Answer:
Probability of getting at least one 2 equals 0.5177
Step-by-step explanation:
The probability of at least one success is
where,
'p' is probability of success of 1 trail
'n' is number of events
We have probability of getting 2 is 1/6 thus 'p' = 1/6
Applying values we get
Answer:
a reflection over the x-axis and then a 90 degree clockwise rotation about the origin
Step-by-step explanation:
Lets suppose triangle JKL has the vertices on the points as follows:
J: (-1,0)
K: (0,0)
L: (0,1)
This gives us a triangle in the second quadrant with the 90 degrees corner on the origin. It says that this is then transformed by performing a 90 degree clockwise rotation about the origin and then a reflection over the y-axis. If we rotate it 90 degrees clockwise we end up with:
J: (0,1) , K: (0,0), L: (1,0)
Then we reflect it across the y-axis and get:
J: (0,1), K:(0,0), L: (-1,0)
Now we go through each answer and look for the one that ends up in the second quadrant;
If we do a reflection over the y-axis and then a 90 degree clockwise rotation about the origin we end up in the fourth quadrant.
If we do a reflection over the x-axis and then a 90 degree counterclockwise rotation about the origin we also end up in the fourth quadrant.
If we do a reflection over the x-axis and then a reflection over the y-axis we also end up in the fourth quadrant.
The third answer is the only one that yields a transformation which leads back to the original position.
Answer:
Step-by-step explanation:
Notice from the attached image that -315 degrees is the same as 45 degrees.
Recall as well that the csc function is defined as the reciprocal of the sine function: 
Then, you need to evaluate 
Answer:
C
Step-by-step explanation:
x ^m/n=n√x^m
to rewrite the exponentiation as a radical.
Answer:
120c²d - 1200cd² -10c + 100d
Step-by-step explanation:
We will first of all evalute inide the bracket then we expand it.
(10c6d-5)(2c-5d4)
=(60cd-5)(2c-20d)
= 60cd*2c -60cd*20d -5*2c +5*20d
= 120c²d - 1200cd² -10c + 100d
