9514 1404 393
Answer:
5) 729, an=3^n, a[1]=3; a[n]=3·a[n-1]
6) 1792, an=7(4^(n-1)), a[1]=7; a[n]=4·a[n-1]
Step-by-step explanation:
The next term of a geometric sequence is the last term multiplied by the common ratio. (This is the basis of the recursive formula.)
The Explicit Rule is ...
for first term a₁ and common ratio r.
The Recursive Rule is ...
a[1] = a₁
a[n] = r·a[n-1]
__
5. First term is a₁ = 3; common ratio is r = 9/3 = 3.
Next term: 243×3 = 729
Explicit rule: an = 3·3^(n-1) = 3^n
Recursive rule: a[1] = 3; a[n] = 3·a[n-1]
__
6. First term is a₁ = 7; common ratio is r = 28/7 = 4.
Next term: 448×4 = 1792
Explicit rule: an = 7·4^(n-1)
Recursive rule: a[1] = 7; a[n] = 4·a[n-1]
Siamone has $65.32 + DAN
Dan has CARLY - $37.50
CARLY = $127.75
Plug Carly into Dan's equation...
$127.75 - $37.50 = $90.20
DAN = $90.20
Plug Dan into Siamone's equation
$65.32 + $90.20 = $155.57
Divide 560 by 23, 23 goes into 560 24.347 times.
Answer:
--- test statistic
--- p value
Conclusion: Fail to reject the null hypothesis.
Step-by-step explanation:
Given
--- Null hypothesis
---- Alternate hypothesis
Solving (a): The test statistic
This is calculated as:
So, we have:
Solving (b): The p value
This is calculated as:
So, we have:
Look up the z probability in the z score table. So, the expression becomes
Solving (c): With , what is the conclusion based on the p value
We have:
In (b), we have:
By comparison:
i.e.
So, we fail to reject the null hypothesis.
Let, the height of a tree = x
Then, x/16 = 5 1/4 / 4
x/16 = 21 / 4*4
x/16 = 21/16
x = 21
In short, Height of the Tree is 21 Feet
Hope this helps!
