Answer:
Option B
Step-by-step explanation:
Let the point O is the origin.
Then the coordinates of the vertices A,B and C will be,
A → (-12, -8)
B → (-8, 0)
C → (-6, -4)
Rule for the dilation of a point (x, y) by scale factor 'k' about the origin is,
(x, y) → (kx, ky)
By this rule, coordinates of the vertices of the image triangle will be,
If k = ,
A(-12, -8) → A'(-6, -4)
B(-8, 0) → B'(-4, 0)
C(-6, -4) → C'(-3, -2)
From the given options,
Option B is the answer.
Answer:
The probability of selecting 5 both times is 0.002.
Step-by-step explanation:
We are given that you randomly select an integer from 0 to 19 (inclusively) and then randomly select an integer from 0 to 24 (inclusively).
And we have to find the probability of selecting 5 both times.
As we know that the probability of an event is given by;
Probability =
Now, here between integer from 0 to 19 (inclusively);
Number of times 5 comes = 1
Total number of integers = 20
Similarly, between integer from 0 to 24 (inclusively);
Number of times 5 comes = 1
Total number of integers = 25
So, the required probability =
= = 0.002
Hence, the probability of selecting 5 both times is 0.002.