I would say 11 cups of flour is needed for 4 batches. i am sorry if i am wrong.
Step-by-step explanation:
m< AOC = 90°
m< AOB +m<BOC = 90°
6x-12+3x +30 = 90°
9x +18° = 90°
9x = 90- 18° = 72°
x = 8°
m<AOB =6(8)-12 = 48-12 = 36°
Answer: the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%
Step-by-step explanation:
Given data;
lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min
hence, height = 1 / ( 52.0 - 50.0) = 1 / 2
now the probability that the class length is between 50.8 and 51 min = ?
P( 50.8 < X < 51 ) = base × height
= ( 51 - 50.8) × 1/2
= 0.2 × 0.5
= 0.1 ≈ 10%
therefore the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%
Answer:
A. 90 degrees clockwise rotation
Step-by-step explanation:
Of we have a coordinate axis (x,y), if this axis is rotated 90° clock wide, the resulting coordinate of the pre-image will be the coordinate (y -x). Note that the coordinates was swapped and then the new y coordinate negated.
Given the coordinate K(24, -15). If we rotate this clockwisely, first we swap the coordinate axis to have (-15, 24)
Them we will negate the new y coordinate axis to have;
K'(-15, -24)
Therefore the correct answer is 90° clockwise rotation.
