Answer:
A) 0.5
B) 0.375
C) 0.375
D) 0.167
Step-by-step explanation:
Let's call
a: Ariel
b: Bob
c: Chris
d: Diana
There are 4*3*2*1 = 24 total combinations to order the 4 children
A) Ariel is older than Diana in the following 12 cases:
a b c d
a b d c
a c b d
a c d b
a d b c
a d c b
b a c d
b a d c
b c a d
c a b d
c a d b
c b a d
Then, the probability is 12/24 = 0.5
B) The condition "Ariel is older than Diana, if it is given that Ariel is older than Bob" is satisfied in the six first cases and last three cases of before.
Then, the probability is 9/24 = 0.375
C) Ariel is older than Diana, if it is given that Chris is older than Diana, in the following cases:
a b c d
a c b d
a c d b
a d c b
b a c d
b c a d
c a b d
c a d b
c b a d
Then, the probability is 9/24 = 0.375
D) Ariel is older than Diana, if it is given that Diana is older than Bob, in the following cases:
a c d b
a d b c
a d c b
c a d b
Then, the probability is 4/24 = 0.167
Answer:
7
Step-by-step explanation:
Parallel lines have the same slope, but different y-intercepts
The slope of both lines is -2/3
To find the equation that passes through (7, 3) we can use the point-slope formula: y - y1 = m (x - x1)
y - (3) = (-2/3) (x - (7))
y - 3 = -2/3x + 4 and 2/3
y = -2/3x + 7 and 2/3
or
y = -2/3x + 7.67
:)))
Answer:
Step-by-step explanation:
we know that the sum of these two angles=180 degrees
5x/2 +125=180
5x/2=180-125=55
5x/2=55
5x=55*2
5x=110
x=110/5=22
x=22
