The answers to the bearing problems are listed below:
- How far North is the ship now ___________ 38.82 km
- How far East is the ship now ____________ 144.89 km
- How far is the ship from its starting point_____241.48 km
- On what bearing is it now from its original position____035°
<h3>Meaning of bearing.</h3>
Bearing can defined as branch of mathematics that describes the accurate location of an object at any point in time.
<h3>Analysis</h3>
The answers to the problem from 1-3 can be gotten by using sin and cos to find the missing sides.
The final value can be gotten using the cosine rule
4). bearing from original position = 
(
+ 
﹣
) / 
= 35°
In conclusion, the answers for each is given in the list above.
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Answer:
y=5/2
Step-by-step explanation:
To answer this
problem, we use the binomial distribution formula for probability:
P (x) = [n!
/ (n-x)! x!] p^x q^(n-x)
Where,
n = the
total number of test questions = 10
<span>x = the
total number of test questions to pass = >6</span>
p =
probability of success = 0.5
q =
probability of failure = 0.5
Given the
formula, let us calculate for the probabilities that the student will get at
least 6 correct questions by guessing.
P (6) = [10!
/ (4)! 6!] (0.5)^6 0.5^(4) = 0.205078
P (7) = [10!
/ (3)! 7!] (0.5)^7 0.5^(3) = 0.117188
P (8) = [10!
/ (2)! 8!] (0.5)^8 0.5^(2) = 0.043945
P (9) = [10!
/ (1)! 9!] (0.5)^9 0.5^(1) = 0.009766
P (10) = [10!
/ (0)! 10!] (0.5)^10 0.5^(0) = 0.000977
Total
Probability = 0.376953 = 0.38 = 38%
<span>There is a
38% chance the student will pass.</span>
Answer:
Step-by-step explanation:
x 1 = π , x 2 = 3 π/ 2
y 1 = - 1, y 2 = 2
The Rate of change = ( y 2 - y 1) / ( x 2 - x 1 )=
= [2 -( -1 )] : ( 3 π /2 - π ) = 3 : π/2 = 6 / π <em>≈ 1.91 </em>
