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Miscellaneous Review

Circles, Simple Interest, Percent of Change, Probability

Circumference of a Circle C = pi * diameter; the distance around the outside of a circle.
Area of a Circle A = pi * radius^2; the number of square units that fit inside of a circle
Radius the distance from the center to the circumference of a circle; it is half the length of the diamter
Diameter a straight line going through the center of a circle connecting two points on the circumference; it is double the length of the radius
Probability the chance that something will happen; the ratio of the number of ways an event can occur over the total number of possible outcomes
Sample Space a list of all the possible outcomes; each outcome should be written in parentheses with a comma between events. For example (Heads, 6) represents flipping a heads on a coin and then rolling a 6 on a number cube
Impossible Event never going to happen; probability = 0 or 0%
Certain Event definitely going to happen; probability = 1/1 or 1.0 or 100%
Independent Events the outcome of one event DOES NOT affect the probability of the other event; example: rolling a number cube and then flipping a coin
Dependent Events the outcome of one event DOES affect the probability of the other event; example: picking a jelly bean from a jar, eating it, and then picking a second
Theoretical Probability what you expect to happen
Experimental Probability what actually happens
Simulation an experiment designed to model the action in a given situation. For example, flipping a coin could be used as a simulation for having a boy or girl baby.
Suppose you flip a coin and then roll a die. Find P(H, even #) 1/2 x 3/6 = 3/12 or 1/4
A bag of marbles contains 3 red, 5 blue, and 2 green marbles. Suppose you choose a marble, don't replace it, and then choose another. Find P(blue, blue) 5/10 x 4/9 = 20/90 or 2/9
Unlikely Event Probability is greater than 0 but less than 1/2 (50%)
Likely Event Probability is greater than 1/2 (50%) but less than 1 (100%)
Simple Interest Formula I = prt; I = interest, p = principal (total $ invested or borrowed), r = rate (percent, but written in decimal form), t = time (in years)
Percent of Change Proportion change/original = %/100
If the area of a circle = 100pi, find the radius and diameter. radius = 10; diameter = 20
If the circumference of a circle = 12pi, find the radius and diameter. radius = 6; diameter = 12
Created by: Math7