Math Formulas

Question 1

Area of circle

Answer 1

πr²

Question 2

Area of a sphere

Answer 2

4Πr²

Question 3

Area of a hollow cylinder

Answer 3

2πrh

Question 4

Area of an Ellipse

Answer 4

πab

Question 5

Area of triangle

Answer 5

(1/2)bxh

Question 6

Area of a rhombus

Answer 6

bxh

Question 7

Area of a rhombus.

(when given the diagonals)

Answer 7

(1/2)axb

Question 8

Volume of a sphere

Answer 8

V= (4/3)πr³

Question 9

Volume of a cylinder

Answer 9

Volume of a cylinder= πr²h

Question 10

Distance

Answer 10

Distance= Velocity x Time

Question 11

Time

Answer 11

Time= Distance/ Velocity

Question 12

Average Velocity

Answer 12

Average Velocity= [total distance traveled]/[Total time elasped]

Question 13

Rules of exponents

Answer 13

Question 14

MID POINT FORMULAS

Answer 14

Question 15

DISTANCE FORMULAS

Answer 15

Question 16

Area of an equilateral triangle

Answer 16

Question 17

standard deviation

Answer 17

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

step 1: Calculate the mean.

step2: place each individidual value into the formula

Question 18

Combination

and

Permutation

Answer 18

n= total number of objects

r=how many objects you are taking at a time .

!= multiply with reduces numbers till it reaches to 1.

5!=5x4x3x2x1

nPr

nCr

Question 19

Variance

Answer 19

Question 20

Logarithms laws

Answer 20

Question 21

Binomial probability distribution

Answer 21

The probability that there will be exactly r outcomes out of n trials when the probability of success in each trial is uniformly.

Question 22

Mutually Exclusive Event

Answer 22

If two events are mutually exclusive, it means that they cannot occur at the same time. For example, the two possible outcomes of a coin flip are mutually exclusive; when you flip a coin, it cannot land both heads and tails simultaneously.

A or B

Question 23

Conditional Probability

Answer 23

In probability theory, conditional probability is a measure of the probability of an event occurring given that another event has occurred.

Question 24

Percent(%) increase and Decrease

Answer 24

If X₂>X₁, THEN D% is positive, representing an increase.

If X₂1, then D% is negative, representing a decrease.

Question 25

Combined Work Problems

Answer 25

The total time T_Ttotal it takes to complete a task is simultaneously being worked on by more than one agent. If, when working alone, the time it takes one agent to complete the task is t₁, the time it takes another agent is t₂, etc. Then the total time T_total is given by the following formula: 1/t₁ + 1/t₂ + 1/t₃ = 1/t_total

Question 26

Area of a square

Answer 26

When given a diagonal =d²/2 A= s²

Question 27

Compound Interest

Answer 27

Compound Interest, on the other hand, means that new interest is based on an amount equal to the principal plus the total are accumulated interest. The amount of interest earned therefore increases each interest period( usually measured by the year). ## Footnote * Principal (P)= [initial investment, loan] Rate (r)= interest rate* * time(t)= years A= FINAL AMOUNT OF MONEY* **A= P(1+ r/n)^txn**

Question 28

Simple Interest

Answer 28

Simple interest is always based on the amount of the original principal. It thus remains constant for each interest period(usually measured by the year). Interest= I Principal= P Rate= r Time= t I= Pxrxt

Question 29

Pythagorean Triples

Answer 29

(3,4,5) (5,12,13) (7,24,25) (8,15,17)