Answer:
The joint probability of the two events is one.
Step-by-step explanation:
Complementary events:
If two events are complimentary, these three following things are true:
They are dependent.
The intersection of them is zero.
The joint probability of the two events is one.
The last one is the correct choice.
Answer:
A) -4
B) 4 units apart
C) no values of x
Step-by-step explanation:
1) slope of m: (3-2)/(10-8) = ½
m(x) = ½x + c
2 = ½(8) + c
c = -2
m(x) = ½x - 2
m(16) = 6
h(4) = (4-2)²/2 = 4/2 = 2
h(4)-m(16) = 2-6 = -4
B) y-intercept of:
*h(x) = ½(0-2)² = 2
*m(x) = -2
from the equation found before
2 - (-2) = 4 units apart
C) m(x) = (x-4)/2
m(x) > h(x)
(x-4)/2 > ½(x-2)²
x-4 > x²-4x+4
x²-5x+8 < 0
(x - 2.5)² + 1.75 < 0
Never negative
12 is divisible by 1,2,3,4,6,12 and 27 is by 1,3,9,27 so the GCF is 3
Answer: y=6x-12
Step-by-step explanation:
Answer:
Let the coordinate of focus be 
As per the statement: The base of an auditorium is in the form of an eclipse 200 feet long and 100 feet wide.
⇒Length of Major axis=base of an auditorium = 200 feet and Length of a minor axis=wide of a auditorium = 100 ft
Semi-major axis (a) = 100 ft and
semi-minor axis(b) = 50 ft
Then, by an equation:
Solve for c:
Substitute the given values we have;
Simplify:
or
ft
Distance between the foci is, 
Therefore, the distance between the foci to the nearest 10th of a foot is, 173.2 ft
