Answer:
E= 6.45
standard deviation is σ = 15,
The critical value is z(α/2) = 2.58.
Step-by-step explanation:
Margin error is the value that is lie above and below the sample.It gives percentage of numbers.Its is the product of critical value standard deviation and standard error of statistic.
General formula for the margin of error is
Margin of error = critical value × standard error of statistic
=
× σ √n
z-value from two tailed is listed below:
From the table of standard normal distribution, probability value of 0.10.
row and column values gives the area to the two tail of z.
The positive z value is 2.58.
standard deviation is σ = 15,
The critical value is z(α/2) = 2.58.
after putting these vales we obtain the margin of error value that is
E= 6.45
Answer:
When p2 – 4p is subtracted from p2 + p – 6, the result is:
p2+p-6-(p2-4p)=p2+p-6-p2+4p=5p-6
To get p – 9, subtract from this result x:
5p-6-x=p-9
Solving for x:
5p-6-x+x-p+9=p-9+x-p+9
4p+3=x
x=4p+3
Answer:
1) When p2 – 4p is subtracted from p2 + p – 6, the result is 5p-6
2) To get p – 9, subtract from this result 4p+3
Step-by-step explanation:
-4 = 8m + 18n
-18n = 8m + 4
/-18 /-18 /-18
n = 8m/-18 + 4/-18
I'm not sure so yeah
Mean = 60 / 4 = 15
13 - 15 = -2
17 - 15 = 2
9 - 15 = -6
21 - 15 = 6
Total of squares = 4 + 4 + 36 + 36 = 80
because this is a sample we divide this by n - 1 ( = 3)
Standard deviation = sqrt (80/3) = 5.16 answer
General Idea:
When a point or figure on a coordinate plane is moved by sliding it to the right or left or up or down, the movement is called a translation.
Say a point P(x, y) moves up or down ' k ' units, then we can represent that transformation by adding or subtracting respectively 'k' unit to the y-coordinate of the point P.
In the same way if P(x, y) moves right or left ' h ' units, then we can represent that transformation by adding or subtracting respectively 'h' units to the x-coordinate.
P(x, y) becomes
. We need to use ' + ' sign for 'up' or 'right' translation and use ' - ' sign for ' down' or 'left' translation.
Applying the concept:
The point A of Pre-image is (0, 0). And the point A' of image after translation is (5, 2). We can notice that all the points from the pre-image moves 'UP' 2 units and 'RIGHT' 5 units.
Conclusion:
The transformation that maps ABCD onto its image is translation given by (x + 5, y + 2),
In other words, we can say ABCD is translated 5 units RIGHT and 2 units UP to get to A'B'C'D'.