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The base of a solid is a circle of radius ‘ a ‘, and its verticle cross section are equilateral triangles. Find the radius of the circle if the volume of the solid is 20 cubic meters.
Solving problems on probability.
A boy who is 4 feet 2 inches tall stands near a street light that is 23 feet tall. Find a function that models the length L (in feet) of his shadow in terms of his distance d feet from the base of the street light.
The theoretical probability of undesirable side effects resulting from taking Grebex is 1 in 12. If 600 people take Grebex to lower their blood pressure, how many will encounter undesirable side effects?
At noon, ship A is 100 km west of ship B. A is sailing south at 35 km/h and B is sailing north at 25 km/h. How fast is the distance between the ships changing at 16:00 h?
With the definition that pi is the area of the unit circle, explain why pi equals 8 times the integral from 0 to 1/sqrt(2) of (sqrt(1 - x^2) - x) dx. use the Romberg algorithm to approximate the integral.
Find the probability of getting less than six correct answers.
the cost of laying pipe is $400,000/km to run pipe over land to a point P on the north bank of the river and then $800,000/km to run pipe under the river to the tanks. where should the point P be located?
Find a vector function whose graph is the curve of intersection of the elliptical cylinder (1/9)x^2 + z^2 = 1 and the parabolic cylinder y = x^2.
What is the probability that more than 10 dogs have trait D? B. What is the probability that at most 11 dogs have trait D? Binomial Distribution and Standard Deviation
What two variables have the strongest positive strength of relationship?
what is the maturity value of an inerest bearing note; the principal is 80,000 at 10% for 60 days.
Explain why vectors QR and RQ are not equivalent. Explain when the elimination method for solving a system of equations is preferable to the substitution method. Give examples.
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