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Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 64 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. If the mean for 1 hour is 1 pound and the standard deviation is 0.2 pound, what is the probability that the amount dispensed per box will have to be increased?
What is the pythagrian theorem used for? Can it be used for other things besides triangles?
When they clean the work station independently, it takes James 10 minutes longer than Nicki. Write and solve an equation to determine the length of time that it takes each of them to the work station on their own.
A machinist makes rings by drilling a hole through the center of a sphere that has a radius 4 inches. The hole itself will have a radius of r inches. What value of r will produce a ring with a volume that is 57% of the original sphere's volume?
Based on the scenario above, calculate and interpret the probability using the Bayes Theorem and analyze the results for application to the business decision.
Data collected on the yearly demand for 50-pound bags of fertilizer at Wallace Garden Supply are shown in the following table:
Analyze the following article and write a 2 page critique on it - Find the value of sinh 4.45 to four decimal places using the exponential form. Check your result using the series for sinhx x to the sixth term.
3. Entrepreneur of a product estimates that when q units of his items produced every month, the average total profit (in thousand RM) is P ¯(q)= -1.125q+45-200/q. Find the company's maximum profit.
Find the unit vector perpendicular to each of a= 6i+2j+3k and b=3i-6j-2k
A box with its base in the xy-plane has its four upper vertices on the surface with equation z=48-3x^2-4y^2. What is the maximum possible volume.
Use calculus to find the dimension (base and height) and the area of the largest rectangle that can be inscribed in the ellipse x2/144 + y2/16 = 1
You must clearly sketch a graph of this region, and be sure to include a representative rectangle.
A ladder 14 ft long rests against a vertical wall. Let theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall.
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