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1. Explain the notions of a percentile and a quantile and how they are related.
2. Why do we care about probabilistic inequalities?
A converging lens (f = 24.6 cm) is used to project an image of an object onto a screen. Find the two object distances
Divide the parabolic spandrel shown into five vertical sections and determinate by approximate means the x coordinate of its centroids; approximate the spandrel by rectangles of the form bdd'b'. How can I determine the area of each rectangular sect..
A ballistograph consists of a platform supported on air jets that allow sensitive recoil speed measurements of the human body, for example the human heart. If the typical human heart ejects 0.70 kg of blood with an average speed (or velocity) of 0.30..
The figure below shows a mercury barometer. Consider two barometers, one using mercury and another using an unknown liquid. estimate the density of the unknown liquid
The equation of a transverse wave on a string is y = (5.7 mm) sin[(20 m-1)x + (760 s-1)t]. The tension in the string is 30 N. Find the linear density of this string in grams per meter
The cheetah can reach a top speed of 114 km/h (71 mi/h). While chasing its prey in a short sprint, Determine the cheetah's average acceleration during the short sprint
A football player kicks a ball at an angle of 37 degrees from the horizontal with an initial speed of 50ft/sec, and the ball moves in a vertical plane. What is the highest point reached by the ball
q1. two boats start together and race across a 46 km-wide lake and back. boat a goes across at 60 kmh and returns at 60
What are quantum paths, and the path integral formulation of quantum mechanics?
A potential difference of 90 mV exists between the inner and outer surfaces of a 7.5 nm thick cell membrane. What is the electric field inside the cell membrane and inside the actual cell. Explain
Expalin by how much does the potential energy of a 18.0-kg child increase when the child climbs a normal staircase to the second floor?
What is the maximum torque on a molecule of HCl (dipole moment p = 3.60 × 10-30 Cm) in a region of electric field E = 3.0 × 104 N/C
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