Answer:
The translation is 3 units left and 2 units down
Step-by-step explanation:
we know that
Point A is located at (1,5) and point A’ is located at (-2,3)
so
The rule of the translation is
(x,y) -----> (x+a,y+b)
(1,5) ----> (-2,3)
Find the values of a and b
1+a=-2 ----> a=-2-1 ----> a=-3
5+b=3 ----> b=3-5 ----> b=-2
so
The rule of the translation is
(x,y) -----> (x-3,y-2)
That means -----> The translation is 3 units left and 2 units down
Answer: Probability that Box A was chosen given that black marble is chosen is 0.5.
Step-by-step explanation:
Since we have given that
Number of boxes = 2
In Box A,
Number of black marbles = 1
Number of white marbles = 3
In Box B,
Number of black marbles = 2
Number of white marbles = 4
Since black marble is selected.
So, using Bayes theorem , we get that

Hence, probability that Box A was chosen given that black marble is chosen is 0.5.
Answer:
One
Step-by-step explanation:
Through any 2 points, there is exactly one line.
A is the answer because if you calculate the answer correctly. that will be so.