Answer:
The sine function is:
![y(x)=\frac{2}{3}sin[3\pi (x-\frac{2\pi}{3})]-2](https://tex.z-dn.net/?f=y%28x%29%3D%5Cfrac%7B2%7D%7B3%7Dsin%5B3%5Cpi%20%28x-%5Cfrac%7B2%5Cpi%7D%7B3%7D%29%5D-2)
Step-by-step explanation:
We need to recall that a sine function can write as:
Where:
- A is the amplitude of the function
- B is the period
- C is the phase shift left
- D is the vertical shift
So we just need to use the listed attributes
Therefore, the sine function is:
![y(x)=\frac{2}{3}sin[3\pi (x-\frac{2\pi}{3})]-2](https://tex.z-dn.net/?f=y%28x%29%3D%5Cfrac%7B2%7D%7B3%7Dsin%5B3%5Cpi%20%28x-%5Cfrac%7B2%5Cpi%7D%7B3%7D%29%5D-2)
I hope it helps you!
Answer:
6 means go to the right six times while -7 means go down seven times
Step-by-step explanation:
The size of the sample should be obtained at 2401 in order to be 95% confident
Given that:
Margi of error, 
Population proportion, 
To Find: The size of the sample that should be obtained in order to be 95% confident
Let the size of the sample be n
Using formula,

Therefore, the size of the sample should be obtained at 2401 in order to be 95% confident
Learn more about Population proportion here brainly.com/question/15703406
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Cathy and Iris have 259,459,200 ways to skip countries.
Data;
- Number of countries they are planning to visit = 9
- Number of countries they would like to visit = 13
<h3>Combination</h3>
To solve this problem, we would have to use a mathematical procedure known as combination.
Let us calculate the number of countries that would have to skip.

To decide which country they have to skip, it would be 4 out of 13.

Let's solve this

Cathy and Iris have 259,459,200 ways to skip countries.
Learn more on combination here;
brainly.com/question/12468032
The graph has been moved 3 units downward, making the range change. The range of f(x) is [-5,5], while the range of g(x) is [-8,2]. The picture is of both functions. f(x) is blue, g(x) is red.