Let
In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:
So, the base case is ok. Now, we need to assume 
and prove 
.
states that
Since we're assuming , we can substitute the sum of the first n terms with their expression:
Which terminates the proof, since we showed that
as required
1/2bh
1/2b4 = 18
b4= 36
b= 9 yards
This graph shifted down 4 units would be y = x^2 - 2.
Different shifts in standard graphs each have to be done in their own way. Shifting up and down is done by manipulating the y-intercept, which is the number at the end of the equation. Since we started at +2 and it is going down 4, it brings us to -2.
Answer:
za/2: Divide the confidence level by two, and look that area up in the z-table: .95 / 2 = 0.475. ...
E (margin of error): Divide the given width by 2. 6% / 2. ...
: use the given percentage. 41% = 0.41. ...
: subtract. from 1.
Find each individual answer and add it together...
18 ones means 18*1=18
15 hundreds means 15*100=1500
15 tens means 15*10=150
8 thousands means 8*1000=8000
Add them...
8000+1500=9500
9500+150=9650
9650+18=<em><u>9668</u></em>
