Answer:
Step-by-step explanation:
Now sum of infinite series is
a
1
−
r
and if first three term are removed, fourth term becomes the first term i.e. first term becomes
a
r
3
and
sum of infinite series becomes
a
r
3
1
−
r
As
a
1
−
r
=
27
×
a
r
3
1
−
r
27
r
3
=
1
or
r
3
=
1
27
and
r
=
1
3
and hence
Common ratio is
1
3
Discriminant b^2-4ac = (-9)^2 - 4*2*9 = 9
so there are 2 roots
because of the -9x and 9 they will both be positive
For the answer to the question above asking w<span>hy do we need to integrate probabilities in statistics?
Well, i</span>ntegration is used very very often in theoretical statistics. Transformation relates to the result that data values that are modelled as being random variables from any given continuous distribution can be converted to random variables having a standard uniform distribution. So, we need to see other possibilities by combining<span> (one thing) with another.</span>
Answer:
Emily=24 marbles Zak=8 marbles
Step-by-step explanation:
sum of ratio= 3+1=4
Emily: Zak= 3:1
no. of marbles for Emily= 
×total no. of marbles
= 
×32
=24 marbles
No. of marbles for Zak= 
×32
=8 marbles
