The event "P and Q" is a compound event in the probability, and the true statement about the probability is P(P and Q) = 1/9
<h3>How to determine the true statement?</h3>
The probabilities are given as:
P(P) = 1/6
P(Q) = 2/3
The probability of the event P and Q is calculated using:
P(P and Q) = P(P) * P(Q)
This gives
P(P and Q) = 1/6 * 2/3
Evaluate the product
P(P and Q) = 1/9
Hence, the true statement about the probability is P(P and Q) = 1/9
Read more about probability at:
brainly.com/question/251701
Answer:
(8,9)
Step-by-step explanation:
Given



Required
Determine the 4th point
The coordinate point of a horizontal or a vertical rectangle is given as:
(x1,y1), (x2,y2), (x3,y3), (x4,y4)
Where:

So, we have:
--- 
---- 
---- 
Using the above equations:


Hence, the coordinate of the 4th point is:

Answer:
(
2
x
−
6
)
2
+
4
(
2
x
−
6
)
+
3
=
0
Simplify the left side.
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(
2
x
−
6
)
2
+
8
x
−
21
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
4
,
b
=
−
16
, and
c
=
15
into the quadratic formula and solve for
x
.
16
±
√
(
−
16
)
2
−
4
⋅
(
4
⋅
15
)
2
⋅
4
Simplify.
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x
=
4
±
1
2
The final answer is the combination of both solutions.
x
=
5
2
,
3
2
Step-by-step explanation:
Answer:

Step-by-step explanation:
slope:

Equation, with the point (19, -9):





Hope this helps