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It is a common experience to hear the sound of a low flying airplane, and look at the wrong place in the sky to see the plane. Suppose that a plane is traveling directly toward you at a speed of 200 mph and an altitude of 3,000 feet, and you hear the sound at what seems to be an angle of inclination of 20 degrees.
At what angle should you actually look in order to see the plane? Assume the speed of sound is 1,100 ft/sec
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)?
Calculate the range, variance, inter quartile range, coefficient of variation and standard deviation.
What is the probability of rolling a total of 7 in two rolls of a standard dice if you get an even number on the first roll?
Equation of an Ellipse, Principal and Interest and Lotto Probabilities, Among the professionals you have interviewed for your article , were several state and federal government spokespersons who use linear equations in a variety of ways.
The displacement s cm of the end of a stiff spring at time t seconds is given by: s = a (e^-kt) sin 2πft. Determine the velocity and acceleration of the end of the spring after 2 seconds if a = 3, k = 0.75 and f = 20.
Let K be a normal subgroup of G, and both K and G/K are simple. Show that either K is the only nontrivial proper subgroup of G, OR G is isomorphic to K x (G/K).
Twenty scientists are seeking financial support from the National Science Foundation . Find the number of ways in which the NSF panel can select four of the twenty submitted proposals ranking
The integers 1 through 25 are arranged in a 5 x 5 array (we use each number from 1 to 25 exactly once). All that matters is which numbers are in each column and how they are arranged in the columns.
What happens if the first shot is intentionally missed? What is the better strategy shooting the deadliest one or the weakest one?
Quantitative Methods- Probabilities Problem. A country road averages 6 potholes per mile. A road crew is sent out to repair the road. Find the following probabilities. Use the appropriate table or software if you want.
If three parts are selected at random from the bin, what is the probability that exactly two are defective? I am having trouble understanding the correct equation
The plane y + z = 3 intersects the cylinder x^2 + y^2 = 5 in an ellipse. Find the parametric equations for the tangent line to this ellipse at the point (1,2,1)
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