Answer:
Fourth option: 30 days
Step-by-step explanation:
We three path to complete the project:
Path A:
A1 → A2 → A3
10 days → 8 days → 9 days = 27 days
Path B:
B1 → B2 → B3
2 days → 7 days → 3 days = 12 days
Path C:
C1 → C2 → C3
10 days → 8 days → 12 days = 30 days
Then the duration of the critical path is 30 days, we can't conclude the project until each path has finished
The new mean is 66.09
<u>Explanation:</u>
Mean weight of 20 students = 65kg
One student with 88kg entered the room.
New mean = ?


The above equation can further be written as:

New mean = 
= 66.09
Therefore, the new mean is 66.09
That’s really nice man. I’m sure she’ll love it
Answer:
The Quotient Property.
Step-by-step explanation:
Since all three logarithms have the same base (base-5), and you are subtracting 6 and 3, to solve this all you need to do is 6 / 3 because of the Quotient Property.
You aren't multiplying anything, so you wouldn't use the Product Property.
You are not messing around with powers, so you wouldn't use the Power Property.
And you aren't using addition or multiplication, so you wouldn't use the Commutative Property.
Hope this helps!
Answer:
The point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.
Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = mx+b
where
Given
Using the point-slope form

where
- m is the slope of the line
In our case:
substituting the values m = 2/3 and the point (-6, -3) in the point-slope form



Subtract 3 from both sides



comparing with the slope-intercept form y=mx+b
Here the slope = m = 2/3
Y-intercept b = 1
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
Given the line

at x = 0, y = 1
Thus, the point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.