Answer:
11,880 different ways.
Step-by-step explanation:
We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.
We will use permutations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
For our given scenario
and
.





Therefore, offices can be filled in 11,880 different ways.
Answer:
The last option is correct
Step-by-step explanation:
A translation of 2 units down takes S to the point (1, -1). Then a counterclockwise rotation about the origin takes S to the point (-1, -1) where we have S' .
Hoi!
To solve this, first plug in the values for x and y.
x = 2, so anywhere you see x, put 2 in its place.
y = 3, so anywhere you see y, put 3 in its place.

4 × 2 = 8

× 3 =


=
is your answer.
Answer:
μv =
σv= 
Step-by-step explanation:
Volume is found by multiplying the area and height. Since we're given both area and height of 10 and 5 cm respectively then
μv =A.h= 10*5= 50 cm^{3}
The standard deviation of the volume will be
σv= 0.3*10= 
Answer:
y = 15/4x - 11/4
Step-by-step explanation: