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 ]
1 hour = 60 minutes
2 3/4 hours = 165 minutes
Answer:
a. 126 pie cm^3
Step-by-step explanation:
Area of a circle = pi*r²
Volume = area*height
(pi*r²)*14
Since your answers are with Pi omit the Pi and times 3² * 14 = 126 pie cm³
Answer:
(- 19, - 11, 5, 25)
Step-by-step explanation:
The given function is f(x) = 4x - 7
Now, we have to find the range of the given function for the given domains.
The domains are given as (2 - 5, - 1, 3, 8) i.e. (- 3, - 1, 3, 8).
Therefore, f(- 3) = 4(- 3) - 7 = - 19
f(- 1) = 4(- 1) - 7 = - 11
f(3) = 4(3) - 7 = 5
f(8) = 4(8) - 7 = 25
So, the ranges of the function are (- 19, - 11, 5, 25) (Answer)