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A study at a semiconductor manufacturing plant analyzed whether the presece of particles on the die affected the quality of the wafer. The results were:
Condition of Die
Quality
No particles
Particles
Good
348
16
Bad
92
44
(a) According to the table, what is the probability that a randomly-chosen wafer was produced from a die that had particles?
(b) If you know that a wafer is bad, what is the probability, according to the table, that it was produced from a die that had particles?
(c) Explain, with reference to your answers to (a) and (b) above, whether the two events: a bad wafer and a die with particles: are independent.
what could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
Let D be a Euclidean ring, F its field of quotients. Prove the Gauss lemma for polynomials with coefficients in D factored as product of polynomials with coefficients in F.
A cup of coffee at 173 degrees is poured into a mug and left in a room at 65 degrees. After 4 minutes, the coffee is 142 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) .
Sketch the base-five pieces and each of the subtraction models to determine the following differences. Record sketches of your work and record the base-five numeral for each difference.
A plane can fly 340 miles in the same time as it takes a car to go 120 miles. If the car travels 110 mph slower than the plane, find the speed of the plane.
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imagine you are a manager at a major bottling company. customers have begun to complain that the bottles of the brand
a particle moves on the x- axis so that its accleration at any time t > 0 is given by a=(t/8)-(1/t^2). when t=1, v= 9/16 ft/sec, and s=25/49 ft.
A total of 381 tickets were sold for the school play. They were either adult tickets or student tickets. There were 61 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Use Euler's method with step size 0.1 to estimate y(1.4), where y(x) is the solution of the initial-value problem below. Give your answer correct to 4 decimal places.
A catering service has been asked to provide a lunch buffet the next day for 40 people at a set price of $10.50 per person; no function has been booked for the next two days.
At a certain factory, it s determined that an output Q unit is expected when L worker-hours of labor are employed where Q(L) = 3100√L
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