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The hunt for Red October is on! (Remember the 1990 Sean Connery- AlecBaldwin movie?) Two surface ships, the HMS Repulse and the USS Bedford maneuver to try to determine the submarine's course and speed. With the information a P- 3 Orion antisubmarine aircraft can prepare to intercept the Red October. The Repulse is located at (4, 0, 0) whereas the Bedford is located at (0,5, 0). All coordinates are given in thousands of feet. The sonar from the Repulse locates the submarine in the direction of the vector 2i+ 3j- (1/3)k, and the Bedford locates Red October in the direction of the vector 18i- 6j- k. Four minutes ago the submarine was located at (2,-1,-1/3). The Orion flies at an elevation 1,000 feet and is due in 20 minutes. Assuming that Red Octobermoves in a straight line at a constant speed, to what coordinates should the surface ships direct the aircraft? Do not "sink" the plane.=
If many samples of size 15 (that is, each sample consists of 15 items) were taken from a large normal population with a mean of 18 and variance of 5, what would be the mean, variance, standard deviation and shape of the distribution of sample mean..
Find the number of significant digits in each of the following
Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A = 27x - x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the neare..
Calculate the volume of the material
1) Suppose that the weight of navel oranges is normally distributed with mean μ = 8 ounces, and standard deviation δ = 1.5 ounces. A random sample of 15 oranges is taken. What is the probability that: A) the average weight of oranges in the selecte..
Find the critical value for this hypothesis test.
a researcher is interested in whether students who attend private elementary schools do any better on s standard test
Prove that the order of the Galios group of the extension Q(e2iπ/17) is equal to 16.
On standard IQ tests, the mean is 100, with a standard deviation of 15. The results are very close to fitting a normal curve. Suppose an IQ test is given to a very large group of people. Find the percent of those people
A searchlight is shaped like a paraboloid of revolution. If the light source is located 5 feet from the base along the axis of symmetry and the opening is 8 feet across, how deep should the searchlight be?
Suppose P = ? Pij ? is the transition probability matrix of an irreducible recurrent Markov chain {Xn}. Use the supermartingale convergence theorem (see Remark 5.1) to show that every nonnegative solution y={y(i)} to the system of inequalities , (MIS..
From city A to city B, a plane flies 650 miles at a bearing of 48 degrees. From city B to city C, the plane flies 810 miles at a bearing of 115 degrees. Find the distance from city A to city C and the bearing from city A to city C?
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