Answer:
P(E1 ∪ E2) = P(E1) + P(E2) - P(E1 ∩ E2)
Step-by-step explanation:
As we know that, if A and B are two events then
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
⇒ P(E1 ∪ E2) = P(E1) + P(E2) - P(E1 ∩ E2)
Answer:
(-1,-0.5)
Step-by-step explanation:
We can see from our given graph that Fernando is at point (-4,-2) and Maria is at point (4,2). They will meet at the fountain located somewhere between them.
We can see that fountain will divide our given line segment internally, so we will use section formula, when a point internally divides a segment in ratio m:n.
![[\frac{m*x_2+n*x_1}{m+n},\frac{m*y_2+n*y_1}{m+n}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bm%2Ax_2%2Bn%2Ax_1%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bm%2Ay_2%2Bn%2Ay_1%7D%7Bm%2Bn%7D%5D)
Let location of Maria be point
and location of Fernando be
.
Upon substituting m=3 and n=5 in section formula we will get,
Therefore, the fountain is located at point (-1,-0.5).
Answer:
10 years
Step-by-step explanation:
Given
Decline from (0,h) to (10,0)
See attachment for graph
Required
Determine the age when height = 0
The function of the graph is represented as: (age, height)
So, we need to read from the graph the corresponding value of age (on the x-axis) when height = 0 (i.e. the y-axis)
From the attached graph;
when 
<em>Hence, the age of the car is 10 years</em>