Your answer is gonna be 56
some explanation stuff if needed :
8 questions, and your teacher will choose 5. The order doesn’t matter just whether or not they’re on the test!
Thats a combination (permutation is where the order matters).
nCr= (n!)/(n-r)!·r!
n is the number of options
r is the number you choose
! is “factorial” (multiplying every whole number down the 1; ex: 4! = 4·3·2·1 = 24)
so lets substitute:
n= 8 questions from which to choose
r= 5 the number the teacher will choose
8C5= (8!)/(8-5)!·5!
= (8!)/(3)!·5!
= (8·7·6·5·4·3·2·1)/(3·2·1)·(5·4·3·2·1)
= 40,320/(6)·(120)
= 40,320/720
= 56
There are 56 possible combinations of 5 questions your history teacher could choose.
hope i helped :)
~ mo
As you need to translate to the left this is an horizontal translation so you have to replace f(x) by f(x-h) and when h is less than 0 the graph shifts left, it mean h is negative. So for this problem g(x)= Ι2(x--5)Ι then g(x) = Ι2(x+5)Ι
Step-by-step explanation:
21. parallel
22.If two lines in a plane do not intersect, they are parallel. If two lines in space and not in the same plane do not intersect, they are skew. The answer is yes. Two lines can only be non-intersecting if their slopes are exactly the same (otherwise they'd have to cross at some point).
hope this helps you.
X1=0
Y1=-3
X2=4
Y2=1
Slop=(y2-y1)/(x2-x1)
Slop=(1-(-3))/(4-0)
Slop=4/4
Slop=1
If the attached picture is the same diagram then it says that he has to pay the simple interest of 5% in addition to the $300