Step-by-step explanation:

Answer:
f(0) = 0.25 = 1/4
f(x) = f(x-1) × 2/3
Step-by-step explanation:
a0 = 0.25×(2/3)⁰ = 0.25×1 = 0.25 = 1/4
a1 = 0.25×(2/3)¹ = 0.25×(2/3) = 1/4 × 2/3 = 2/12 = 1/6 =
= a0 × 2/3
a2 = 0.25×(2/3)² = 0.25×(4/9) = 1/4 × 4/9 = 4/36 = 1/9 =
= a1 × 2/3
=>
an = an-1 × 2/3, n >= 1
but what about negative x ?
is a0 = a-1 × 2/3 ?

so, yes, a0 = a-1 × (2/3)
and a-1 = a-2 × (2/3)
...
Answer:
8.5 feet
Step-by-step explanation:
1.5 times 4
Answer:
The interval from the sample of size 400 will be approximately <u>One -half as wide</u> as the interval from the sample of size 100
Step-by-step explanation:
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion
Generally the margin of error is mathematically represented as
Here assume that
is constant so

=> 
=> 
So let
and 
=> 
=> 
=> 
So From this we see that the confidence interval for a sample size of 400 will be half that with a sample size of 100