It is equal to 3.6 kilogram
or 128 oz
Answer:
neither
Here's how you know:
first, i'll simplify it so both are in slope-intercept form (y = mx + b).
x-3y=6
-3y = 6 - x
y = (1/3)x - 2
y=3x+4 is already in slope-intercept form, yay :)
these lines are neither parallel nor perpendicular.
The equations of parallel lines have THE SAME SLOPES (y = <em>m</em>x + b --> m would be exactly the same).
In contrast, perpendicular lines have NEGATIVE RECIPROCAL SLOPES (y = <em>m</em>x + b --> m would be <em>-1/m</em>).
<u><em>--> since the slopes of these match neither of these definitions, we know it must be neither.</em></u>
Answer:
a) the sample proportion planning to vote for Candidate Y is 
b) the standard error of the sample proportion is ≈ 0.024
c) 95% confidence interval for the proportion of the registered voter population who plan to vote for Candidate Y is (0.353,0.447)
d) 98% confidence interval for the proportion of the registered voter population who plan to vote for Candidate Y is (0.344,0.456)
Step-by-step explanation:
a) The sample proportion planning to vote for Candidate Y is:

b) The standard error of the sample proportion can be found using
SE=
where
- p is the sample proportion planning to vote for Candidate Y (0.4)
- N is the sample size (400)
Then SE=
≈ 0.024
c) 95% confidence interval for the proportion of the registered voter population who plan to vote for Candidate Y can be calculated as p±z×SE where
- p is the sample proportion planning to vote for Candidate Y (0.4)
- SE is the standard error (0.024)
- z is the statistic for 95% confidence level (1.96)
Then
0.4±(1.96×0.024)=0.4±0.047 that is (0.353,0.447)
d) 98% confidence interval is similarly
0.4±(2.33×0.024)=0.4±0.056 that is (0.344,0.456) where
2.33 is the statistic for 98% confidence level.
Can you elaborate? are you
looking for an overall explanation or asking for a specific questions
Let <em>f(x)</em> = <em>x</em>³ + <em>x</em> - 5. <em>f(x)</em> is a polynomial so it's continuous everywhere on its domain (all real numbers). Since
<em>f</em> (1) = 1³ + 1 - 5 = -3 < 0
and
<em>f</em> (2) = 2³ + 2 - 5 = 5 > 0
it follows by the intermediate value theorem that there at least one number <em>x</em> = <em>c</em> between 1 and 2 for which <em>f(c)</em> = 0.