Answer:
Step-by-step explanation:
The 9th term is the next-to-last term, where the left term of the binomial is raised to the first power, the right term of the binomial is raised to the 8th power (9-1=8), and the multiplier is 9C8 = 9!/(8!·1!) = 9. This product is ...
9·(3x)^1·(-2y)^8 = 6912xy^8
The slope is 9/1 hope i helped
Answer:
We should reject H0
At the 5% significance level, there is sufficient evidence to conclude that the die is not fair.
Step-by-step explanation:
Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The critical value is 15.091 and test statistic is 11.070. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.
Answer:
![\boxed {m = -\frac{5}{7}}](https://tex.z-dn.net/?f=%5Cboxed%20%7Bm%20%3D%20-%5Cfrac%7B5%7D%7B7%7D%7D)
Step-by-step explanation:
Use the <u>Slope Formula</u> to determine the slope of two given points:
![m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_%7B2%7D%20-%20y_%7B1%7D%7D%7Bx_%7B2%7D%20-%20x_%7B1%7D%7D)
First Point: ![(x_{1} , y_{1})](https://tex.z-dn.net/?f=%28x_%7B1%7D%20%2C%20y_%7B1%7D%29)
Second Point: ![(x_{2}, y_{2})](https://tex.z-dn.net/?f=%28x_%7B2%7D%2C%20y_%7B2%7D%29)
-Substitute both points:
First Point: ![(5, 11)](https://tex.z-dn.net/?f=%285%2C%2011%29)
Second Point: ![(19, -1)](https://tex.z-dn.net/?f=%2819%2C%20-1%29)
![m = \frac{-1 - 11}{19 - 5}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-1%20-%2011%7D%7B19%20-%205%7D)
-Solve for the slope:
![m = \frac{-1 - 11}{19 - 5}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-1%20-%2011%7D%7B19%20-%205%7D)
![m = \frac{-10}{14}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-10%7D%7B14%7D)
![\boxed {m = -\frac{5}{7}}](https://tex.z-dn.net/?f=%5Cboxed%20%7Bm%20%3D%20-%5Cfrac%7B5%7D%7B7%7D%7D)
Therefore, the slope is ![-\frac{5}{7}](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B7%7D)