Answer: Events A and B are independent.
=============================================
Explanation:
Note how,
P(A)*P(B) = 0.5*0.2 = 0.1
which matches exactly with P(A and B) = 0.1
Therefore,
P(A and B) = P(A)*P(B)
is a true statement. This further leads to events A and B being independent.
The number of red beads are increasing by 2 for each new pattern
The next number of reds will be 12. ( in patern 5)
number of blue beads in pattern 5 will be 15 ( increasing by 3 )
nth term for red = 4 + 2 (n-1) ( its an arithmetic sequence)
nth term for blue = 3 + 3(n - 1) - as above ,arithmetic.
Total beads in pattern 45 is
No. red beads in pattern 26 = 4 + 2(26-1) = 4 + 50 = 54
No blue beads in pattern 60 = 3 + 3(59) = 180
Total number of beads in pattern 45 is:-
4 + 2(44) + 3 + 3(44) = 227
Answer:
Given the statement: if y =3x+6.
Find the minimum value of 
Let f(x) =
Substitute the value of y ;
Distribute the terms;
The derivative value of f(x) with respect to x.
Using 
we have;
Set 
then;
By zero product property;
and 2x + 3 = 0
⇒ x=0 and x = 
then;
at x = 0
f(0) = 0
and
x = -1.5
Hence the minimum value of is, -5.0625
Answer:
I think he made a mastake a step 3
Step-by-step explanation:
Answer B would be the best answer because it states how the prices differ and the 1 Liter bottle is able to go into the 2 liter bottle almost two times. Answer A could also be correct but B is more descriptive.
