The first step to solving an equation like this is to find the slope of a line that will be perpendicular to the line given. The slope of a line that's perpendicular to another line is the negative reciprocal. The negative reciprocal of -1/5 is 5. So, so far our equation is y = 5x + b. Now, to find what b is equal to, we should substitute the values of x and y from the point (1,2) since we know that our line goes through the point. Our equation becomes:
2 = 5 + b
b= -3
That means that the equation of our new line is y = 5x - 3
Answer:
The degrees of freedom is 11.
The proportion in a t-distribution less than -1.4 is 0.095.
Step-by-step explanation:
The complete question is:
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the proportion in a t-distribution less than -1.4 if the samples have sizes 1 = 12 and n 2 = 12 . Enter the exact answer for the degrees of freedom and round your answer for the area to three decimal places. degrees of freedom = Enter your answer; degrees of freedom proportion = Enter your answer; proportion
Solution:
The information provided is:
![n_{1}=n_{2}=12\\t-stat=-1.4](https://tex.z-dn.net/?f=n_%7B1%7D%3Dn_%7B2%7D%3D12%5C%5Ct-stat%3D-1.4)
Compute the degrees of freedom as follows:
![\text{df}=\text{Min}.(n_{1}-1,\ n_{2}-1)](https://tex.z-dn.net/?f=%5Ctext%7Bdf%7D%3D%5Ctext%7BMin%7D.%28n_%7B1%7D-1%2C%5C%20n_%7B2%7D-1%29)
![=\text{Min}.(12-1,\ 12-1)\\\\=\text{Min}.(11,\ 11)\\\\=11](https://tex.z-dn.net/?f=%3D%5Ctext%7BMin%7D.%2812-1%2C%5C%2012-1%29%5C%5C%5C%5C%3D%5Ctext%7BMin%7D.%2811%2C%5C%2011%29%5C%5C%5C%5C%3D11)
Thus, the degrees of freedom is 11.
Compute the proportion in a t-distribution less than -1.4 as follows:
![P(t_{df}](https://tex.z-dn.net/?f=P%28t_%7Bdf%7D%3C-1.4%29%3DP%28t_%7B11%7D%3C-1.4%29)
![=P(t_{11}>1.4)\\\\=0.095](https://tex.z-dn.net/?f=%3DP%28t_%7B11%7D%3E1.4%29%5C%5C%5C%5C%3D0.095)
*Use a <em>t</em>-table.
Thus, the proportion in a t-distribution less than -1.4 is 0.095.
It should be a.), all plant cells have a cell wall made of cellulose, which acts as exoskeleton and makes them so stable. However on a bigger level this plant cells can also form cellulose fibers, so that c.) is not completely false :)
1.76x5=
8.8
So, carl spent $8.80 on relish
Hope this helps!