Answer:
The 95% confidence interval is 
A 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval
Step-by-step explanation:
From the question we are told that
The sample size is 
The mean is 
The standard deviation is 
Given that the confidence level is 95% then the level of significance is mathematically represented as

=> 
=> 
Next we obtain the critical value of
from the normal distribution table , the value is

Generally the margin of error is mathematically represented as

substituting values


The 95% level of confidence interval is mathematically represented as

substituting values


The 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval
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A) c=18
0.5c^2 +13=94
subtract 13 from both sides
0.5c^2 = 81
Square root of both sides to get c alone
0.5c=9
double c to make it just c
c=18
B) x=8
(x-2)^2+1=37
Subtract one from each side
(x-2)^2=36
square root each side
x-2=6
add the 2 over
x=8
(-4n^(2))* (5n^(7)):-20n to the power of 9
(2x)^(3)*(5x^(4 ))^(2): 200x to the power of 11