Answer:
Null hypothesis: 
Alternative hypothesis: 
The statistic to check the hypothesis is given by:
And is distributed with n-2 degrees of freedom
And the statistic to check the significance of a coeffcient in a regression is given by:
For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:
Always
Step-by-step explanation:
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis:
Alternative hypothesis:
The statistic to check the hypothesis is given by:
And is distributed with n-2 degrees of freedom
And the statistic to check the significance of a coeffcient in a regression is given by:
For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:
Always
Answer:
Fuel used = 111,303,473,760 MJ/year
Step-by-step explanation:
Power production = Fuel energy * Efficiency
1200 MW = Fuel energy * 0.34
Fuel energy = 1200 MW / 0.34 =3529.41 MW
This means it consumes 3529.41 MJ/s.
Per year, it operates 365 days, 24 hours a day, 3600 seconds an hour.
To calculate the fuel used annualy we have to multiplicate by all these factors
Fuel used = 3529.41 MJ/s * 3600 s/hour * 24 hours/day * 365 days/year
Fuel used = 111,303,473,760 MJ/year
Answer:
67.029 cm ³
Step-by-step explanation:
Volume of cone = ¹/³ πr²h
π= 3.142 , r = diameter /2 so r =2cm , height (h) = 16cm
so V = ¹/³ π x (4) x 16
V = 62.029cm³
The second one because domain refers to x, and since at (-3,-4) the point is hollow, the sign should be < without the line under it
*Hint: Before you try to factor anything, you try to see if they have a common factor.
Since -3 is a common factor, everything is divided by -3.
-6x^4y^5 - 15x^3y^2 + 9x^2y^3
-3(2x^4y^5 + 5x^3y^2 - 3x^2y^3)
Since you can still divide by x^2y^2, you do so.
-3x^2y^2 (2x^2y^3 + 5x - 3y)
