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An ecologist wishes to mark off a circular sampling region having radius 10 meters. However the radius of the resulting region is actually a random variable R with probability density function.
f(x)= 3/4 [1-(100 + r^2 - 20r)]; 9 ≤ r ≤ 110 ; otherwise
What is the expected area of the resulting circular region?
Using the readings discussed in this course, provide one real-world application of the information learned that has been the most valuable to you. Why has it been valuable?
mineral deposits have formed a uniform coating that is 4 millimeters thick on the inside of a water pipe. the cross sectional area has decreased by 10%. what was the original diameter of the pipe?
On notebook paper, construct a rectangle that covers more than half the area of the paper AND the ratio of the width and length simplifies to a rational number that is a close approximation of the "golden ratio". State the dimensions of the rectan..
Suppose the three vertices A, B and C of a parallelogram ABCD are given. Construct the fourth vertex D.
Probability of Having a Disease when Testing Positive. Suppose that 1% of all people have a particular disease. A test for the disease is 99% accurate. This means that a person who tests positive for the disease has a 99% chance of actually having..
Two tracking stations are on the equator 131 miles apart. A weather balloon is located on a bearing of N 43°E from the western station and on a bearing of N 15°w from the eastern station. How far is the balloon from the western station? Round to t..
Problems Involving a Binomial Distribution About 30% of adults in United States have college degree.
Find all of the real zeros of the polynomial P(x)=3⋅x4+48⋅x3+216⋅x2+228⋅x-135. List the zeros in any order and separate them with commas.
An investor is considering three types of investments: a high-risk venture into oil leases with a potential return of 15%, a medium-risk investment in stocks with a 9% return, and a relatively safe bond investment with a 5% return. He has $50,000 ..
Find all points of intersection of the curves (r^2)=4sin(2x) and (r^2)=4cos(2x). Give your answers as ordered pairs in cartesian coordinates, in order of increasing radius and increasing angle.
Explain the difference between the solution sets when a compound inequality contains the word "and" versus when the inequality contains the word "or".
Hypothesis testing for single mean.
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