Answer:No
Step-by-step explanation:
Given system of equation is:
2x + 3 = y
2x + y = 15
To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.
Putting x=2 and y=7 in Eqn 1
2(2) + 3 = 7
4 + 3 = 7
7 = 7
Thus the ordered pair satisfies the equation
Putting x=2 and y=7 in Eqn 2
2(2) + 7 = 15
4 + 7 = 15
11 ≠ 15
The ordered pair do not satisfy the second equation.
Hence,
(2,7) is not a solution to the given system of equations.
Answer:
![P(Y>1 \cap Y](https://tex.z-dn.net/?f=%20P%28Y%3E1%20%5Ccap%20Y%3C4%29)
And we can find this probability like this:
![P(Y>1 \cap Y](https://tex.z-dn.net/?f=%20P%28Y%3E1%20%5Ccap%20Y%3C4%29%3D%20P%28Y%3D2%29%20%2BP%28Y%3D3%29%20)
And we can replace the values and we got:
![P(Y>1 \cap Y](https://tex.z-dn.net/?f=%20P%28Y%3E1%20%5Ccap%20Y%3C4%29%3D%20P%28Y%3D2%29%20%2BP%28Y%3D3%29%3D0.429%20%2B0.381%20%3D%200.81)
Step-by-step explanation:
For this case we define the random variable Y as: the number of slices of cheesecake left on the platter after the first serving. And we have the following distribution for Y:
Y | 0 1 2 3 4
P(Y) | 0.005 0.114 0.429 0.381 0.071
And we want to find the following probability:
![P(Y>1 \cap Y](https://tex.z-dn.net/?f=%20P%28Y%3E1%20%5Ccap%20Y%3C4%29)
And we can find this probability like this:
![P(Y>1 \cap Y](https://tex.z-dn.net/?f=%20P%28Y%3E1%20%5Ccap%20Y%3C4%29%3D%20P%28Y%3D2%29%20%2BP%28Y%3D3%29%20)
And we can replace the values and we got:
![P(Y>1 \cap Y](https://tex.z-dn.net/?f=%20P%28Y%3E1%20%5Ccap%20Y%3C4%29%3D%20P%28Y%3D2%29%20%2BP%28Y%3D3%29%3D0.429%20%2B0.381%20%3D%200.81)
4/5 because 12/3=4 and 15/3=5
Hello,
No a triangle with these angles are not unique. This is because every triangle is supposed to have 180 degrees, just like this one.
Have a great day!
Answer:
It stopped raining at 3:54
Step-by-step explanation: