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
Half = 0.5
x-the number
<span>Ten times the sum of half a number and 6 is 8:
10 · (0.5x + 6) = 8 |use distributive property: a(b + c) = ab + ac
5x + 60 = 8 |subtract 60 from both sides
5x = -52 |divide both sides by 5
<span>x = -10.4</span></span>
Answer:
Step-by-step explanation:
Comment
18 factors into 2 * 3 * 3
Both factors have an a^2 under the root sign. The rule for that is take 1 a outside the root sign and throw the other one away.
The same rule applies to the two 3s that factor 18.
What you get is
3a√2 * 4*a*√3
Answer 12a^2 √2 * √3
Answer: 12a^2 * √6
Answer:
4(6q-19u-13b+17i)
Step-by-step explanation:
each of the variables is divisble by 4, thus allowing you to factor out 4.