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In Linear Algebra I need to write a proof to prove that "An (nxn) matrix of A is nonsingular if and only if the nullity of A is zero"
Assume that a watermelon dropped from a tall building falls y=16t^2 in t sec. Find the watermelon's average speed during the first 3 sec of fall and the speed at the instant t=3sec.
The normal body temperature measured by placing the thermometer under the tongue is assumed to be normally distributed with a standard deviation of 0.7oC. Body temperatures of 52 subjects were recorded and the average is 36.83oC.
Find the scale used to create the model. The scale modcel of a 45-inch tall bookcase is 2.5 inches tall.
A box has square ends and a rectangular base but no top, the volume is 288 cubic cm. What is the minimum total area of the sides and base, and what are the corresponding dimensions?
Random Variables : Probability, Mean and Variance, Let the continuous r.v.X denote the weight (in pounds) of a package. The range of weight of the package is between 45 and 60 pounds.
The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 107 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will..
Suppose that f_n(0) converges to some number, denoted f(0), and also suppose that the sequence (f'_n) converges uniformly on (0,1) to some function g: (0,1) -> R. Prove that the sequence (f_n) converges uniformly. What is its limit?
Let C represent the total cost and x represent the number of photos produced. Graph the equation by hand. Use the graph to determine the cost of producing 7 prints.
what is the probability that the mean breaking strength of the 5 untreated specimens exceeds 50 pounds? what is the probability of the mean breaking strength of the 5 treated specimens exceeds 50 pounds?
The frame around the picture has a uniform width of 2 inches and an area of 96 square inches. What are the dimensions of the picture?
Suppose that a tribal culture was discovered in the South Pacific whose language consists of only eight letters
Find the value of the constant, Constant, in the equation below. Round your answer to one decimal place.
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