The Academic Computing Center has five trainers available in its computer labs to provide training sessions to students. Assume
1 answer:
You might be interested in
Answer:
Segments DE and BC have equal slopes, showing that segments DE and BC are parallel
Step-by-step explanation:
Here we have the coordinates as follows
The coordinates of A is (4, 6)
The coordinates of B is (2, -2)
The coordinates of C is (-2, -4)
Therefore, the coordinates of D the midpoint AB is ((4 + 2)/2, (6 - 2)/2) which gives;
The coordinates of D is (3, 2)
Similarly, the coordinates of E the midpoint AC is ((4 - 2)/2, (6 - 4)/2) which gives;
The coordinates of E is (1, 1)
To prove that segment DE is parallel to segment BC, e show that the slopes of the two segments are equal as follows;
Therefore, the slopes of segments DE and BC are equal, which shows that segment DE is parallel to BC.
Answer:
option E
Step-by-step explanation:
let E₁ be the event of urn 1
let E₂ be the event of urn 2
let E₃ be the event of urn 3
P(E₁) =
P(E₂) =
P(E₃) =
Let A be the probability of getting clear marble
P(A/E₁) = =0.483
P(A/E₂) = = 0.423
P(A/E₃) = = 0.4
required probability
P(E₃/A) =
P(A) = P(E₁)P(A/E₁) + P(E₂)P(A/E₂) +P(E₃)P(A/E₃)
P(A) = 0.5 x 0.483 + 0.25 x 0.423 +0.25 x 0.4
P(A) = 0.447
now,
P(E₃/A) =
P(E₃/A) = 0.2147
hence, the correct answer is option E