if events X and Y are independent, then for intersection we multiply the probability
P(Y∩X) = P(Y) * P(X)
We know that

Now we replace P(Y) * P(X) for P(Y∩X)

Cancel out P(X)
So 
Like that

Now we replace P(X) * P(Y) for P(X∩Y)

Cancel out P(Y)
So 
P(Y | X) = P(Y) and P(X | Y) = P(X) are true
Answer:
64 and 34
Step-by-step explanation:
Given
a + b = 8 ( square both sides )
(a + b)² = 8² = 64
------------------------------------------------
(a + b)² = 64 ← expand left side
a² + b² + 2ab = 64 ← substitute ab = 15
a² + b² + 2(15) = 64
a² + b² + 30 = 64 ( subtract 30 from both sides )
a² + b² = 34
Answer:
x = -11
Step-by-step explanation:
Answer:
V = 196 mm³
Step-by-step explanation:
( 7/21 )³ = V / 5292
343 / 9261 = V / 5292
9261 V = 343 * 5292
V = 196 mm³