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A popular soft drink is sold in 2 liter (2000 ml) bottles. Because of variation in the filling process, bottles have a mean of 2000 ml and a standard deviation of 25, normally distributed.
a. If the process fills the bottle by more than 60ml, the overflow will cause a machine malfunction. What is the probability of this occurring?
b. What is the probability of underfilling the bottles by at least 30ml?
Chi square test
Find the alternative hypothesis and the null hypothesis.
Using the polynomial f(x) = x4 - x3 -x2 - x - 2 , we can also view f as an element of Z[x] , let F be an algebraically closed field containing Z3, how many distinct zeros does f have in F?
Consider a rectangular box of volume 100 cubic centimters. Suppose that the base is a rectangle with sides x centimeters and 2x centimeters. Let hx give the height of the box in centimeters and let Ax be the total area of the six sides of the box.
Carl wants to construct three rectangular dog-trainig arenas side-by-side, as shown, using a total of 340 feet of fencing. What should the overall length and width be in order to maximize the area of the three combined arenas?
Find the two mean proportionals between two cubes guaranteed by Proposition VIII-12.
How much money did Bob initially deposit into each account? Solve the equation.
The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have heights that are also approximately Normal, with mean height 69.3 inches and standard deviation 2.8 inches.
Find the sample size on normal distribution
Let X be a set of finite (positive) measure. Let C be the collection of all finite subsets of X and their complements in X. Is C an algebra of sets? Is C a σ-algebra? Explain.
Using units, explain what each means in terms of the sand dune.
The amount of credit card debt is $5,270.00 with an average APR of 15.53%. Considering the minimum monthly payment of $120.00 determine the interest.
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