Answer: (0.076, 0.140)
Step-by-step explanation:
Confidence interval for population proportion (p) is given by :-
, where 
= sample proportion.
n= sample size.
= significance level .
= critical z-value (Two tailed)
As per given , we have
sample size : n= 500
The number of Independents.: x= 54
Sample proportion of Independents
Significance level 98% confidence level : 
By using z-table , Critical value : 
The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-
Hence, the 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters.= (0.076, 0.140)
The confidence interval is
. This means that we can be 99% confident that the mean number of books people read lies between 9.15 and 11.85.
To find the confidence interval, we first find the z-score associated with it:
Convert 99% to a decimal: 0.99
Subtract from 1: 1-0.99=0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table (http://www.z-table.com) we see that this is associated with a z-score between 2.57 and 2.58. Since both are equally far from this value we will use 2.575.
We calculate the margin of error using
This means that the confidence interval is
The lower limit is given by 10.5-1.35 = 9.15.
The upper limit is given by 10.5+1.35 = 11.85
Answer:
Jean paid $2,286 for the snow thrower, with a finance charge of $306.
Step-by-step explanation:
Given that Jean bought a $ 1,980 snow thrower through an initial payment of 10% of the initial value, and 18 monthly payments of $ 116, to determine the final price paid by Jean, the following calculation is required:
(1,980 x 0.1) + (18 x 116) = X
198 + 2,088 = X
2,286 = X
Therefore, the final price paid for Jean was $ 2,286.
In turn, the finance charge arises from the difference between the final price and the list price, that is:
2,286 - 1,980 = X
306 = X
Thus, the finance charge is $ 306.
Answer:
S={( 1 )}
Step-by-step explanation:
-3x²+6x+1=4
-3x²+6x+1-4=0
-3x²+6x-3=0
∆=b²-4.a.c
∆=(6)²-4.(-3).(-3)
∆=36-36
∆=0
x'=x"=-b/2a=-(+6)/2.(-3)=-6/-6=1
Answer:
see explanation
Step-by-step explanation:
Part 1
The n th term of a geometric sequence is
= a
where a is the first term and r the common ratio
Given 
= 128, then
a
= 128, that is
32a = 128 ( divide both sides by 32 )
a = 4 ← first term
Part 2
= 4
= 4 × 1048576 = 4194304
