Answer:
The Probability that Event A and Event D occur is equal to the probability Event A occurs times the probability that Event D occurs, given that A has occurred.
We can find the values of 
and 
using the above form formula.
;
From the given table, we have the values of P(A), P(D), 
and 
.
Since, Probability=
∴
, 
, 
and 
Now, putting these values in above formula we get,
.
As, you can see above that the values of P(A|D) and P(D|A) are not equal.
Answer:
(2,2) , (0,0), (5,3)
Step-by-step explanation:
To check which points are solution to the system of inequalities, substitute the value of those points in the two inequalities and make sure are both true.
y ≤ x
y > -x +1
Point (x=2, y=2)
2 ≤ 2 ✅
2 > -2 +1 ⇒ 2 > -1 ✅
Because both inequalities are true using the coordinates of this point then the point IS a solution to the system of inequalities.
Point (x= -2, y=2)
2 ≤ -2 ❌
We stop checking because we need both inequalities to work. This point IS NOT a solution.
Point (x=0, y=0)
0 ≤ 0 ✅
0 > -0 +1 ⇒ 2 > 1 ✅
This point IS a solution.
Point (x=0, y=5)
5 ≤ 2 ❌
This point IS NOT a solution.
Point (x=2, y= -2)
-2 ≤ 2 ✅
-2 > -2 +1 ⇒ -2 > -1 ❌
This point IS NOT a solution.
Point (x=5, y=3)
3 ≤ 5 ✅
3 > -5 +1 ⇒ 3 > -4 ✅
This point IS a solution.
Point (x=4, y= -3)
-3 ≤ 4 ✅
-3 > -4 +1 ⇒ -3 > -3 ❌
This point IS NOT a solution.
Point (x=-2, y=-2)
-2 ≤ -2 ✅
-2 > - -2 +1 ⇒ -2 > 2+1 ⇒ -2 >3 ❌
This point IS NOT a solution.
Answer:
{-5, -4, -2, -1, 2, 3}
Step-by-step explanation:
Domain is x value and then you have to put in order :)
Answer:
15 feet squared
Step-by-step explanation:
Area = 6 x 5 x 1/2
Area = 30 x 1/2
Area = 15
<em>Hope that helps!</em>
Answer:
8
Step-by-step explanation:
Solution for What is 10 percent of 80:
10 percent * 80 =
( 10:100)* 80 =
( 10* 80):100 =
800:100 = 8
