Given that points Q, R, S lies between O and P meaning that the points are between 0 and 3
<u>Draw a number line and find three equal points</u>
so points:
Answer:
<em>one</em><em> </em><em>solution</em><em> </em>
<em>no</em><em> </em><em>solution</em><em> </em>
<em>infinity</em><em> </em><em>solutions</em><em> </em>
Step-by-step explanation:
A: If the graphs of the equations intersect, then there is one solution that is true for both equations.
B; If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.
C; If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations
Answer:

Step-by-step explanation:
If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.



Equation of a circle: 
(where (h, k) is the center and r is the radius)
Substituting found center (-2, 2) into the equation of a circle:


To find
, simply substitute one of the points into the equation and solve:



Therefore, the equation of the circle is:

Answer:
Probability that a house has a hot tub given that it has a pool is 55%.
Step-by-step explanation:
We are given that in New York State, 38% of the houses have a pool and 21% of the houses have both a pool and a hot tub.
Let the probability that houses have a pool = P(A) = 0.38
Also, let B = event that houses have a hot tub
Probability that houses have both a pool and a hot tub =
= 0.21
Now, the conditional probability that a house has a hot tub given that it has a pool is given by = P(B / A)
<u>As we know that</u>; P(B / A) =
=
= 0.553 ≈ 55%
Hence, the probability that a house has a hot tub given that it has a pool is 55%.
3*5=15
15-4=11
therefore 11 is your answer