Module 1 Lesson 8 problem set geometry
1 answer:
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Answer:
(a) 0.675
(b) 0.3
Step-by-step explanation:
(Probability of functional red)
(Probability of non-functional red)
(Probability of functional green)
(Probability of non-functional green)
(a) The probability the board is functional is the probability that the red and the green resistors are functional.
(b) The probability that exactly one of the resistors chosen is functional is the probability that either red is functional and green is not or green is functional and red is not.
Answer:
(-21, 16)
Step-by-step explanation:
A is at (-33, 0) and B is at (0, 44),
A point that divides the line segment in a ratio of 4:7 also divides the differences of the x-and y-coordinates in the same ratio.
If we divide each distance into 11 equal parts and choose a length 4/11 of the distance, the other part will be 7/11 of the distance. The two parts will be in a ratio of 4:7.
For the x-coordinate,
x₂ - x₁ = 0 - (-33) = 0 + 33 = 33
(4/11) × 33 = 12
-33 + 12 = -21
The x-coordinate of M is (-21, 0).
For the y-coordinate,
y₂ - y₁ = 44 - 0 = 44
(4/11) × 44 = 16
0 + 16 = 16
The y-coordinate of M is (0, 16).
The coordinates of M are then (-21, 16).
The diagram below shows the point M that divides AB in a 4/7 ratio.
