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: c) 3
<u>Step-by-step explanation:</u>
Plug in y = -9 and the given x-value to see if it makes a true statement.
a) -4.5 falls in the piecewise function x < -3 --> y = -x
y = -x
-9 = -(-4.5)
-9 = 4.5 FALSE
b) -3 falls in the piecewise function -3 ≤ x ≤ -2 --> y = 2x
y = 2x
-9 = 2(-3)
-9 = -6 FALSE
c) 3 falls in the piecewise function x > -2 --> y = -x²
y = -x²
-9 = -(-3)²
-9 = -9 TRUE
d) 9 falls in the piecewise function x > -2 --> y = -x²
y = -x²
-9 = -(9)²
-9 = -81 FALSE
There really isn’t a possible answer since there is not enough information given. Not from what I have learned so far at least, but using common sense, and the process of elimination I would say 30
To find the slope, use the slope(m) formula:
and plug in the two points
(0, 5) = (x₁, y₁)
(-9, -4) = (x₂, y₂)
[two negatives cancel each other out and become positive]
m = 1 The slope is 1
Download math papa.... helped me tremendously
