Answer:
17. 10
Step-by-step explanation:
1. A segment going from an endpoint to the midpoint of the original segment is going to be 1/2 of the original segment.
AM = 1/2 AB
2. You know that the length of AM is 5, so plug that in a solve algebraically
5 = 1/2 AB
(2)5 = (2) 1/2 AB
10 = AB
Answer:
18. 30
Step-by-step explanation:
The sum of two segments spanning from the original segment's midpoint to the end equals the length of the original segment. Because the midpoint is exactly in the middle of the original segment, the two other segments should equal each other.
1. You need to first find the length of the two segments by setting them equal to each other and plugging in their equations.
5x = x+12
2. Solve algebraically
5x = x+12
4x = 12
x = 3
3. Plug z into the equations for each segment and add them together.
RM = 5(3) MS = (3)+12
RM = 15 MS = 15
15+15 = 30
Answer:

B. The coefficient of determination is 0.1980, 19.8% of the variation is explained by the linear correlation, and 80.2% is explained by other factors.
Step-by-step explanation:
Previous concepts
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
Solution to the problem
In order to calculate the correlation coefficient we can use this formula:
On this case we got that r =0.445
The determinaton coefficient is just:

And we can put it on % and we got 19.8%. And represent the variation explained by a linear model. The best option on this case would be:
B. The coefficient of determination is 0.1980, 19.8% of the variation is explained by the linear correlation, and 80.2% is explained by other factors.
Since the explained variation is 19.8% and the remain 100-19.8= 80.2% is explained by other factors.
Each angle on a triangle pertains to the opposite side
so let’s start by solving the equations:
6 + 4 = 10
2(6) - 3 = 9
3(6) - 10 = 8
then order then look at what each of the sides is opposite to:
10 = A
9 = B
8 = C
so from smallest to largest the angles are C, B, A
The maximum units is 200 and , Total revenue is $8,000
<u>Step-by-step explanation:</u>
Here we have , A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he maximum reveremany should be manufactured to obtain this maximum units .Let's find out:
We have following function as
. Let's differentiate this and equate it to zero to find value of x for which the function is maximum!
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Now , Value of function at x=200 is :
⇒ 
⇒ 
⇒ 
Therefore , The maximum units is 200 and , Total revenue is $8,000