First, find the mean. You'll need it to compute the variance.
![\bar x=\displaystyle\frac15\sum_{i=1}^5x_i=\dfrac{21+10+6+7+11}5=11](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cdisplaystyle%5Cfrac15%5Csum_%7Bi%3D1%7D%5E5x_i%3D%5Cdfrac%7B21%2B10%2B6%2B7%2B11%7D5%3D11)
The variance of the sample is then computed with the formula
![s^2=\displaystyle\dfrac1{5-1}\sum_{i=1}^5(\bar x-x_i)^2=\dfrac{(21-11)^2+\cdots+(11-11)^2}4=\dfrac{71}2=35.5](https://tex.z-dn.net/?f=s%5E2%3D%5Cdisplaystyle%5Cdfrac1%7B5-1%7D%5Csum_%7Bi%3D1%7D%5E5%28%5Cbar%20x-x_i%29%5E2%3D%5Cdfrac%7B%2821-11%29%5E2%2B%5Ccdots%2B%2811-11%29%5E2%7D4%3D%5Cdfrac%7B71%7D2%3D35.5)
The standard deviation is the square root of the variance, so
OOHHH!! I like sci not! Okay, so you take the decimal ( which in this case is at the end: 68000. ) and move it over as many times as needed until it gets in between the, in this case, 6 and 8. ( 6.8000 ). You need to show exactly how many times it was actually moved so you multiply that number time 10^ whatever place. In this question, it'll be to the 4th place because you move the decimal over 4 times. The answer will be 6.80 x 10^4 OR -written in short hand- 6.8x10E4
You would have to do 1/3x2/5 which is 2/15. So 2/15 of the girls in the school play sports.
Answer:
![C=10000(0.852)^t](https://tex.z-dn.net/?f=C%3D10000%280.852%29%5Et)
Step-by-step explanation:
Let the exponential function be,
![C=a(b)^t](https://tex.z-dn.net/?f=C%3Da%28b%29%5Et)
Here, C = cost of the car
t = Duration or period in years
From the given table,
Two points representing cost of the car and time are (10000, 0) and (8520, 1),
For (10000, 0),
![10000=a(b)^0](https://tex.z-dn.net/?f=10000%3Da%28b%29%5E0)
a = 10000
For (8520, 1)
8520 = ![10000(b)^1](https://tex.z-dn.net/?f=10000%28b%29%5E1)
![b=\frac{8520}{10000}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B8520%7D%7B10000%7D)
b = 0.8520
Therefore, exponential equation will be,
![C=10000(0.852)^t](https://tex.z-dn.net/?f=C%3D10000%280.852%29%5Et)
Answer:
0.7
Step-by-step explanation: