-6y + 11x = -36....multiply by 4
-4y + 7x = -24....multiply by -6
-----------------
-24y + 44x = - 144 (result of multiplying by 4)
24y - 42x = 144 (result of multiplying by -6)
----------------add
2x = 0
x = 0
-4y + 7x = -24
-4y + 7(0) = -24
-4y = -24
y = -24/-4
y = 6
solution is (0,6)
Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval for the number of units students in their college are enrolled in is (11.7, 12.7).
<h3>What is a t-distribution confidence interval?</h3>
The confidence interval is:
![\overline{x} \pm t\frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%5Cpm%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
In which:
is the sample mean.
- s is the standard deviation for the sample.
The critical value, using a t-distribution calculator, for a two-tailed <em>95% confidence interval</em>, with 49 - 1 = <em>48 df</em>, is t = 2.0106.
Hence:
![\overline{x} - t\frac{s}{\sqrt{n}} = 12.2 - 2.0106\frac{1.6}{\sqrt{49}} = 11.7](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20-%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%2012.2%20-%202.0106%5Cfrac%7B1.6%7D%7B%5Csqrt%7B49%7D%7D%20%3D%2011.7)
![\overline{x} + t\frac{s}{\sqrt{n}} = 12.2 + 2.0106\frac{1.6}{\sqrt{49}} = 12.7](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%2B%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%2012.2%20%2B%202.0106%5Cfrac%7B1.6%7D%7B%5Csqrt%7B49%7D%7D%20%3D%2012.7)
The 95% confidence interval for the number of units students in their college are enrolled in is (11.7, 12.7).
More can be learned about the t-distribution at brainly.com/question/16162795
Have a budget, they help a lot. Save up for big purchases, Track what you spend, even small things and add them up. So you know that you didn’t overspend your budget. Buy things that you need, not what you want all the time. Once in awhile you may spoil yourself, but be careful and make sure you’re doing everything the right way. The effects of poor financial skills are, debt you can end up with a lot of it if you don’t manage your money, If you’re planning to have children, it is important that you manage your finances responsibly. Poor financial management can easily lead to overspending. Preparing in advance for large expenses is critical. It is much more rewarding to save for your next big purchase, and then run up your credit cards. If you are not careful, it can lead to further debt, which can easily spiral out of control. Hope this helps!!
Answer:
In the general rhythm counting system, you say “ta” for quarter notes and “ti ti” for eighth notes.
Explanation: