Answer:
0.409 mol
Step-by-step explanation:
Use ideal gas law:
PV = nRT
where P is absolute pressure,
V is volume,
n is number of moles,
R is universal gas constant,
and T is absolute temperature.
PV = nRT
(1 atm) (10.0 L) = n (0.0821 L·atm/mol/K) (25 + 273) K
n = 0.409 mol
The distance from -9 to 7 = 16 units.
Distance from -4 to 8 = 12 units.
Divide the two values and add them to the x and y values of the first set and the result will be our midpoint.
16/2 = 8. 8 + -9 = -1
12/2 = 6. 6 + -4 = 2
So our midpoint will be (-1,2)
Let the number be x
X *8 = 8x
8x-66= twice of the number
8x-66=2x
-66=2x-8x
-66=-6x
Divide both sides by -6
X=11
T>5
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Answer:
the correlation coefficient of the line of best fit is, 0.98247.
Step-by-step explanation:
Correlation Coefficient are used to find how strong relationship between the data. It expressed its values between +1 and -1. It is represented by r.
* if 0<r<1 indicates a strong positive relationship.
* -1<r <0 indicates a strong negative relationship.
* r=0 indicates no relationship at all.
The formula for this :
![r = \frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2]}}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2-%28%5Csum%20y%29%5E2%5D%7D%7D)
Given the data: (-3, -40) , (1, 12), (5, 72) and (7,137)
Here, n = 4
To calculate the correlation coefficient r;
Substitute the values of data in above formla of r , as shown in the Figure 1:
then;
or
![r=\frac{5804-1810}{\sqrt{[336-100][102788 -32761]}}=\frac{3994}{\sqrt{[236][70027]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B5804-1810%7D%7B%5Csqrt%7B%5B336-100%5D%5B102788%20-32761%5D%7D%7D%3D%5Cfrac%7B3994%7D%7B%5Csqrt%7B%5B236%5D%5B70027%5D%7D%7D)
or

Therefore, the correlation coefficient r is, 0.98247 (Positive relationship)