Step-by-step explanation:
Given
if x = 5 Then
(x+ 3)²
= ( 5 + 3) ²
= 8²
= 64
Hope it will help :)❤
Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
The margin of error is given by:

In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
The estimate is of
, while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.






Rounding up, 1016 constituents are required.
More can be learned about the z-distribution at brainly.com/question/25890103
Answer:
b
Step-by-step explanation:
sorry if wrong dont report
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]
Answer:
down below
Step-by-step explanation:
1) 4% of 120 = 4.8, so 120+4.8 = 124.8 cm tall
2) 12% of 6000 = 720 . 6000-720 = 5280 gallons
3) 22% of 200 = 44 . 200-44 = 156
4) 30% of 40 - 12 . 40 - 12 = $28
5) 35% of 140 = $49 . 140 + 49 = $189