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A certain plane can fly 210 mph in calm air. If the plane can travel 540 miles against the wind in the same amount of time it can travel 810 miles with the wind, then what is the rate of the wind?
If a = i + 7j + k and b = i + 13j + k , find a unit vector with positive first coordinate orthogonal to both a and b in terms of i, j, and k.
Solve the system of equations by the substitution method. State whether equation is independent, dependent, or inconsistent.
margin of error: 0.01; confidence level: 95%; from a prior study, p hat is estimated by the decimal equivalent of 69%. find the minimum sample size.
A medical equipment manufacturing company tested the reliability of blood pressure monitors. It measured the time to failure of 20 randomly sampled monitors it produced. Listed below are the 20 measurements (in months) for the time to first failur..
The form of augmented matrices.
You are designing a rectangular poster to contain 50 in^2 of printing with a 4-in. margin at the top and bottom and a 2-in. margin at each side. What overall dimensions will minimize the amount of paper used?
If A has eight unique elements and B has eight unique elements, how many one-to-one functions would there be? Also, I'd like to know how many there would be if A happened to have less elements than B or if B had less elements than A.
Conditional Probability of Drawing Different Kinds of Cards. A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting
Suppose V is a complex inner product space and T: V --> V a linear operator. Use the results from parts (a) and (b) to show V = im(T) + ker (T*) = im(T*) + ker(T).
execute a strategy out when the supernova actually occures, relative to when the chinese astronomers saw the explosion
A 292 foot television cable is to be cut into four pieces. Find the length of each piece if each successive piece is 2 feet longer than the previous one.
Create an integral whereby you are forced to use all four types of integration. Work the problem and explain why each (u-substitution, trig substitution, fractions, parts) are all needed.
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