Answer:
Independent events
Step-by-step explanation:
Given that:
Ramiro draws a marble from a jar without replacement and then flips a coin
Let
be the event that Ramiro draws a marble without replacement and;
Let
be the event of flipping a coin.
Let's have an analogy so that we can better understand the concept of independent and dependent events.
Consider a random experiment in which a marble is drawn from a jar without replacement and a fair coin is flipped together.
The event
does not in any way affect the event
of a head or a tail showing up in a flip of a coin.
Therefore, we say that
and
are independent events.
Suppose the event
affects or influence the event
, then we can say they are dependent events.
Answer:
both the first one
Step-by-step explanation:
use unit rate
Answer: yes is it a function
Step-by-step explanation:
A graph is a function when there is only one y value for each x value. You can also use the vertical line test. This example is a “quadratic function”.
Answer:
![\large\boxed{f^{-1}(x)=\dfrac{x+4}{3}=\dfrac{1}{3}x+\dfrac{4}{3}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bf%5E%7B-1%7D%28x%29%3D%5Cdfrac%7Bx%2B4%7D%7B3%7D%3D%5Cdfrac%7B1%7D%7B3%7Dx%2B%5Cdfrac%7B4%7D%7B3%7D%7D)
Step-by-step explanation:
![f(x)=3x-4\to y=3x-4\\\\\text{exchange x to y and vice versa}\\\\x=3y-4\\\\\text{solve for y}\\\\3y-4=x\qquad\text{add 4 to both sides}\\\\3y=x+4\qquad\text{divide both sides by 3}\\\\y=\dfrac{x+4}{3}](https://tex.z-dn.net/?f=f%28x%29%3D3x-4%5Cto%20y%3D3x-4%5C%5C%5C%5C%5Ctext%7Bexchange%20x%20to%20y%20and%20vice%20versa%7D%5C%5C%5C%5Cx%3D3y-4%5C%5C%5C%5C%5Ctext%7Bsolve%20for%20y%7D%5C%5C%5C%5C3y-4%3Dx%5Cqquad%5Ctext%7Badd%204%20to%20both%20sides%7D%5C%5C%5C%5C3y%3Dx%2B4%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%203%7D%5C%5C%5C%5Cy%3D%5Cdfrac%7Bx%2B4%7D%7B3%7D)
Answer:
The first six terms of this arithmetic sequence are: 30, 32, 34, 36, 38, 40
Step-by-step explanation:
The nth term of an arithmetic sequence is given by:
![P_n = P_0 + nd](https://tex.z-dn.net/?f=P_n%20%3D%20P_0%20%2B%20nd)
In which d is the common difference, that is, each term is increased by d.
d = 2, Po= 30
First term is 30, each consecutive is increased by 2. So
30, 32, 34, 36, 38, 40