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A box contains 10 chips. The chips are numbered 1 through 10. Otherwise, the chips are identical. From this box, we draw one chip at random, and record its value. We then put the chip back in the box. We repeat this process two more times, making three draws in all from this box.
1. How many elements are in the sample space of this experiment?
2. What is the probability that the three numbers drawn are all different?
3. What is the probability that the three numbers drawn are all even numbers?
Find a matrix A that admits no LU decomposition, even if we only require that L is lower triangular ( not necessarily unit!) and U is upper triangular.
During a chemical reaction,the temperature in the beaker decreased every minute by the same number of degrees. The temperature was 16°C at 11:08 A.M. By 11:43 A.M., the temperature had dropped to-17°C. By how many degrees did it drop each minute?
Consider a rectangular box of volume 100 cubic centimters. Suppose that the base is a rectangle with sides x centimeters and 2x centimeters. Let hx give the height of the box in centimeters and let Ax be the total area of the six sides of the box.
A 100 foot wire is extended from the ground to the top of a 60 foot pole, which is perpendicular to the level ground. To the nearest degree, what is the measure of the angle that the wire makes with the ground.
Compute the work required to compress a spring 2 more cm when it is already compressed 3 cm, assuming that the spring constant is k = 150 kg/s2.
Use RAM to estimate the area of the region enclosed between the graph of f and the x-axis for a is less than/equal to x, x is less than/equal to b.
Selling shirts. If a vendor charges p dollars each for rugby shirts, then he expects to sell 2000 - 100p shirts at a tournament. a) Find a polynomial R(p) that represents the total revenue when the shirts are p dollars each.
Let (X, E, u) be a measure space with u a non-negative measure. Suppose that Prove that f (x) = 0 a.e. with respect to u.
Find the p-value for each of the following hypothesis testing situations.
A plane headed due east is traveling with an airspeed of 270 miles per hour. The wind currents are moving with constant speed in the direction 240°. If the ground speed of the plane is 135 miles per hour, what is its true course?
A church steeple casts a shadow 115 ft long, at the same time a 9.0 ft post casts a shadow 7.0 ft long. How high is the steeple?
researchers conducted a survey of parents of 66nbsp kindergarten children.nbsp the parents were asked whether they
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