Concepts Pt 3. Flashcards
Turn a repeating number into a fraction
7.583333333…
= 758/100 + 1/3
=758/100 +1/300
Rates/Work:
If distances are the same, your average speed will always be weighted towards the ______ speed.
If distances are the same, your average speed will always be weighted towards the LOWER speed.
Inequalities:
You must break up absolute values into their possible ….
You must break up absolute values into their possible positive and negative options
With 3 sided inequalities
perform the same operation on all 3 sides
This 2-20 list has how many numbers?
= 20-2 +1 (add one before you’re done)
Fundamental Counting Principle
total number of choices is equal to the product of the independent choices
Ex:
Q. You take a survey with five “yes” or “no” answers. How many different ways could you complete the survey?
A. There are 5 stages: Question 1, question 2, question 3, question 4, and question 5.
There are 2 choices for each question (Yes or No).
So the total number of possible ways to answer is:
2 * 2 * 2 * 2 * 2 = 32.
If all the events happen (“and”)
If all the events happen (“and”) then MULTIPLY probabilities
If only one of the events happen (“or”)
If only one of the events happen (“or”) then ADD probabilities
Overlapping Sets Formula
Total = Grp 1 + Grp 2 - Both + Neither
Ratios
Total = Ax + Bx for A:B
1) probability of an event occurring
2) probability of two independent events occurring
probability of an event occurring = (number of successful outcomes total) / (number of possible outcomes)
probability of two independent events occurring = probability of event A * probability of event B
Solve for x percent of number n
n (x / 100)
For example, what is 12 percent of 50?
Answer:
50 (0.12) = 6
Solve for what number n is x percent of
= (100 n) / x
Solve for what percent is number n of number m
= (100 n) / m
composite number
is an integer grater than one that is not a prime number. Ex: 2,4,6,8
