In Exercises 49-52, determine whether the given point is in the feasible set of this system of inequalities: { 6 x + 3 y ≤ 96 x + y ≤ 18 2 x + 6 y ≤ 72 x ≥ 0 , y ≥ 0. ( 9 , 10 )
In Exercises 49-52, determine whether the given point is in the feasible set of this system of inequalities: { 6 x + 3 y ≤ 96 x + y ≤ 18 2 x + 6 y ≤ 72 x ≥ 0 , y ≥ 0. ( 9 , 10 )
Solution Summary: The author explains that the point (9,10) is not in the feasible set of the system of inequalities.
A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected.
a) Calculate the percentage of components that get rejected.
b) In a manufacturing run of 1000 units, how many are expected to be rejected?
c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
Find the (exact) direction cosines and (rounded to 1 decimal place) direction angles of = (3,7,6)
Shade the areas given
Chapter 3 Solutions
Finite Mathematics & Its Applications (12th Edition)
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