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Question: A light ray starts at the origin and is reflected off a mirror along the line y = 1 to the point (2, 0). See Figure. Fermat's Principle says that light's path minimizes the time of travel. The speed of light is a constant.
(a) Using Fermat's Principle, find the optimal position of P.
(b) Using your answer to part (a), derive the Law of Reflection, that θ1 = θ2.
The balance in a bank account t years after money is deposited is given by f(t) = 1000e0.08t dollars.
Two minor league baseball players got a total of 366 hits. washington had 10 more hits than Sanchez
The remaining three sides are to be enclosed with a protective fence. If there are 12 km of fence available, find the dimension of the rectangle to maximize the area of the sanctuary.
Calculating probabilities of a dice game. Suppose someone gives you 9 to 2 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win $9.00 if you succeed and you lose $2.00 if you fail.
The shortlist consists of 7 men and 3 women. Because all the shortlisted applicants are considered to be equally qualified, the names of two of them are drawnn, one after the other at random, to be called for an interview.
Find the value of the chi-square test statistic for the goodness-of fit test. The following table is obtained from a random sample of 40 absences:
You invest $5000 in two stocks. In one year, the value of stock A increases by 9.8% and the value of stock B increases by 6.2%. The total value of the stocks is now $5389.20. How much did you originally invest in each stock?
What is the sample space that we use for rolling two dice, a first one and then a second one? Using this sample space.
A rectangular region is enclosed on all four sides with 45 feet of fencing. If the width is one half the length, find the area of the region.
The number of vacation days taken by the employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken is less tha..
Without using a trial and error or iterative approach, determine the initial speeds of both swimmers in m/s.
1 how do graphical presentations reflect data type e.g. discrete and continuous random data?2 how can mean standard
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