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A supplier of wire cables has determined that the strength of the cables has a normal distribution with mean= 2,000 pounds and standard deviation= 60 pounds. The manager of a construction project has ordered 4000 cables. If the cables to be delivered are selected at random, how many of the cables are expected to have a strength less than 1910 pounds?
Find the directional derivative at P(-2,2,-1) in the direction of Q(18,-2,4). Find the direction of maximum decrease at P. (your answer does not have to be unit vector.) What is the maximum rate of decrease?
A fence is being built to enclose a backyard. The yard is 150 ft wide by 325 ft long. The back of the house will act as on side of the fence. Fencing sells for 13.00 dollars per ft. How much will the fencing cost?
Find the median number of newspapers sold.
Suppose p3 represents the proportion of patients who showed improvement after one month of therapy three times a week and p2 represents the proportion of patients who showed improvement after one month of therapy twice a week. A 95% confidence int..
A rancher has 300 feet of fencing with which to enclose two adjacent rectangular corrals. What dimensions should be used so that the enclosed area will be a maximum?
A particle is moving along the curve y= 3 sqrt{4 x + 9}. As the particle passes through the point (4, 15), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this ..
(a) Before 1918, in a random sample of 12 wolves spotted in the region, what is the probability that 9 or more were male?
A taxi driver knows from past experience that the number of fairs he will pick up during an evening is a random variable which has the mean 25.6 and S.D 4.2 .Find the probabilities that the driver will pick up.
A baseball diamond has the shape of a square with sides of 90ft long. A player 30ft from third base is sunning at a speed 28 feet/sec. At what rate is the player's distance from home plate changing.
Write Boolean expression & draw the gate logic diagram & typical PLC logic ladder diagram for a control system wherein a fan is to run only when all of the following conditions are met:
A box contains 4 green, 10 red, 6 yellow, and 5 blue marbles. Four marbles are drawn from the box without replacement. What is the probability that you get one marble of each color?
Draw a picture of every tree with 1, 2, 3, 4, 5, or 6 vertices. Just include one copy of each tree - that is to say you should eliminate any trees that are isomorphic to others on your list.
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