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:
Not sure but the answer to 14(3/2 x 1/4) is 5.25
Step-by-step explanation:
Answer:
y = 10
Step-by-step explanation:
based on the question if y varries directly as x
mathematically
y ∝ x
also, y varries inversly as z can be mathematically expressed as
y ∝ 1/z
combining the two expressions
y ∝ x ∝ 1/z
i. e
y = kx/z..... where k is the constant of proportionality
make k the subject of formulae
yz = kx
Divide both sides by x
k =yz/x
when y=100 , x = 5 z =10
k = 100 × 10/5
k = 200
to find y when x = 3 and z = 60
<h3>from the equation connecting x,y,z</h3>
k =yz/x
200 =60y/3
cross multiply
60y = 200 × 3
60y = 600
divide both sides by 60
y = 10
Answer:
16, 56, ...
Step-by-step explanation:
It looks like you have to put in each cell the multiplication of the row and the column, so the columns are 2, 7, 4 etc., and the row is always 8.
First cell: 2x8 = 16
Second cell: 7x8 = 56
and so on
It teaches you to apply the multiplication in a random sequence; you should be able to do this in your head.
Answer:
35°
Step-by-step explanation:
The important information is that the angle is complementary to the angle 55°. A complementary angle is and angle plus another that equal 90°.
55° + x° = 90°
x = 35°