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The Speedmaster IV automobile gets an average 22 miles per gallon in the city. The standard deviation is 3 miles per gallon. Find the probability that on any given day, the automobile will get more than 26 miles per gallon when driven in the city.
Description of Directional Derivative and how the dot product can be used to justify that the gradient points in the direction of maximum of a function.
Find the center of mass of the lamina bounded by y = x^2 and y=2x and the density is ?(x,y) = xy.
Circle O and circle P are externally tangent circles. Circle O is tangent to circle P at T, OT = 12, TP = 6. AB is a common external tangent line to both circles. Find AB.
what is the daffynition decoder for warehouse and explain?
Suppose a shock causes a unit damage to the machine with probability 0.1 and no damage with probability of 0.9. Successive shocks are independent. Suppose the damages are cumulative and the machine can withstand at most four units of damage
In a circle of radius 6 centimeters, find the area of the segment bound by an arc of measure 120 degrees and the chord joining the endpoints of the arc. Round your answer to nearest tenth.
What is the probability that the nut fits the bolt? (Note: the sample space consists of all pairs of nuts and bolts, and each pair is equally likely to be chosen.)
Evaluate the dimensions of the rectangle of maximum area that can be inscribed in a ellipse
Exactly one of the three contestants will win a game show. The probability that Terry wins 0.25 and the probability that Chris wins is 0.65. What is the probability that Toni wins?
Its a common belief that people behave strangely when theres a full moon, and that as a result police and emergency rooms are busier than usual. Design a way you could find out if there is any merit to this belief. Will you use an observational st..
Let f: [a,b] ----> R and suppose f is integrable with respect to alpha. Prove that for any c in the real numbers, cf is integrable with respect to alpha and the integral from a to b of cf d(alpha) = c times integral from a to b of f d(alpha).
A survey of 398 children given at a local elementary school showed that 175 like chocolate ice cream, 225 like pistachio ice cream, and 123 do not like chocolate or pistachio ice cream. How many children like at most one kind of ice cream mentione..
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