Answer:
A (-4, -4), B (-2, 6), C (-1, 1), D(-3, -5)
Step-by-step explanation:
Before the rotation:
A (-4, 4), B (6, 2), C (1, 1), D(-5, 3)
270° rotation clockwise is the same as 90° counterclockwise. To do that transformation:
(x, y) → (-y, x)
Therefore, the coordinates of the rotated figure are:
The formula of a slope:
If
m > 0, then a line is rising
m < 0, then a line is falling
m = 0, then a line is horizontal
m is undefined, then a line is vertical
(2, 1) and (4, 5)
(-1, 0) and (3, -5)
(2, 1) and (-3, 1)
(-1, 2) and (-1, -5)
(C.) 7(J+2B)
7 days times (1 glass of jiuce + 2 slice of bread)
Answer and Step-by-step explanation:
a)
expected value for the difference in sample means=3.5-3.2=0.3
b)
standard deviation of the sampling distribution of the difference in sample means
=sqrt((0.5^2/40)+(0.8^2/40))
=0.1492
c)
z=(0.3-0)/0.1492
z=2.01
P(z>2.01)=0.0222