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find the height of a tall tree, a surveyor moves 140 feet away from the base of the tree and then, with a transit 4 feet tall, measures the angle of elevation to the top of the tree to be 53°. What is the height of the tree? Round your answer to the nearest foot.
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.
If Mark makes the tee time, then there is a 0.8 chance that Rene will then make the tee time. What is the probability that Rene will make the tee time but Mark will not?
For the function: f(x)=(x^2/4)+e^(-x^2), sketch a graph of the function. Calculate the first and second derivatives, and use these answers to approximate the locations of the local maximum, minima, and the inflection points.
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?
Suppose that a license plate must contain a sequence of two-letters followed by four-digits, or three-letters followed by three-digits.
Develop a point estimate of the mean value of y when x1 = 180 and x2 = 310 (to 3 decimals).
Find the equation of the line normal to the curve of y= 2 cos (1/2)x, where x=pi. Write the expression using x as a variable. Write the exact answer in terms of pi.
Find the probability of an alarm.
To estimate animal populations, biologists count the total number of animals in a small section of a habitat. The total population of animals is directly proportional to the size of the habitat (in acres) polled.
O is the intersection point of the medians of a triangle ABC. The medians are AD, BE, CF. What is the ratio of the area of triangle EOC to TRIANGLE abc?
What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?
Is this test will be given to 600 randomly selected people, where each person has the illness, find the probability that there will be at least one false negative.
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