Answer:
[ 0.4964, 0.5836 ]
Step-by-step explanation:
Data provided in the question:
Total sample size = 500
person voting for smith = 270
thus,
P( person voting for smith ), p = 
= 0.54
Confidence level = 95%
now,
standard error, SE = 
or
SE = 
or
SE = 0.0223
now,
Confidence interval = p ± ( z × SE )
here,
z value for 95% confidence interval is 1.96
Confidence interval = [ 0.54 - ( 1.96 × 0.0223 ), 0.54 + ( 1.96 × 0.0223 ) ]
= [ 0.54 - 0.0436 , 0.54 + 0.0436 ]
= [ 0.4964, 0.5836 ]
What are the measurements???
Answer:
31.46 km/hr to the nearest 100th
Step-by-step explanation:
10:55 to 11:00 is 5 min
11:00 to 12:00 is 60 min
12:00 to 12:38 is 38 min
That's 5 + 60 + 38 = 103 min = 103/60 hr. = t
d = rt
54 = 103/60(r)
r = 54(60)/103 =31.46 km/hr to the nearest 100th
If you want I can show you how to solve it
The given sequence is
a₁, a₂, ...,
Because the given sequence is an arithmetic progression (AP), the equation satisfied is
where
d = the common difference.
The common difference may be determined as
d = a₂ - a₁
The common difference is the difference between successive terms, therefore
d = a₃ - a₂ = a₄ - a₃, and so on..
The sum of the first n terms is
Example:
For the arithmetic sequence
1,3,5, ...,
the common difference is d= 3 - 1 = 2.
The n-th term is
For example, the 10-term is
a₁₀ = 1 + (10-1)*2 = 19
Th sum of th first 10 terms is
S₁₀ = (10/2)*(1 + 19) = 100
