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one brand of its tires is normally distributed with a mean of 50,100 miles and a standard deviation of 4000 miles. If the manufacturer is willing to replace around 10% of the tires as unsatisfactory performers, what should be the approximate number of miles for a warranty?
Filling a tank. A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened.
Solve a numerical method - Euler methods and Compare with the exact solution
What is the probability that the mean annual snowfall during 40 randomly picked years will be between 105 inches and 112 inches?
an aluminum tube with the hexagonal section is 2.5 ft long and has a constant thickness of 0.080 in. Find the largest torque that the tube can carry if the shear stress limited to 7200 psi. answer solution.
A stone is thrown into a lake, and t seconds after the splash the diameter of the circle of ripples is t meters. Express the circumference C of this circle as a function of t.
Probability on normal distribution
a picture frame measures 12 cm by 40 cm, and 288cm^2 of picture shows. what is the width of the frame?
If an object is given an initial velocity straight upward of v0 feet per second from a height of s0 feet , then its altitude's after 1 second is given by the formula
Is there sufficient evidence to indicate premature battery failure at the α = .05 level?
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves x=4y^2-y^3 and x=0 about the x-axis.
Quantitative Methods- Probabilities Problem. A country road averages 6 potholes per mile. A road crew is sent out to repair the road. Find the following probabilities. Use the appropriate table or software if you want.
Show that the given relations are contradictions
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