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A box with an open top is to be constructed from a square piece of cardboard, 3 m wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. Let z denote the length of the side of the square being cut out. Let x denote the length of the base. Let y denote the width of the base. Write an expression for the volume V.
Write the complex number in rectangular form. 7(cos120degrees + i sin120degrees) =
A bullet of mass 0.04 kg travelling at 300 m/s hits a fixed wooden block and penetrates a distance of 4cm. Find the average resistance of the wood.
A lottery offers one $1000 prize, one $500 prize, five $100 prizes, and ten $10 prizes. One thousand tickets are sold. What should be the price of the ticket if the game is fair?
Describe the appropriate sampling distribution model - shape,center and spread - with attention to assumptions and conditions. Make a sketch using the 68-95-99.7 Rule.
A small gift shop is trying to determine the number of gift items it can sell to maintain a monthly revenue greater than $10,000. The revenue function for this business is R = -0.10N2 +70N, where R=monthly revenue and N=number of gift items sold p..
We observe the inventory level at the beginning of the next period. Define a period s state to be the period s beginning inventory level. Determine the transition matrix that could be used to model this inventory system as a Markov chain.
A vector can be used to represent the path of a drill tip used to bore a deep mine shaft in Sudbury one quarter of the way to the centre of the Earth. Represent the vector using a directed line segment and Cartesian co-ordinates and describe which..
Which of the following is NOT a characteristic of an ideal statistician?
Calculate the appropriate test statistic to test the hypotheses.
A surveyor fins that a tree on the opposite bank of a river, flowing due east, has a bearing of N 22 degrees 30' E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.
Find all subfields of Q ( sqrt2, sqrt 3) with proof that you have them all. What is the minimal polynomial of sqrt2+ sqrt3? Which subfields does it generate over Q?
If Jane has a part-time teacher for her economics course, what is the probability that she is taking a night class?
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