Answer:
Step-by-step explanation:
Given
Convert the probability to decimal
Solving (a): P(ABC)
This is calculated as:
This gives:
Solving (b): 
This is calculated as:
In probability:
So, we have:
Solving (c): 
This is calculated as:
![P(AB^cC) = P(A) * [1 - P(B)] * P(C)](https://tex.z-dn.net/?f=P%28AB%5EcC%29%20%3D%20P%28A%29%20%2A%20%5B1%20-%20P%28B%29%5D%20%2A%20P%28C%29)
Solving (d): 
This is calculated as:
![P(A^cBC) = [1-P(A)] *P(B) * P(C)](https://tex.z-dn.net/?f=P%28A%5EcBC%29%20%3D%20%5B1-P%28A%29%5D%20%2AP%28B%29%20%2A%20P%28C%29)
Solving (e): 
This is calculated as:
![P(AB^cC^c) = P(A) * [1-P(B)] * [1-P(C)]](https://tex.z-dn.net/?f=P%28AB%5EcC%5Ec%29%20%20%3D%20P%28A%29%20%2A%20%5B1-P%28B%29%5D%20%2A%20%5B1-P%28C%29%5D)
![P(AB^cC^c) = 0.48 * [1-0.48] * [1-0.48]](https://tex.z-dn.net/?f=P%28AB%5EcC%5Ec%29%20%20%3D%200.48%20%2A%20%5B1-0.48%5D%20%2A%20%5B1-0.48%5D)
Solving (f): 
This is calculated as:
![P(A^cBC^c) = [1-P(A)] * P(B) * [1-P(C)]](https://tex.z-dn.net/?f=P%28A%5EcBC%5Ec%29%20%20%20%3D%20%5B1-P%28A%29%5D%20%2A%20P%28B%29%20%2A%20%5B1-P%28C%29%5D)
![P(A^cBC^c) = [1-0.48] * 0.48 * [1-0.48]](https://tex.z-dn.net/?f=P%28A%5EcBC%5Ec%29%20%20%20%3D%20%5B1-0.48%5D%20%2A%200.48%20%2A%20%5B1-0.48%5D)
Solving (g): 
This is calculated as:
![P(A^cB^cC) = [1-P(A)] * [1-P(B)] * P(C)](https://tex.z-dn.net/?f=P%28A%5EcB%5EcC%29%20%20%3D%20%5B1-P%28A%29%5D%20%2A%20%5B1-P%28B%29%5D%20%2A%20P%28C%29)
![P(A^cB^cC) = [1-0.48] * [1-0.48] * 0.48](https://tex.z-dn.net/?f=P%28A%5EcB%5EcC%29%20%20%3D%20%5B1-0.48%5D%20%2A%20%5B1-0.48%5D%20%2A%200.48)
Solving (h): 
This is calculated as:
![P(A^cB^cC^c) = [1-P(A)] * [1-P(B)] * [1-P(C)]](https://tex.z-dn.net/?f=P%28A%5EcB%5EcC%5Ec%29%20%20%3D%20%5B1-P%28A%29%5D%20%2A%20%5B1-P%28B%29%5D%20%2A%20%5B1-P%28C%29%5D)
![P(A^cB^cC^c) = [1-0.48] * [1-0.48] * [1-0.48]](https://tex.z-dn.net/?f=P%28A%5EcB%5EcC%5Ec%29%20%20%3D%20%5B1-0.48%5D%20%2A%20%5B1-0.48%5D%20%2A%20%5B1-0.48%5D)
9/250 is in it's simplest form
If you wanted it's decimal form, it is 0.036
Answer:
Area of the triangle is 10 square units
Step-by-step explanation:
Recall that the formula for the area of a triangle is: "base x height / 2", and in this case, we can consider the triangle's base as the segment that joins the vertices (5, 4) and (5, 8) which gives a segment length of 4 units. The height of the triangle is then the distance between the third vertex (0,7) and the base, which is exactly 5 units. Then the area becomes:
Area = 4 x 5 / 2 = 10 square units.
Answer:
61°
this triangle is split in half and forms 2 triangles. These triangles must be congruent since they are each excatly half of this rectangle
Therefore, <2 is going to be equal to the m< the corresponding angle in the other triangle. <2 = 61°
<2 is also equal to 61° by the interior angles theorem
Step-by-step explanation:
