Answer:
The length of each blue trim is 17.2 inches
Step-by-step explanation:
Given
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Required
The length of each blue trim
Since all 4 triangles are equal, then the dimension of 1 triangle is:
The hypotenuse (x) of the triangle blue trim is represented by the blue trim
So:
This gives
Take square root
Answer:40% weight increase
Step-by-step explanation:
Y= 3/2x would be the answer.
Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2.
H - head
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T) = 0.8
urn
3 red and 5 blue
when heads is obtained
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12
when tails is obtained
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3
using bayes rule the answer can be found out,
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
= 0.12 / (0.12 + 0.3)
= 0.12 / 0.42
= 0.286
the final answer is 0.286
Long Piece: x + 18
Short Piece: x
(x) + (x + 18) = 84
2x + 18 = 84
2x = 66
x = 33
Long Piece: x + 18 = (33) + 18 = 51
Answer: 33 meters and 51 meters