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A bowl is shaped like a hemisphere with diameter 24 cm. A ball with diameter 8 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume V of water in the bowl. Consider two cases: one in which the ball is not completely submerged and the other in which it is.
Probability : Independent Dual Probability, A student applies for two different scholarships. The probability of receiving the first scholarship is 0.3 and the probability
A worker on scaffolding 75 ft above the ground needs to lift a 450 lb bucket of cement from the ground to a point 20 feet above the ground by pulling on a rope weighing 5 lb/ft. How much work is required?
Solve this model by using graphical analysis
what is the probability of being a 3 cards,followed by a 4 ,followed by a 5,whitout replacing any of the cards? is this an independent or dependent event?
an ostrich can run at a rate of 50 miles in 60 minutes. At this rate, how long would it take an ostrich to run 15 miles?
Determine the number of points in the sample space of the possible arrangements of boys and girls.
Use the point-slope form of the linear equation to find an equation of the line with the given slope and passing through the given point. Then write the equation in standard form.
Let phi : R^2 --> R be a function given by phi(x,y) = x^3 + xy + y^3 +1 For which points p =(0,0) , p=(1/3,1/3), p =(-1/3,-1/3) is the subset phi^-1 ( phi(p)) an imbedded sub-manifold of R^2.
Probability Slips of paper marked with the numbers 1,2,3,4, and 5 are placed in a box. After mixing well, two slips are drawn.
A random sample of 740 items shows that 207 have this characteristic. With a .05 probability of committing a Type I error, test the hypothesis.
Select two samples of 20 values from the data in Data Set IV in Appendix D. Test the hypothesis that the mean heights of the buildings are equal.
Expected Value : key informaiton, After careful testing and analysis, an oil company is considering drilling in two different sites. It is estimated that site A will net $20 million if successful (probability .4) and loose $3 million if not
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