Answer:
-1/2f I think
Step-by-step explanation:
distribute the -1/2
use differentiation rules
calculate all together
then simplify
Hope this helps
Answer:
-6 = x
Step-by-step explanation:
3 sqrt (5x-4) = 3 sqrt (7x+8)
Divide each side by 3
3/3 sqrt (5x-4) = 3/3 sqrt (7x+8)
sqrt (5x-4) = sqrt (7x+8)
Square each side
(sqrt (5x-4))^2 = ( sqrt (7x+8) )^2
5x-4 = 7x+8
Subtract 5x from each side
5x-5x-4 = 7x-5x+8
-4 = 2x+8
Subtract 8 from each side
-4-8 = 2x+8-8
-12 = 2x
Divide by 2
-12/2 = 2x/2
-6 = x
Answer:
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 degreed of freedom. df=n-2=10-2=8
For this case the null hypothesis represent that we don't have association betwen the dependent variable Y and the independent variable X and that means r=0. So then the best option for this case is:
The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero
Step-by-step explanation:
Previous concepts
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
And in order to calculate the correlation coefficient we can use this formula:
Solution to the problem
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 degreed of freedom. df=n-2=10-2=8
For this case the null hypothesis represent that we don't have association betwen the dependent variable Y and the independent variable X and that means r=0. So then the best option for this case is:
The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero
Triangle=1/2 rectangle
so therefor a rectangle with similar legnth widht and height has 2 times the vollume of this prism
find volume and half it
V=LWH
V=16*12*8*
V=1536
half it
V=768
volume=768 cm^3
Answer:
= 1/2
Step-by-step explanation:
√25 / √100
= 1/2