have 80 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
Suppose demand is expressed as QD = 300 - 50P. If we want to make this equation consistent with the typical supply and demand diagram, this equation must be stated as:
Given three points, there is one line that can be drawn through them if the points are colinear. If the three points are noncolinear,there are three lines that can be drawn through pairs of points.
Determine the following values
What happens to the circumference of a circle if you double the radius? What happens if you double the diameter? What happens if you triple the radius?
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