From the given problem, I gather that there are only two groups of forces. These are:
13 lb, 35 lb, resultant force 30 lb
20 lb, 15 lb, resultant force 25 lb
We use the pythagorean theorem to determine if the three forces are grouped correctly, such that the resultant force is the hypotenuse.
Resultant Force = √(a² + b²)
So, for the first group,
30 ? √(13² + 35²)
30 ≠ 37.33
Thus, the first group does not pull at right angles to each other.
For the second group,
25 ? √(20² + 15²)
25 = 25
Thus, the second group does pull at right angles to each other.
Answer:
1^ = 155°
^2 = 25°
^3 = 155°
Step-by-step explanation:
^1 + ^4 = 180° { sum of angles in straight line are equal to 180°}
^1+^2 = 180°{sum of angles in straight line are equal to 180°}
^3+^4=180°{sum of angles in straight line are equal to 180°}
Step-by-step explanation:
Since we have given that
Time taken by steamboat makes the trip=5 hours
Time taken by yacht makes the trip =2.5 hours
Since we have also given that
the yacht is 20 knots faster than the steamboat,
So let the speed of steamboat be x
Let the speed of yacht be x+20
Now, we have given that both boats will travel the same distance ,
So,
Hence,
Answer:
a
b
Step-by-step explanation:
From the question we are told that
The probabilities are
Supplier chosen A B C
Probability P(a) = 0.20 P(b) = 0.25 P(c) = 0.15
D E
P(d) = 0.30 P(e) = 0.10
Generally the new probability of companies A being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem
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Generally the new probability of companies B being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem
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Generally the new probability of companies C being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem
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Generally the new probability of companies D being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem
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Generally the probability that B, D , E are not chosen this year is mathematically represented as
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Generally the probability that A is chosen given that E , D , B are rejected this year is mathematically represented as
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