A point P on the line segment GK may be parametrically represented as
![P = (1-t)G + tK](https://tex.z-dn.net/?f=P%20%3D%20%281-t%29G%20%2B%20tK)
t is a real parameter which controls where on the segment P is. t=0 means P=G, t=1 means P=K. We're interested in the t that gives a 3:2 ratio for PG:PK. That's closer to K so t>1/2. t=3/(3+2) = 3/5.
![P=(1-3/5)(1,2) + (3/5)(8,12) = (2/5,4/5)+(24/5,36/5)=(26/5,40/5)=(26/5,8)](https://tex.z-dn.net/?f=P%3D%281-3%2F5%29%281%2C2%29%20%2B%20%283%2F5%29%288%2C12%29%20%3D%20%282%2F5%2C4%2F5%29%2B%2824%2F5%2C36%2F5%29%3D%2826%2F5%2C40%2F5%29%3D%2826%2F5%2C8%29)
Answer: (26/5, 8)
<span>the answer is 7.6196875. </span>
Answer:
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<em>The team must win 2 games to have a win : loss ratio o 2.</em>
Step-by-step explanation:
- <u>Ratio win : loss, r</u>:
r = total wins / total losses
Call n the number of new wins:
Tw =number of wins until so far + number of new win = 6 + n
Tl = number of losses so far + number of new losses = 4 + 0 = 4
r = 2 ⇒ Tw / Tl = (6 + n) / 4 = 2
Solve for n:
- (6 + n ) = 4 × 2
- 6 + n = 8
- n = 8 - 6
- n = 2
Hence,<em> the team must win 6 more games.</em>
- <u>Verification</u>: (6 + 2 ) / 4 = 8 / 4 = 2, which is the target ratio.
<span>The standard deviation can be zero if all the data points are the same. Thestandard deviation can be larger than the mean. The range of numbers has to be large for this to occur. One such sample is {0, 0, 1, 15, 20}, where = 7.2 and s 8.6.</span>
The slope of the given line is 5. The correct answer is the second option<em>- slope = 5</em>
<h3>Slope of a line</h3>
From the question, we are to determine the slope of the line in the diagram
Using the formula,
m = (y₂ - y₁)/(x₂ - x₁)
Where m is the slope
To determine the slope of the line, we will pick two points on the line.
Using the points (1, 0) and (0, -5).
Thus,
x₁ = 1
y₁ = 0
x₂ = 0
y₂ = -5
Putting the values into the equation
m = (y₂ - y₁)/(x₂ - x₁)
m = (-5 - 0)/(0 - 1)
m = -5/ -1
m = 5
Hence, the slope of the given line is 5. The correct answer is the second option<em>- slope = 5</em>
Learn more on Slope of a line here: brainly.com/question/1884491
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