Domain is set of all x-values. You are supposed to focus on the x-axis instead.
From the graph, the point starts from x = -5 and ends on x = 5. That means no values would exist after x = 5 or before x = -5.
Hence, the domain starts from -5 to 5.
Answer
Answer:
Step-by-step explanation:
You can’t just substitute 0 for θ. 0 is a constant, not a variable.
secθ = -13/5
cosθ = 1/secθ = -5/13
sin²θ = 1 - cos²θ = 144/169
sinθ = -12/13
cscθ = 1/sinθ = -13/12
tanθ = sinθ/cosθ = 12/5
cotθ = 1/tanθ = 5/12
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:
x=-6
Step-by-step explanation:
7x-9x=6+6
-2x=12
x=-6
Answer:
The number would be 22.
Step-by-step explanation:
In order to solve for the number, we need to make both statements into numerical statements.
Fifteen more than four times a number = 15 + 4x
difference between 191 and four times the number = 191 - 4x
Now we set them equal to each other.
15 + 4x = 191 - 4x -----> Add 4x to each side
15 + 8x = 191 ------> Subtract 15 from both sides
8x = 176 -------> Divide by 8
x = 22
