Sunday, September 21, 2014

Mean value theorem

At some point, the instantaneous rate of change is the same as the 
average rate of change.


f(c)=baf(b)f(a)
 

    Mean value theorem:






  Finding where the derivative is equal to the average change:




Saturday, September 20, 2014

Friday, September 19, 2014

Finding the best deal

In this case, the amount of concentration per bottle needs to be calculated  first = bottle size x concentration
Then, divide by the price to find the amount of concentration per dollar.

    Finding the best deal on pesticides:




Thursday, September 18, 2014

Sum of an infinite geometric series

When the common ratio of an infinite geometric sequence is more than zero but  less than 1, its sum can be found by the formula S= a/[1-r] 


    Sum of an infinite geometric series





Constructing probability distributions

Just have to  count for the fair probability distribution but for the unfair one there may need to be some calculation.


    Constructing a probability distribution for random variable:




Wednesday, September 17, 2014

Sample and population variance

Divide by n-1 instead of n for sample variance


    Sample variance: Thinking about how we can estimate the variance of a population by looking at the data in a sample.




Tuesday, September 16, 2014

Constructing a box and whisker plot



First, find the median which is the middle of all the terms arranged in order.
Then use a similar method to find the first and third quartile.


    Constructing a box and whisker plot: Here's a word problem that's perfectly suited for a box and whiskers plot to help analyze data. Let's construct one together, shall we?