Answer:
The probability of the number of starfish dropping below 3 is 0.0463.
Step-by-step explanation:
Let X represent the number of starfish in the tide pool.
X follows a Poisson distribution with mean 6.4.
The formula for Poisson distribution is as follows.
![P(X=x) = e^{-6.4} * [6.4^{x} / x!] when x = 0, 1, ...](https://tex.z-dn.net/?f=P%28X%3Dx%29%20%3D%20e%5E%7B-6.4%7D%20%2A%20%5B6.4%5E%7Bx%7D%20%2F%20x%21%5D%20when%20x%20%3D%200%2C%201%2C%20...)
otherwise
We need to find the probability that the number of starfish in the tide pool drops below 3.
Therefore, the required probability is:
P(X < 3) = P(X = 0) + P(X = 1) + P(X=2)
P(X < 3) = 0.00166 + 0.01063 + 0.03403
P (X < 3) = 0.0463
Answer:
The worth of the company in 2000 is $56,000.
Step-by-step explanation:
The growth rate of the company is:
To determine the worth of the company in 2000, first compute the change in the net worth during the period 1990 (<em>t</em> = 0) to 2000 (<em>t</em> = 10) as follows:
The increase in the company's net worth from 1990 to 2000 is $16,000.
If the company's worth was $40,000 in 1990 then the worth of the company in 2000 is:
Worth in 2000 = Worth in 1990 + Net increase in company's worth
Thus, the worth of the company in 2000 is $56,000.
Lateral surface area = (23×12.04)+(23×8)+(23×9)
= 276.92 + 184 + 207
=667.92
= 668m²
Total surface area = 668 + 1/2(2×8×9)
= 668 + 72
= 740m²
Answer:
(-9, -3)
Step-by-step explanation:
x = -3
y = -5
(x – 6, y + 2)
x = -3 - 6 = -9
y = -5 + 2 = -3
(-9, -3)
The Answer is....
x=-3 and y=3
(-3,3)
