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A grain silo has a cylindrical shape. Its diameter is 14ft , and its height is 29 . What is the volume of grain that can be stored in the silo?
Susan has reason to believe that the distribution of No-Stick follows a normal curve, with a standard deviation of 4,000 packages. What is the probability that sales will be less than 81,000 packages?
John and Mary are one of the married couples at the party. If Mary wins a prize, what is the conditional probability that John will win the other prize?
Building materials for the tank cost $10 per square foot for the base and $5 per square foot for the sides. What is the cost of the least expensive tank?
Determine the probability of event A given that event B is already occurred
Calculate probability values.
Obtain (generate) a random sample of 180 numbers between 1 and 60. You may use a calculator, excel, or a table of random numbers to achieve this. Use your sample to answer the following questions.
If 1400 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
The Greeks would show that the square of side square root (11) and the rectangle of length 11 and width 1 have the same area by dividing one of them into a fi nite number of triangles and reassembling the triangles to get the other. Can you do so?..
consider a linear transformation T on R3 which reflects each vector about the line spanned by [1 2 3 ]. Find a basis B such that B-matrix of T is diagonal.
You decide to enroll in a plan that gives you a 10% discount if you make telephone calls 7pm - 6am. The per minute charge is $0.10 and the sales tax is 6%. On the first month's bill you used the phone for 130 minutes 6am - 7pm and then 400 minutes..
Suppose that E is a normed linear space, and C is a subset. Prove that C is weakly bounded if and only if C is norm bounded. Conclude that weakly convergent sequences in E are bounded.
State the domain of the following and provide a brief explanation fgor your answer: a) f(x)=sqrtx+4 b) g(x)= 2x+1/x-7 c) h(x)=3x^2+5x-3 d) l(x)=2x+3 e) m(x)=3/x^2+7
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