Answer:
0.047
Detailed breakdown:
Using a Poisson distribution with a mean m, for an area of 0.5 square meters = 1.5
The formula to determine the probability is given by
P[k] = (e^-m * m^k) k!
Thus, we can calculate
P[4] = [(e^-1.5) * (1.5^4)] ÷ 4 * 3 * 2 * 1
= (0.2231301601 * 5.0625) ÷ 24
= (1.12944375) ÷ 24
≈ 0.04706
≈ 0.047
Therefore, the final result is 0.047
It's option C.
The value escalates threefold compared to the last step.
All other function values increase by a constant amount, resulting in linear behavior
Answer:
The equivalent expression for the provided complex fraction is
Step-by-step explanation:
To simplify the complex fraction, calculating the numerator and denominator individually is effective.
Numerator:
Denominator:
Resolving the complex fraction:
![[\frac{-2}{x} + \frac{5}{y}] / [\frac{3}{y} + \frac{-2}{x}]\\= [\frac{-2y + 5x}{xy}] / [\frac{3x - 2y}{xy}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B-2%7D%7Bx%7D%20%2B%20%5Cfrac%7B5%7D%7By%7D%5D%20%2F%20%5B%5Cfrac%7B3%7D%7By%7D%20%2B%20%5Cfrac%7B-2%7D%7Bx%7D%5D%5C%5C%3D%20%5B%5Cfrac%7B-2y%20%2B%205x%7D%7Bxy%7D%5D%20%2F%20%5B%5Cfrac%7B3x%20-%202y%7D%7Bxy%7D%5D)
Common terms in the numerator and denominator will cancel out (Cross multiplication):
This explanation follows: The query lacks completeness; please refer to the complete question in the provided attachment. The curve described is represented by the quadratic equation, y = x². If the curve moves downwards by 2 units, the equation for the new curve becomes y = x² - 2. Shifting the curve 2 units to the left results in the equation y = (x + 2)². Conversely, moving the curve 2 units to the right transforms it to y = (x - 2)². Lastly, if shifted upwards by 2 units, the equation will be y = x² + 2.
<span>The system becomes inconsistent when a equals 3 but b is not 5, as this results in parallel lines. If a equals 3 and b equals 5, the system is both consistent and dependent, since both equations represent the same line.</span>
