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Adams High School has 165 freshman, 177 sophomores, 214 juniors, and 227 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selection.
Use this tree diagram and the probability determined in part (a) to calculate the probability that she should receive at least one payment exactly on time.
A tank contains 200 liters of fluid n which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4L/min; the well-mixed solution is pumped up at the same rate.
Find the maximum margin separating hyperplane by solving the dual lagrangian constrained optimization problem. What is the value of the margin?
ow large a sample must be selected if he wants to be 99 percent confident of finding whether the true mean differs from the sample mean by 2.5 hours?
Using graphing to check your answers is helpful. When you factor a trinomial into two binomials, each binomial represents a linear relationship. If you plot the two binomials (which are just lines) on a graph
Assume that 10% of the population is left-handed. If three people are chosen at random, what is the probability that at least one will be left-handed?
Let G = RxR (R is the real numbers) with addition (x,y) + (x', y') = (x+x', y+y'). Let H be the line y=mx through the origin: H = {(x,mx)such that x belongs to R (R is real numbers).
The sleepers of a railway track which is turning round a bend of radius 60m are banked so that a train traveling at 40 km/hr exerts no lateral force on the rails. Find the lateral force exerted on the rails by an engine of mass 10^5 kg when travel..
a car traveling at 86 km/h when the driver sees an accident 65 m ahead and slams the brakes.. what minimum constant deceleration is required to stop the car in time to avoid a pileup.
A new drug cures 80% of the patients to whom it is administered. It is given to 25 patients. Find the probabilities that among these patients, the following results occur.
Use Gaussian elimination with partial pivoting to find matrices L and U such that U is upper triangular, L is lower triangular with | l_ij| = j and LU = A', where A' can be obtained from A by interchanging rows.
A wrench 0.2 meters long lies along the positive y-axis, and grips a bolt at the origin. A force is applied in the direction of at the end of the wrench. Find the magnitude of the force in newtons needed to supply 100 newton-meters of torque to ..
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