Answer:
False.
Event A and event B are not independent.
Step-by-step explanation:
We know that event A and event B are
A= {2,4} and B= {2,4,5}.
If the following condition satisfies then event A and event B are independent:
P( A and B)= P(A)*P(B).
Now A and B=?
A and B=A∩B= {2,4} ∩ {2,4,5}
A and B=A∩B={2,4}
The single fair die results in 6 outcomes so, the sample space will contain 6 elements.
Thus,
P(A∩B)=2/6=1/3
P(A)=2/6=1/3
P(B)=3/6=1/2
P(A)*P(B)=1/3*1/2=1/6
As,
P(A∩B)≠P(A)*P(B)
1/3≠1/6
Thus, events A and event B are dependent.
Answer:
Step-by-step explanation:
<h3>Given </h3>
- Segment RS and midpoint M(-1, 13)
- S = (4, 12)
- R = ?
<h3>Solution</h3>
<u>Midpoint formula</u>
- x = (x1 + x2)/2 and y = (y1 + y2)/2
<u>Coordinates of point R</u>
- -1 = (4 + x)/2 ⇒ 4 + x = -2 ⇒ x = -6
- 13 = (12 + y)/2 ⇒ 12 + y = 26 ⇒ y = 14
- R = (-6, 14)
Ok so in order to do this, you have to set up an equation. Let's make a=the score of the first test and b=the score of the second test. (You can choose different variables, it doesn't matter.) It says the sum of the two equals 170. So, a+b=170. It also says that the score of the first was 6 less than the second. This can be shown as a=b-6. Now you can plug this in for a in your original equation. It will look like:
(b-6)+b=170
You can solve for b.
2b-6=170
2b=176
b=88
Since you want a, plug into either equation for b. I'll use the second one.
a=88-6
So, a=82
