Answer with Step-by-step explanation:
We are given that
P(A)=0.4 and P(B)=0.7
We know that

We know that
Maximum value of
=1 and minimum value of
=0






It is not possible that
is equal to 1.1


Multiply by (-1) on both sides

Again, 



Multiply by (-1) on both sides

Hence, 
Answer:
42 cm.
Step-by-step explanation:
Please find the attachment.
Let x be the length of diagonal of the square.
We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.
We can see from our diagram that triangle AC is the diagonal of our square.
Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.
Upon substituting our given values in above formula we will get,



Let us take square root of both sides of our equation.


Therefore, the length of diagonal of our given square is 42 cm.
Answer:
Step-by-step explanation:
First factor the second binomial
38^9 - 38^8 = 38^9 (38 - 1 ) = 38^9(37)
So there's your 37. This whole expression is divisible by 37
Now do the first binomial
36^5 - (36^4)*6
36^4(36 - 6)
36^4(30) and there's your thirty.
That first term is going to cause a bit of trouble showing that 36^4 * 6 = 6^9
6(36^4) = 6(6^2)^4 = 6^1 * 6^8 = 6^9
So this factors into 30*(36^4)*37*38^9
Find the lcd:
3*7*8*5*3=2520