What is the probability that a point chosen at random in the rectangle is also in the blue triangle?

Mathematics

1 answer:

andrew-mc [135]3 years ago

3 0

Answer:

Step-by-step explanation:

there are 2 corners that are blue out of 4

2/4 is the same as 1/2

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A forest has 800800800 pine trees, but a disease is introduced that kills \dfrac{1}{4} 4 1 start fraction, 1, divided by, 4, e

snow_tiger [21]

This is a perfect example of exponential decay. In this case the growth factor should be represented by a fraction, and it is! This forest, starting out with apparently ( 800? ) pine trees, has a disease spreading, which kills 1 / 4th of each of the pine trees yearly. Therefore, the pine trees remaining should be 3 / 4.

Respectively 3 / 4 should be the growth factor, starting with 800 pine trees - the start value. This can be represented as such,

$P( t ) = a( b )^t$ - where a = start value, b = growth factor, t = time ( <em>variable quantity</em> )

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Thus, the function $P( t ) = 800( \frac{3}{4} )^t$ can model this problem. The forest after t years should have P( t ) number of pine trees remaining.