Answer:
Yes, the transformation is a 270° clockwise rotation
Step-by-step explanation:
(-3, 4) ,( -4, 7) and (-2,7) transformed to (-4, - 3), (-7, -4) and (-7, -2).
Rule for 270° clockwise rotation:
(x, y) --> (- y, x)
A transformation that doesn't change the size or shape of an object.
So answer is:
Yes, the transformation is a 270° clockwise rotation
Write a system of equations:
x + y = 125
20x + 15y = 2100
Solving:
x = 125 - y
20(125 - y) + 15y = 2100
2500 - 20y + 15y = 2100
2500 - 5y = 2100
-5y = 2100 - 2500
-5y = -400
y=80
x + 80 = 125
x = 125 - 80
x = 45
The first charges 45$ per hour and the second charges 80$ per hour
4y = -23 + 39
4y = 16
y = 4
Sub y = 4 into equation 2
7x + 6(4) = -39
7x + 24 = -39
7x = -39-24
7x = -63
x = -9
x = -9
y = 4
Answer:
0.6535
Step-by-step explanation:
Given that during a one-hour period twenty-five customers buy gasoline at this station.
Let X be the no of persons out of these 25 who pay by cash.
X has two outcomes and each trial is independent of other.
Hence X is binomial (n=25, p=0.40)
Required probability
=
=0.6535
13 red, 5 blue, 7 green...for a total of 25
percentage of green ones is : 7/25 = 0.28 = 28% <==