Answer:
165 combinations possible
Step-by-step explanation:
This is a combination problem as opposed to a permutation, because the order in which we fill these positions is not important. We are merely looking for how many ways each of these 11 people can be rearranged and matched up with different candidates, each in a different position each time. The formula can be filled in as follows:
₁₁C₃ = 
which simplifies to
₁₁C₃ = 
The factorial of 8 will cancel out in the numerator and the denominator, leaving you with
₁₁C₃ = 
which is 165
Answer:
3/12
Step-by-step explanation:
count all the odd numbers over the total
The formula is 4 cos^3(x)-3 cos(x)
We will have the following:
A. The function is compressed in the y-axis by a factor of 0.5 and then it is inverted in its direction; since it is a line the line is then decreasing instead of increasing.
B. The function is increased by a factor of 2 in the y-axis and then it is moved 3 units up:
C. The function is increased by a factor of 5/3 (Approximately 1.67) in the y-axis and then it is made so it is no longer increasing, but decreasing:
D. The function is increased in the y-axis by a factor of 9 and then it is moved 9 units down:
Volume of the oblique pyramid = Volume of the right pyramid = 36h
