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A spotlight creates a circle on a smooth surface. The radius of the circle is 15 feet. Rounding to the nearest foot, find the length of a square with the same area as the circle.
Mean and variance explained in this solution. A school is sending 11 children to a camp. If 25% of the children in the school are first graders
Prove that a graph G is a forest if and only if every induced subgraph of G contains a vertex of degree at most 1.
A plane is heading due south with an airspeed of 211 mph. A wind from a direction of 53 degrees is blowing at 17 mph. What is the bearing of the plane?
Let P : C -> R be defined by P(z) = Re z; show that P is an open map but it is not a closed map. ( Hint: Consider the set F = { z : Imz = ( Re z)^-1 and Re z doesn't equal to 0}.) Please explain every step and justify.
which the distance between the planes changes when the southbound plane is 34 km away from the airport and the westbound plane is 21 km from the airport.
A company will have to spend $300,000 on new plant in 4 years from now. Currently investment rates are at a nominal 10% p.a.
A pendulum swings through an angle of 20° each second. If the pendulum is 55 inches long, how far does its tip move each second? If necessary, round the answer to two decimal places.
After how many seconds will the stone hit the ground? Round to the nearest hundredth's place; include units in your answer.
If one gallon of paint has a volume of approximately 4000 cm3, what is the maximum number of whole gallons of paint that can be poured into the bucket?
How much will the preferred stockholders and the common stockholders receive each year?
A fair coin is tossed 100 times. The event that the number of heads obtained is less than 35 is denoted by A. By using a suitable approximation to the binomial distribution, calculate the probability of A.
Analyze the residuals from this experiment. Are there any indications of model inadequacy or violations of the assumptions?
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