Answer:
The sample mean is
b.3.55
The margin of error is
0.32
Step-by-step explanation:
Deep explanation about a confidence interval
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the mean subtracted by M. So it is 6.4 - 0.3944 = 6.01 hours.
The upper end of the interval is the mean added to M. So it is 6.4 + 0.3944 = 6.74 hours.
In this problem:
The deep explanation is not that important.
We just have to recognize that the interval has a lower end and an upper end. The distance from both the upper and the lower end to the mean is M. This means that the sample mean is the halfway point between the lower end and the upper end.
The margin of error is the distance of these two points(lower and upper end) to the mean.
In our interval
Lower end: 3.23
Upper end: 3.87
Sample mean
So the correct answer is:
b.3.55
The margin of error is
3.87 - 3.55 = 3.55 - 3.23 = 0.32
Answer:
9:52
Step-by-step explanation:
First, let's rewrite "twenty-seven minutes past six", into a standard digital clock form. We could write 6:27. Now, it's easier to see that if we add 3 hours first, we would get to 9:27. And then if we add 25 minutes, we will get to 9:52.
Answer:
x | y | (x,y)
0 | 35 | (0,35)
3 | 50 | (3,50)
-7 | 0 | (-7,0)
Step-by-step explanation:
Given the equation: 
, to complete the table, plug in the value of x given in the table in each row, to find y.
When x = 0,
(0,35)
When x = 3,
(3,50)
When x = -7,
(-7,0)
We have that
A(-2,-4) B(8,1) <span>
let
M-------> </span><span>the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3
we know that
A--------------M----------------------B
2 3
distance AM is equal to (2/5) AB
</span>distance MB is equal to (3/5) AB
<span>so
step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
</span>Mx=-2+(2/5)*10-----> Mx=2
step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
Ay=-4
dABy=(1+4)=5
Mx=-4+(2/5)*5-----> My=-2
the coordinates of point M is (2,-2)
see the attached figure
Answer:
The answer is False,
Step-by-step explanation:
The answer is False because in some expressions if there are parentheses and there is a subtraction problem in the parentheses but there is an addition problem in front of the parentheses that does not exactly mean that you do the addition first, this is because the subtraction is inside the parentheses and so since the subtraction is in parentheses it is done fist.
