A dilation is a transformation
, with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'.
The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.
In a dilation of
the scale factor, k is mapping the original figure to the image in such a way that the
distances from O to the vertices of the image are k times the distances
from O to the original figure. Also the size of the image are k times the
size of the original figure.
Thus for a dilation using the rule
results in the distance of the image form O being twice the distance of the original point from O.
Therefore, it can be observed that the scale factor of the dilation, k, is 2.
Answer:
1. 
2. 
Step-by-step explanation:
Given
Variation: inverse Proportion
y = 7, x = 9
Required
- Write an equation connecting y and x
- Find y when x = 21
Given that thee variation is inversely proportional;
This implies that
Convert variation to equation
----------- Equation 1
Where k is the constant of variation
Substitute 7 for y and 9 for x in equation 1
Multiply both sides by 9
Substitute 63 for k in equation 1
Multiply both sides by x
Hence, the equation connecting x and y is
Solving for when x = 21
Substitute 21 for x in the above equation
Divide both sides by 21
Answer:
-306
Step-by-step explanation:
... -300, -302, -304, -306, -308, -310, -312 ...
We' supposed to indicate which statement is true/false.
Note that, if a sample size is 40 or over, we can use the t distribution even with skewed data. So it's not highly sensitive to non-normality of the population from which samples are taken. So statement A is false.
It's true that the t-distribution assumes that the population from which samples are drawn is normally distributed. So B is true.
For skewed data or with extreme outliers, we can't use the t distribution. We only use t distribution as long as we believe that the population from which samples are drawn is closed to a bell-shape. So C is true.
Lastly, statement D is against statement C. So D is false.
