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An airplane is flying in the direction 148 degrees with an airspeed of 860 km/h. Because of the wind, its groundspeed and direction are, respectively, 800 km/h and 140 degrees. Find the direction and speed of the wind.
Let G be a simple graph with no isolated vertex and no induced subgraph with exactly two edges. Prove that G is a complete graph. (Please read carefully the definition of an induced subgraph before you attempt to solve it!).
Estimate the mean fill amount of a certain bottle-filling machine to within 0.05 liter. Assume that the population standard deviation is 0.17 liters. How large of a sample is needed to estimate the mean with 95% confidence?
Calculate the free end deflection caused by the load using general expression for the internal Elastic Strain Energy.
Suppose we are producing copper wire and putting the wire on spools. Each spool contains 100 feet of wire. Defects such as nicks in the wire can occur at random locations. What would be a reasonble distribution for each of the following: (a) the n..
Complex problems
A bag contains three red marbles, three green ones, one lavender one, two yellows, and four orange marbles. How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
An investor buys 200 shares of GDT at a price of $63.90 per share, pays a 2 percent commission on the purchase, and sells the 200 shares a year later for $64.00 per share with a 2 percent commission on the sale. What is the total cost of the purch..
A model of a baseball diamond is a square with a perimeter of 36 in. What is the length on the model from first base to third base? (round to the nearest whole number)
Find an equation for each of the following trig functions
What is the common meaning of the word linear? The mathematical meaning? What is a linear equation? A non-linear equation?
Gold temperatures. Gold stays solid at Fahrenheit temperatures below 1945.4°. Determine (in terms of an inequality) those Celsius temperatures for which gold stays solid.
Estimate the expected grade & variance for the course
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