What is the equation of this trend line? Enter your answers by filling in the boxes.
1 answer:
Answer:
k = - 2j + 28
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (14, 0 ) and (x₂, y₂ ) = (0, 28 ) ← 2 points on the line
m = =
= - 2
The line crosses the y- axis at (0, 28 ) ⇒ c = 28
In this graph the y- axis is the k- axis and the x- axis the j- axis , then
k = - 2j + 28 ← equation of line
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Answer:
0.000298 = 0.0298% probability that the system will collapse
Step-by-step explanation:
Number of possible ways the system can fail:
2 lines from a set of 3 fail, or all three fail.
Two from a set of 3:
Can be A and B, A and C, or B and C. Three possible outcomes then.
The probability of each is:
0.01*0.01*0.99
Two failling, each with 0.01 probability, and 1 working, with 0.99 probability.
All three:
Each with 0.01 probability.
a) What is the probability that the system will collapse
Both cases, so
0.000298 = 0.0298% probability that the system will collapse