What is −1 2/3⋅(−5 1/4)?
1 answer:
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Answer:
Option (2). 1
Step-by-step explanation:
Coordinates of point A, B, C and D are,
A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).
Quadrilateral ABCD when rotated 90° clockwise about the origin,
Rule for the rotation of the vertices,
(x, y) → (y, -x)
Following the rule of rotation coordinates of the image points,
A(-4, 4) → A'(4, 4)
B(-2, 4) → B'(4, 2)
C(-2, 1) → C'(1, 2)
D(-4, 3) → D'(3, 4)
Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.
Option (2) is the correct option.
Answer:
0.78
Step-by-step explanation:
given that 80% of an airline's flights depart on-time and 20% do not.
Of those that depart on-time, 95% arrive on-time. Of those that depart late, 10% arrive on-time
Let A be the event that flight departs on time.
Now A and A' are mutually exclusive and exhaustive
Let B be the event the flight arrives on time
Using total probability calculation we have
the chance of someone taking a flight that will arrive on-time
= P(B)
=