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An open box is formed by cutting squares with side lengths of 4 inches from each corner of a square piece of paper. What is a side length of the original paper if the box has a volume of 784 cubic inches?
A bike wheel has a diameter of 85cm. In one day the bike wheel does 380 revolutions. How far has the bike cycled. Give your answer to the nearest metre.
From the following augmented matrix, first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations and their unknowns.
The distinct equivalence classes of an equivalence relation on a set A provide us with a decomposition of A as a union of mutually disjoint subsets. Conversely, given a decomposition of A as a union of mutually disjoint, nonempty subsets, we can d..
A swimming pool is circular with a 10-ft diameter. The depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end. Find the volume of water in the pool. (Round the answer to the nearest whol..
Use the binomial approximation to calculate the probability of accepting the batch of tiles for various values of the proportion of cracked tiles p. Draw the operating characteristic curve.
Let G be k-critical graph with respect to vertex-arboricity (k>=3). Prove that for each vertex v of G, the graph G-v is not (k-1)-critical with respect to vertex-arboricity.
The BETWEEN groups sum of squares was calculated to be 1,892.6, and the WITHIN groups sum of squares was calculated to be 14,482.9. (NOTE: These are not the mean sum of squares) Calculate the F-statistic to two decimal places.
Let V be the space of all functions from R to R. It was stated in the discussion session that this is a vector space over R. Prove axioms (VS1)=For all x,y, x+y=y+x (commutativity of addition),
The dean decides the class should have 22 women and 15 men. How many possible classes are there now? Compare the number of possible classes to the solution to (a).
Explain why a point on the boundary line cannot be used as a test point when graphing a linear inequality in two variables. Provide an example.
A sample of n=25 scores has a mean of M=65 and an estimated standard error of points. What is the sample variance?
If the perimeter of a rectangular picture frame must be less than 240 in., and the width is 28 in., what must the height of the frame be?
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