Answer:
a. A and B are disjoint
Step-by-step explanation:
We know that P(A and B)=0, It means that event A and event B have nothing in common and it means that event A and event B are disjoints events.
The event A and event B are independent if
P( A and B)= P(A)*P(B)
P(A)*P(B)=0.3*0.2=0.06
So, P(A and B)≠P(A)*P(B)
Hence events A and B are not independent.
Option a is A and B are disjoints which is correct
Option b is A and B are neither disjoints nor independent which is partially false as A and B are disjoints event.
Option c states that A and B are independent which is clearly false.
Option d states that A and B are disjoints and independent which is partially false as A and B are not independent.
Hence the correct option is option A.
Answer:
h
Step-by-step explanation:
i did the quize good luck
Using an linear function, we have that:
- The inequality is:
![-150D + 7250 < 2000](https://tex.z-dn.net/?f=-150D%20%2B%207250%20%3C%202000)
- The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.
<h3>What is a linear function?</h3>
A linear function is modeled by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem:
- A warehouse contains 7250 books in it, hence b = 7250.
- Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.
Thus, the number of books each day is modeled by the following function:
![B(D) = -150D + 7250](https://tex.z-dn.net/?f=B%28D%29%20%3D%20-150D%20%2B%207250)
It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:
![B(D) < 2000](https://tex.z-dn.net/?f=B%28D%29%20%3C%202000)
![-150D + 7250 < 2000](https://tex.z-dn.net/?f=-150D%20%2B%207250%20%3C%202000)
Then:
![-150D < -5250](https://tex.z-dn.net/?f=-150D%20%3C%20-5250)
![150D > 5250](https://tex.z-dn.net/?f=150D%20%3E%205250)
![D > \frac{5250}{150}](https://tex.z-dn.net/?f=D%20%3E%20%5Cfrac%7B5250%7D%7B150%7D)
![D > 35](https://tex.z-dn.net/?f=D%20%3E%2035)
The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.
More can be learned about linear functions at brainly.com/question/24808124
Answer:
5 × ![10^{6}](https://tex.z-dn.net/?f=10%5E%7B6%7D)
Step-by-step explanation:
The residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.
<h3>What is residual value?</h3>
The residual value is the estimated value which is calculated for the end of the lease terms for a fixed asset.
Points and their residual values are shown in the table. A 3-column table with 5 rows.
- x 1, 2, 3, 4, 5.
- y 2, 3.5, 5, 6.1, 8.
- Residual Value -0.4, 0.7, -0.2, -0.6 0
The simple regression line can be represented as,
![\hat y=\alpha +\beta X+\hat e](https://tex.z-dn.net/?f=%5Chat%20y%3D%5Calpha%20%2B%5Cbeta%20X%2B%5Chat%20e)
Here α is the constant, β is the slope and <em>e </em>is the residue.
The point which is farthest from the best fit of the line is 3.5. At y=3.5, the value of residue is 0.7.
Thus, the residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.
Learn more about the residual value here;
brainly.com/question/1168961