Sum greater than 9 from the Sample Space are:
{(4,6),(5,5),(5,6),(6,4),(6,5),(6,6)}
so, in total 6 out of total 36 combinations have a sum greater than 9
So, ![Probability(sum>9)=\frac{6}{36}](https://tex.z-dn.net/?f=%20Probability%28sum%3E9%29%3D%5Cfrac%7B6%7D%7B36%7D%20%20)
![Probability(sum>9)=\frac{1}{6}](https://tex.z-dn.net/?f=%20Probability%28sum%3E9%29%3D%5Cfrac%7B1%7D%7B6%7D%20%20)
Probability(sum>9)=0.167
Answer:
6. 360 inches
Step-by-step explanation:
From the information provided, we know that the first subscriber came after two weeks. This means as at the 20th week, your blog would have been growing for 18 weeks. Also take note that the first term in this sequence is 1, and the common ratio is 3. We know this because the number of subscribers triples each week after the first subscriber.
Therefore, for the geometric sequence, we have the following;
![\begin{gathered} a_1=1 \\ r=3 \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a_1%3D1%20%5C%5C%20r%3D3%20%5C%5C%20%20%5Cend%7Bgathered%7D)
The nth term of a geometric progression is given as;
![a_n=ar^{n-1}](https://tex.z-dn.net/?f=a_n%3Dar%5E%7Bn-1%7D)
For the 18th term, which is the number of subscribers after the 20th week, we would have;
![\begin{gathered} a_{18}=a\times r^{18-1} \\ a_{18}=1\times3^{17} \\ a_{18}=129,140,163 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a_%7B18%7D%3Da%5Ctimes%20r%5E%7B18-1%7D%20%5C%5C%20a_%7B18%7D%3D1%5Ctimes3%5E%7B17%7D%20%5C%5C%20a_%7B18%7D%3D129%2C140%2C163%20%5Cend%7Bgathered%7D)
ANSWER:
This means 20 weeks after the blog was created, you now have
129,140,163 subscribers
Step-by-step explanation:
A.) Ok, so the mean price for Southtown is 72,800.
And the mean price for middle town is 54,900
So Southtown has the higher mean price.
Explanation:
To find the mean. You must first add up all the numbers, then divide the total by how many numbers you added up.
72,000 + 50,000 + 68,000 + 93,000 + 81,000 = 364,000
Then,
364,000/ 5 = 72,800
B.) It is 17,900
Explanation:
72,800 - 54,900 = 17,900
Hope this helps you out!!! : )
Answer:
a. ![y= 130x + 350 + \epsilon](https://tex.z-dn.net/?f=y%3D%20130x%20%2B%20350%20%2B%20%5Cepsilon)
b. The symbol y-bar represents the average price of hotels in the area
Step-by-step explanation:
a. The regression line equation is given by:
![y=\alpha x + \beta + \epsilon](https://tex.z-dn.net/?f=y%3D%5Calpha%20x%20%2B%20%5Cbeta%20%2B%20%5Cepsilon)
Where Alpha represents the slope, Beta represents the intercept with the Y axis, and epsilon represents the random component of the model. Thus,
y
Obtaining:
.
b. In a simple linear regression model the value of y-bar represents the average of all values of y observed. Thus, since y represents the prices of the hotels, then y-bar is the average price of hotels in the area.