Answer:
The 80% confidence interval would be given by (0.339;0.401)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
For this case the estimated proportion of interest would be
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by and . And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 80% confidence interval would be given by (0.339;0.401)
Answer:
Volume = 525 in³
Step-by-step explanation:
Volume = 25 x 7 x 6 x 0.5 = 525 in³
Answer:
Step-by-step explanation:
<u><em>The complete question is</em></u>
The given line passes through the points (−4, −3) and (4, 1).
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, 3)?
step 1
Find the slope of the given line
The formula to calculate the slope between two points is equal to
we have
(−4, −3) and (4, 1)
substitute the values
step 2
Find the slope of the perpendicular line to the given line
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
so
we have
---> slope of the given line
so
---> slope of the perpendicular line to the given line
step 2
Find the equation in point slope form
we have
substitute
----> equation in point slope form
(x+y) / 2 =7
multiply both sides by 2
x+y=14
3x=.5y
divide both sides by .5
6x=y
plug 6x in for y
x+(6x)=14
simplify
7x=14
divide both sides by 7
x=2
The answer is 500 m.
d = u * t + 1/2 a * t²
We know:
d = ? (distance)
u = 0 (the initial velocity)
t = 10 s (time
a = 10 m/s² (acceleration
d = u * t + 1/2 a * t²
d = 0 * 10 + 1/2 * 10 * 10²
d = 0 + 1/2 * 10 * 100
d = 500 m