math Flashcards
perimeter of equilateral triangle
P = 3s
surface area of rectangular prism
2(wl + hl + hw)
volume of rectangular prism
v = lwh
surface area of a cylinder
SA = 2pirh + 2pir2
volume of a cylinder
V = pir2h
distance
d = s x t
average speed
change in distance / change in time
simple interest
A = P(1+rt)t
compound interest
A = P(1 + r/n)nt
logb(x)=n
bn=x
the ratio of books in rooms is A + B + C is 3:4:5. if all three rooms have 2,400 books, how many books does room C have?
3x + 4x + 5x = 12x
12x = 2400
x = 200
5(200) = 1,000
sum of interior angles
(n-2) x 180
interior angle
(n-2) x 180/n
exterior angle
360/n
permutation
ORDER DOES MATTER
nPr = n! / (n-r)!
combination
ORDER DOES NOT MATTER
nCr = n! / r!(n-r)!
mutually exclusive events
cannot happen at the same time
P(A or B) = P(A) + P(B)
non-mutually exclusive events
P(A or B) = P(A) + P(B) - P(A and B)
mean
sum of total numbers / total number
mode
values appearing the most
Z score
(x - mean) / standard dev.
x = observed score