Find the slope of the line that passes through the points (4, 3) and (2, 7).
1 answer:
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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 ]
5(3 - x) - 4(2 - 3x) > 2
15 - 5x - 8 + 12x > 2 <em>distributed 5 and 4 on the left side</em>
7 + 7x > 2 <em>added like terms (15 and -8) and (-5x and 12x)</em>
<u> -7 </u> <u>-7 </u>
7x > -5