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Estimate the probability that a person who knows 60% of the material gets a grade strictly between 50 and 70 in the test of Exercise 5.7-4
Exercise 4
Compute the variance for the number of right answers when we answer one question with probability .8 of getting the right answer (note that the number of right answers is either 0 or 1, but the expected value need not be). Compute the variance for the number of right answers when we answer 5 questions with probability .8 of getting the right answer. Do you see a relationship?
The manufacturer can produce the lamps at a cost of $4 per lamp. At what price should the manufacturer sell the lamps to generate the greatest possible profit?
1. A right triangle has legs of length h and r and a hypotenuse of length 4. It is revolved about the leg of length h to sweep out a circular cone. What values of h and r maximize volume of the cone?2. A rectangular page in a textbook (with width x a..
A metal storage tank with a mximum volume of 500 m^3 is to be constructed in the shape of a right circular sylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
when x15 - 1 is divided by Xm - 1for m = 1, . . . . 14. Why do all the remainders have no more than two terms? What other patterns are there? Why do they occur? What would happen if 15 was replaced by another number?
find the exact solutions of the equation in the interval [0, 2π).
When might each method be most appropriate? Which method do you prefer? Why?
What is the probability of getting a score of 68 or less on this exam?
Comparing anova with more than two groups.
suppose that a body with temp. 85F is discovered at midnight, and that the ambient temp. is 70F. the body is removed quickly to the morgue where the ambient temp. is 40F. after 1 hour the body temp. is found to be 60F. estimate time of death.
Find the unit vector perpendicular to each of a= 6i+2j+3k and b=3i-6j-2k
Compare this to the actual value of the derivative and compute the percent error for each approximation
What is the chance that a randomly selected car will take longer than 40 minutes?
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