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A subway train is traveling at 82 km/h when it approaches a slower train 45 m ahead traveling in the same direction at 25 km/h. If the faster train begins decelerating at 2.1 {rm{ m/s}}^2 while the slower train continues at constant speed, how soon will they collide?
A flu epidemic hits a large city. Each resident of the city is either sick, well, or a carrier. The proportion of people in each of these categories by age is given by the matrix:
A 112 ft tower is located on the side of a mountain that is inclined 20° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 72 ft downhill from the base of the tower. Find the shortest length of wire ne..
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places.
The monthly incomes of trainees at a local mill are normally distributed with a mean of $1,100 and a standard deviation of $150. find the probability that a randomly selected employee earns less than $900 a month.
The mean PCB concentration for fish the lake exceeds 5 ppb
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?
Find the p-value for each of the following hypothesis testing situations.
What was the smallest possible number of people? What are all possible numbers of people?
Suppose a given container has 2 non-working engines. Find the probability that the container will not be shipped.
If a cylindrical container is filled to a depth of d cm by pouring in V cc of liquid, what is a graph that shows d versus V?
A random sample of size 25 is taken from a normal population having a mean of 80 and a standard deviation of 5. A second random sample of size 36 is taken from a different normal population having a mean of 75 and a standard deviation of 3.
Find all triples (x, y, z) of real numbers having the following property: when any one of the numbers is added to the product of the other two, the result equals 2.
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