Answer:
5x-2
Step-by-step explanation:
Since f(x)-g(x) you take 3x+2 and subtract -2x-4.
3x+2+2x-4
5x-2
Answer:
The correct answer is 12.8 J.
Step-by-step explanation:
To solve this problem, we must remember how to calculate the kinetic energy of an object.
The kinetic energy is represented by the formula K = 1/2 * m * v^2, where m represents the mass of the object and v represents the speed or velocity of the object. If we plug in the given values into the formula, we get:
K = 1/2 * m * v^2
K = (1/2) * (0.40) * (8.0)^2
Our first step is to square the velocity. After doing this step, we get the following:
K = (1/2) * (0.40) * (64)
Finally, we can perform the multiplication, to get:
K = 12.8
The unit for kinetic energy is joules, so the correct answer is 12.8 J.
Hope this helps!
Answer:
It is a function because the x values don't repeat
Step-by-step explanation:
Answer:
B) 0.894
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
![P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20%5Cfrac%7Be%5E%7B-%5Cmu%7D%2A%5Cmu%5E%7Bx%7D%7D%7B%28x%29%21%7D)
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
A local animal rescue organization receives an average of 0.55 rescue calls per hour.
This means that ![\mu = 0.55](https://tex.z-dn.net/?f=%5Cmu%20%3D%200.55)
Probability that during a randomly selected hour, the organization will receive fewer than two calls.
![P(X < 2) = P(X = 0) + P(X = 1)](https://tex.z-dn.net/?f=P%28X%20%3C%202%29%20%3D%20P%28X%20%3D%200%29%20%2B%20P%28X%20%3D%201%29)
In which
![P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20%5Cfrac%7Be%5E%7B-%5Cmu%7D%2A%5Cmu%5E%7Bx%7D%7D%7B%28x%29%21%7D)
![P(X = 0) = \frac{e^{-0.55}*(0.55)^{0}}{(0)!} = 0.577](https://tex.z-dn.net/?f=P%28X%20%3D%200%29%20%3D%20%5Cfrac%7Be%5E%7B-0.55%7D%2A%280.55%29%5E%7B0%7D%7D%7B%280%29%21%7D%20%3D%200.577)
![P(X = 1) = \frac{e^{-0.55}*(0.55)^{1}}{(1)!} = 0.317](https://tex.z-dn.net/?f=P%28X%20%3D%201%29%20%3D%20%5Cfrac%7Be%5E%7B-0.55%7D%2A%280.55%29%5E%7B1%7D%7D%7B%281%29%21%7D%20%3D%200.317)
![P(X < 2) = P(X = 0) + P(X = 1) = 0.577 + 0.317 = 0.894](https://tex.z-dn.net/?f=P%28X%20%3C%202%29%20%3D%20P%28X%20%3D%200%29%20%2B%20P%28X%20%3D%201%29%20%3D%200.577%20%2B%200.317%20%3D%200.894)
R, h, g, s, and p are all constants, so that would be 8/11, or 72% of a chance of getting a consonant.
I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)