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Coal is carried from a rrrine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 36 tons of coal in each car. The actualweights of coal loaded into each car are normally distributed with a mean jJ. = 36 tons and a standard deviation g = 0.8 tons.
(a) What is the probability that ONE car chosen at random will have -less than 35.5 tons of coal?
(b) What is the probability that 20 cars chosen at random will have a mean load weight x less than 35.5 tonsof coal?
(c) Suppose that the weight of coal in one car was less than 35.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Suppose the weight of coal in 20 cars selected at random had an average x less than 35.5 tons, Would that fact make you suspect that the loader had slipped out of adjustment? Why?
2. To be licensed as a practical nurse, one must make a score in the-top 30% on the licensing exam. (15) The mean score of all strtdents tiling the exam is 79 with a standard deviation of 9 points and the scores are given in whole number values. What is the least score a student can make and be considered in the top 30%?
The next special form of the line which we have to look at is the point-slope form of the line. This form is extremely useful for writing the equation of any line. If we know that
explain under a reflection the image is laterally inverted.
Substitution Rule ∫ f ( g ( x )) g′ ( x ) dx = ∫ f (u ) du, where, u = g ( x ) we can't do the following integrals through general rule. This looks considerably
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calcula el área de la región sombreada de un rectángulo cuya base es 12.6 cm y su altura es 8.4
Standard Basis Vectors The vector that is, i = (1, 0,0) is called a standard basis vector. In three dimensional (3D) space there are three standard basis vectors, i → = (1
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Find the sum of all natural numbers amongst first one thousand numbers which are neither divisible 2 or by 5 Ans: Sum of all natural numbers in first 1000 integers which ar
Chain Rule : If f(x) and g(x) are both differentiable functions and we describe F(x) = (f. g)(x) so the derivative of F(x) is F′(x) = f ′(g(x)) g′(x). Proof We will s
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