Answer:
21, 144, 12
Step-by-step explanation:
Given that a sample of 30 distance scores measured in yards has a mean of 7, a variance of 16, and a standard deviation of 4.
Let X be the distance in yard.
i.e. each entry of x is multiplied by 3.
New mean variance std devition would be
E(3x) =
Var (3x) =
Std dev (3x) =
Thus we find mean and std devition get multiplied by 3, variance is multiplied by 9
Answer:
A <u>rotation 180° about the origin </u>followed by <u>a translation 3 units down</u>
Step-by-step explanation:
In the figure attached, the polygons are shown.
Rotation 180° about the origin transforms point (x, y) into (-x, -y). Then, points A, B, C, D, E are transformed into:
A (-1, 1) -> (1, -1)
B (-6, 3) -> (6, -3)
C (-6, 6) -> (6, -6)
D (-3, 6) -> (3, -6)
E (-1, 5) -> (1, -5)
Translation 3 units down transforms point (x, y) into (x, y-3). Then, previous points are transformed into:
(1, -1) -> (1, -4) which corresponds to point A'
(6, -3) -> (6, -6) which corresponds to point B'
(6, -6) -> (6, -9) which corresponds to point C'
(3, -6) -> (3, -9) which corresponds to point D'
(1, -5) -> (1, -8) which corresponds to point E'
