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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%?
What is input - output analysis?
Mimi is filling a tennis ball can along with water. She wants to know the volume of the cylinder shaped can. Which formula will she use? The volume of a cylinder is π times the
find a common tangent to two circles
(p:4:3p
OPERATION RESEARCH ABSTRACT
Submit your working in (neat) handwritten form (do not type up your solutions). For the plots that you generate in Maple or Matlab, you can print them out and attach them at the en
Two circles touch externally. The sum of their areas is 58 π cm 2 and the distance between their centres is 10 cm. Find the radii of the two circles. (Ans:7cm, 3cm) Ans:
compare: 643,251; 633,512; and 633,893. the answer is 633,512. what is the question?
Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 84 feet. a) Set up an equation for the perimeter involving
how to solve this? y = 7x - 12 y = x2 Solve the system using substitution.
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