Probaility is (desired outcomes)/(total possible outcomes)
odd numbers of dice is 3 (1,3,5)
desired outcomes =3
dice has 6 numbers
total possible outcomes of diece=6
3/6=1/2=dice
coin
tails=1
desired outcomes=1
total possibe=2 since 2 sides (head and tails)
cond poinbabiotiuyy=1/2
they are independend of each other since they do not influence each other
if they were like 'pick 2 collor balls and see what color you get, when you pick one, there is 1 less ball int he bucket so the propbabilit changes'
so
assuming that
P(M and N)= means
'the probability of M and N are both equal to "
The two events are independent. In the given scenario, P(M and N) =1/2.
Given:
Two endpoints of a diameter of a circle:
P (-7, -10)
Q (3, 2)
a) To find the center of the circle, find the midpoint of the two points:
midpoint:
(x2 - x1 )/ 2 , (y2 - y1) / 2
x= (2 - (-7))/2 = 4.5
y= (3 - (-10))/2 = 6.5
Therefore, the center of the circle is at C(4.5, 6.5)
b) To find the radius of the circle, we need to find the distance between the two points and divide by 2.
d = √(y2-y1)^2 + (x2 - x1)^2
d = √(2-(-7))^2 + (3 - (-10))^2
d = 5√10 = diameter
r = d/2 = 5√10 /2
The equation for slope is:
(y2 - y1) / (x2 - x1)
-2 -(-7) = 5
-9 -(-1) = -8
Slope of the line:
5/-8 or -5/8
12 - t|3r - 2|
r = -6; t = 3
subtitute:
12 - 3 · |3 · (-6) - 2| = 12 - 3 · |-18 - 2| = 12 - 3 · |-20| = 12 - 3 · 20 = 12 - 60 = -48
