Answer:
16.5
Step-by-step explanation:
Given data to us is ,
- 20, 15, 14, 16, 17, 12, 20, 22 .
Arrange it in ascending order .
= 12 , 14 , 15 , 16 , 17 , 20 , 20 , 22
The middle most observation will be median in case n is odd and average of middlemost observations if n is even , that is n = 8 .
=> Middlemost observations = 16 , 17
=> Mean = 16 + 17 /2 = 33/2 = 16.5
Answer:
What percentage of gold is in the new alloy after the recasting? 4
Step-by-step explanation:
(80/5)*(1/5)/80=0.04
Answer:
See Below.
Step-by-step explanation:
We want to show that the function:

Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
![\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5Be%5Ex%20-%20e%5E%7B-x%7D%5Cright%5D)
Differentiate:

Simplify:

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>
Answer:
<em>A is correct answer</em>
Step-by-step explanation:



Thanks
Don't forget to tell the name of your country.
Assuming you're rounding to the nearest ten-thousand, Smallest is 165,000and largest is 174,000