If you would like to solve the system of equations, you can do this using the following steps:
-3x + 4y = 12
x * 1/4 - 1/3 * y = 1 ... x * 1/4 = 1 + 1/3 * y ... x = 4 + 4/3 * y
_____________
<span>-3x + 4y = 12
</span>-3 * (4 + 4/3 * y) + 4y = 12
-12 - 4y + 4y = 12
-12 = 12
-12 - 12 = 0
-24 = 0
The correct result would be: <span>the system of the equations has no solution; the two lines are parallel.</span>
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:
Yes
Step-by-step explanation:
All of these numbers are real numbers. None of them are complex numbers or irrational like <em>i</em>, s the answer is yes.
I have provided a chart to help you out with this topic.
Hope this helps! :)
Answer:
$42.5
Step-by-step explanation:
Find how much is 15% of 50 first
(15/100)×50=$7.5
$7.5 is the amount that will be discounted so
$50(original price)-$7.5(discount)=$42.5