Find the median of the random variable x with the probability density function defined on the indicated interval I. The median of x is defined to be the number m such that . Observe that half of the x-values lie below m and the other half lie above m. Round the answer to two decimal places, if necessary.

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What will be an ideal response?



Mathematics

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Find the limit.

A. 0
B. 9
C. 1
D.

Mathematics

The growth rate G, in thousands per year, of a certain population depends on the number N, in thousands, of individuals present. The relationship is

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A: Make a graph of growth rate versus population size.
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B: What population level results in a maximum growth rate?  What is that maximum growth rate? 
Round your answers to two decimal places.
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C:  When population demands exceed available resources, a population decline can be expected.  What population levels would result in a declining population? Round your answer to two decimal places.

What will be an ideal response?

Mathematics

Solve.35.5% of 3,600 is what?

A. 2,322 B. 2,342 C. 1,278 D. 1,800

Mathematics

Solve the problem. Round to the nearest tenth, if necessary.If an object is propelled upward from a height of 80 feet at an initial velocity of 80 feet per second, then its height after t seconds is given by the equation , where h is in feet. After how many seconds will the object reach a height of 180 feet?

A. 2.5 sec B. 1.3 sec C. 5 sec D. 10 sec

Mathematics