To compute the mean, you simply have to sum all the elments in the data set and the divide the sum by the number of elements:
To compute the variance, we first need to compute the distance of each element from the mean. To do so, we build a "parallel" dataset, given by the difference of every value and the mean:
Now we need those difference squared:
The variance is the mean of this new vector, so
Finally, the standard deviation is simply the square root of the variance, so you have
The price of the tablet before the discount is $ 2667
<h3><u>Solution:</u></h3>Given that Marina paid $2,000 for a tablet PC after receiving a 25 percent discount
To find: The price of the tablet before the discount
Let "a" be the price of the tablet before the discount or original price
After receiving a 25 percent discount means 25 percent discount in original price
Discount = 25 % of original price
Discount = 25 % of "a"
Now we can say that,
<em>price of tablet after discount = price of the tablet before the discount - discount</em>
2000 = a - 0.25a
0.75a = 2000
a = 2666.67 ≈ 2667
Thus the price of the tablet before the discount is $ 2667
Answer:
Step-by-step explanation:
In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).
The formula we will use for this problem is the following:
where:
a=0
so the volume becomes:
This can be simplified to:
and the integral can be rewritten like this:
which is a standard integral so we solve it to:
so we get:
which yields:
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