Answer with Step-by-step explanation:
We are given that two events A and B are mutually exclusive.
a.For mutually exclusive events,
Therefore, event A can not occurred if event B has occurred because two events can not occur together.
Answer:No, by definition mutually exclusive events cannot occur together.
b.When two events are independent
Then , 
If two events are mutually exclusive then
Then , 
Therefore, 
Hence, we can concluded that events A and B are not independent if they are mutually exclusive.
Answer:Yes,
Answer:
31.4 in
Step-by-step explanation:
This is a tricky question,
if you observe the shape carefully, you will notice that if you mirror (flip outward) each curve surface of each quardrant, what you will end up with is a complete circle with a radius of 5 inches.
Hence the combined length of all the curved surfaces is simply the circumference of the circle, given by:
Circumference = 2πr
= 2 x 3.14 x 5
= 31.4 in
Answer:
Step-by-step explanation:
Rewrite the quadratic using the method of completing the square:
From this form it is immediately clear that the vertex of the parabola is at x=1 and its y-intercept at -6.
It is basically the halfway through the circle
Answer:
See below in bold.
Step-by-step explanation:
1. The 3 angles in a triangle add up to 180 degrees.
So x = 180 - (55 + 25)
= 180 - 80
= 100 degrees.
2. The 4 angles in a quadrilateral add up to 360 degrees,, so
3x + 127 + 54 + 119 = 360
3x + 300 = 360
3x = 360 - 300
3x = 60
x = 20 degrees.
3. Exterior angle
= 94 + 42
= 136 degrees.
