I might be wrong but I think it is 50 .
Lantana needs $1776 to reach its goal of $14000
Answer: The number of first-year residents she must survey to be 95% confident= 263
Step-by-step explanation:
When population standard deviation (
) is known and margin of error(E) is given, then the minimum sample size (n) is given by :-
, z* = Two-tailed critical value for the given confidence interval.
For 95% confidence level , z* = 1.96
As,
= 8.265, E = 1
So, ![n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]](https://tex.z-dn.net/?f=n%3D%20%28%5Cdfrac%7B1.96%5Ctimes8.265%7D%7B1%7D%29%5E2%20%3D%2816.1994%29%5E2%5C%5C%5C%5C%3D%20262.42056036%5Capprox263%5C%20%5C%20%5C%20%5B%5Ctext%7BRounded%20to%20the%20next%20integer%7D%5D)
Hence, the number of first-year residents she must survey to be 95% confident= 263
Answer:
The closed linear form of the given sequence is 
Step-by-step explanation:
Given that the first term
and 
To find the closed linear form for the given sequence
The formula for arithmetic sequence is
(where d is the common difference)
The above equation is of the given form 
Comparing this we get d=0.75
With
and d=0.75
We can substitute these values in



Rewritting as below

Therefore 
Therefore the closed linear form of the given sequence is 
= 6.25%
= 0.0625
= 625/10000
= 1/16