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A truck can be rented from Company A for $100 a day plus $0.40 per mile Company B charges $30 a day plus $0.90 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for company A a better deal than company B's.
The average time taken to produce a part at Factory A is 10 minutes. Given this, find the following probabilities. The probability that at least three minutes is taken
The dimensions of a closed rectangular box are measured as 86 cm, 61 cm, and 19 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
A moving body is opposed by a force per unit mass of value cx and resistance per unit mass value of bv^2 where x and v are the displacement and velocity of the particle at that instant. Determine the velocity of the particle in terms of x, if it s..
Determine whether the following are equal. If not, which is smaller, and why?
An electronics store receives a shipment of 30graphing calculators, including 3 that are defective. Four calculators are selected to be sent to a local high school.
The ELISA test was introduced in the mid-1980s to screen blood for the presence of AIDS antibodies
A string of length 1m is fixed at one end and a mass of 100gm is attached at the other end. The string makes 2/π rev/sec around a vertical axis through the fixed point. Find the angle of inclination of the string with the vertical.
A bag contains 4 red, 3 white, and 5 blue marbles. How many samples of 4 marbles can be drawn in which two marbles are red and 2 marbles are blue?
(1) A lottery is held to award tickets to this weekend's basketball games. The probability of winning a ticket to Friday night's game is pF. For Saturday night's game, the probability is pS. Assuming the contest for each night's tickets are run..
Compute the average permanence time of packet B in the buffer
At the point (1, -1, 1) on the surface f(x,y) = 4 - x2 -2y2, calculate a vector perpendicular to the surface and a vector tangent to the curve of steepest ascent.
A beacon on a lighthouse 2000m away from the nearest point P on a straight shoreline revolves at the rate of 10 pi radians per minute. How fast is the beam of the light moving along the shoreline when it is 500m from P?
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