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a closed box whose length is twice its width is to have a surface of 192 square inches. find the dimensions of a box when the volume is maximum.
A wire L = 16 cm long is cut into two pieces, one of length x and the other of length (L - x), Each piece is bent into the shape of a square.
On a level track the car can just go round a bend (radius=80m) at 20ms^-1. At what angle must the tracked be banked so a speed of 30ms^-1 is reached (coefficient of friction being the same)?
The cost of renting a truck is $230 per week plus a charge of $0.50 per mile driven. Write a linear equation that relates the cost C for a weekly rental in which the truck is driven x miles.
Compute the mean and variance for binomial distribution. Calculate the mean and standard deviation (by hand) for the binomial distribution with the probability of a success being 1/4, 1/2, 3/4.
a 25 year old can purchase a one year life insurance policy for 10000 at a cost of 100 past history indicates that the probability of a person dying at age 25 is 0.0015 determine the companys expected gain per policy?
the perimeter of the basketball court is 114 meters. If the length is 6 more than 2 times the width, what is the width and length?
Determine the volume of cement contained in the tank as a function of the depth of the cement.
Let L:R^n -->R^n be a linear operator on R^n. suppose that L(x) = 0 for some x does not equal 0. Let A be the matrix representing L with respect to standard basis. Show that matrix A is singular.
If 2200 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.
Probability of rolling the given sum on two dice. You are rolling a pair of dice, one red and one green. What is the probability of the following out comes
A cylinder is to be constructed so that it will have a minimum surface area while holding 128 pi cubic feet of gasoline. Determine the necessary dimmensions. Be sure to verify your answers indeed guarantee that a minimization has been accomplished..
A factory produces fuses, which are packaged in boxes of 18. Six fuses are selected at random from each box for inspection. The box is rejected if at least one of these six fuses is defective. What is the probability that a box containing nine def..
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