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Suppose that the three coordinate planes are all mirrored and a light ray given by vector a=(a1,a2,a3) first strikes the xz-plane, then the reflected ray strikes the xy-plane and the reflected ray of this ray strikes the yz-plane. Use the fact that angle of incidence equals the angle of reflection, show that the reflected ray b=(a1,-a2,a3). Deduce that after being reflected by all three mutually perpendicular mirrors, the resulting ray is parallel to the initial ray. Thank you.
Two trains leave stations 440 miles apart at the same time and travel toward each other. One train travels at 105 miles per hour while the other travels at 95 miles per hour. How long will it take for the two trains to meet?
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
Find the height of the window x = 24 in. from the center of the base. (Round your answer to one decimal place.)
Construct appropriate probabilistic models - appropriate probabilistic model and find the probability of getting doubles.
On Friday, a local hamburger shop sold a combined total of 416 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Friday?
Probability: Binomial approximation to normal distribution. In a large university, 30% of the incoming first-year students elect to enroll in a personal finance course offered by the university
Solve this linear problem graphically and determine optimal quanitities of A, B, and value of Z.
Suppose we are producing copper wire and putting the wire on spools. Each spool contains 100 feet of wire. Defects such as nicks in the wire can occur at random locations. What would be a reasonble distribution for each of the following: (a) the n..
a grocer mixes together four pounds of peanuts costing $2 per pound with two pounds of walnuts costing $5 per pound. what should the price per pound of this mixture be?
If the loan is to be amortized over 30 years, what monthly payment will the Taylor's be required to make? (Round your answers to the nearest cent.)
What is the average cost per unit to produe 100 units?
Find the price of the material
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