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Consider a civilization broadcasting a signal with a power of 1.5×10^4 watts. The Arecibo radio telescope, which is about 300 meters in diameter, could detect this signal if it is coming from as far away as 122 light-years. Suppose instead that the signal is being broadcast from the other side of the Milky Way Galaxy, about 70000 light-years away. How large a radio telescope would we need to detect this signal?
A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 10 in. by 17 in. by cutting equal squares from the four corners and turning up the sides.
35% of a store's computers come from factory A and the remainder come from factory B.2% of computers from factory A are defective while 1% of computers from factory B are defective.
A regression analysis
Compute the mean and variance for binomial distribution. Calculate the mean and standard deviation (by hand) for the binomial distribution with the probability of a success being 1/4, 1/2, 3/4.
The speed of a passenger train is 10mph faster than the speed of a freight train. The passenger train travel 310 miles in the same time it takes the freight train to travel 260 miles. Find the speed of each train.
Estimate the relative error in the calculated surface area.
Example of a Random Procedure with Specified Events. Please list as many different groups of complete events as possible for an experiment of your choice (Probability). Need real world example on complete events
The surface area of this pyramid is 189 cm The area of the square base is 49 cm sq . What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
If 4 Americans, 3 Frenchmen and 3 Englishmen are to be seated in a row, how many seating arrangements are possible when people of the same nationality must sit next to each other?
How can you compute the union and intersectio of two sets, using some of the methods that the set interfce provides? hint: your code should not be bigger than four lines
If a window entails a seamless glass area formed by a rectangle capped by semi-circle, if the semi-circle's diagonal and the rectangle's width coincide, and if the window's exterior perimeter is 16 feet
The length of the transverse axis is 8, and the length of the blue line segment is 7. How long is the red line segment?
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