# GMAT

### 27 terms by shane_kercheval

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a^2

lw

bh

### area of a trapezoid

.5(a+c)h, where a and c are the lengths of the parallel sides

3.1415

pi*r^2

2pir

### area of a sector of a circle

(x/360) PIr^2, where x is the degrees of the sector

### What is the area of a triangle

.5bh (where b and h are right angles)

### What is pathagorean theorem

A^2 + B^2 = C^2 where c is hypotenuse of triangle

### What is the equation for combinations

order DOESN'T matter (without repetition, like lottery)
C = n! / ((n-k)k!)!
where k = number of objects selected from a pile of n objects
n = total number of objects from which k objects can be selected

### what is the equation for permutations

order DOES matter
P = n^r (WITH REPETITION, r is how many you choose, n is total number of choices)
P = n! / (n-r)! (withOUT REPETITION)
where r = number of objects selected from a pile of n objects
n = total number of objects from which r objects can be selected
*if you are selecting all of them the formula is just n!

### What is the quadratic equation

used to find the roots of polynomial equation of the second degree
x = (-b (+-) SQROOT(B^2 - 4AC)) / 2a

P(E) = 0

P(E) = 1

### What does P(E) mean

P(E) = number of outcomes in E / total number of possible outcomes.
EX. P({1,3,5}) and total set is {1,2,3,4,5,6}, => P({1,3,5}) = 3/6

### What is the Probably that E does not occur?

P(not E) = 1 - P(E)

### What does it mean to say that two sets are mutually exclusive events

if the event "E and F" is impossible. P(E and F) = 0

### What does it mean tot say that sets A and B are Independent?

Two events A and B are said to be Independent if the occurrence of either even does not alter the probability that the other event occurs
P(A and B) = P(A)P(B)

### What is a polygon

closed plane figure formed by three or more line segments (sides) each side intersects exactly two other sides at their endpoints.

### What are vertices

points of intersections of the sides of a polygon

### How do you find the distance between to lines on a graph?

Pythagorean Theorem

### if machine X can produce 1,000 bolts in 4 hours and machine Y can produce 1,000 bolts in 5 hours, in how many hours can machines X and Y, working together at these constant rates, produce 1,000 bolts?

solve for (1/4) + (1/5) = (1/h)

### If A and B and do a job in 4 hours when working together at their respective constant rates and A can do the job alone in 6 hours, in how many hours can B do the job alone

solve for (1/6) + (1/B) = (1/4)

### What is the equation for distance

D = average speed * time

### What is the equation for compound interest

Balance = P (1 + (R/N))^(TN)
P=principle
R = percent annual interest rate (decimal)
N = number of times compounded per year
T = number of years

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