Answer:
A) 0.005
B) 0.001
C)0.0495
Step-by-step explanation:
Let A be the event that an aircraft is present and let B be the event the radar registers its presence.. Thus;
P(A) = Probability that an aircraft is present
P(A') = Probability that an aircraft is not present
P(B) = Probability that the radar generates an alarm
P(B') = Probability that the radar doesn't generate an alarm
Thus from what we are given, we have;
P(A) = 0.05
P(A') = 0.95
P(B) = 0.99
P(B') = 0.01
P(B|A') = 0.1
A) Probability of a false alarm will be;
P(A' ∩ B) = P(A) × P(B|A')
P(A' ∩ B) = 0.05 × 0.1 = 0.005
B) probability of missed detection is;
0.1 × (1 - 0.99) = 0.001
C) probability that an aircraft is present given that the radar registers a presence will be;
P(A ∩ B) = P(A) × P(B)
P(A ∩ B) = 0.05 × 0.99
P(A ∩ B) = 0.0495
Answer:
Kayla, learn this, :D more math is based on it. Just learn it, just memorize the following
Step-by-step explanation:
m = slope
m = rise / run
m = y2 - y1 / x2 - x1 ( this is still rise over run but in point form )
they give us two points to plug into the above formula
P1 = (-4, 8 ) in the form of ( x1, y 1 )
P2 = (2, -1) in the form of (x2, y2 )
now plug those into the above formula
m = ( -1 - 8 ) / ( 2-(-4) )
m = -9 / ( 2 + 4 )
m = -9 / 6
m = - 3/2
since we know the slope now , we can use the point slope equation of
y - y1 = m ( x - x1)
use the m we found and either point , P1 or P2
y - 8 = -3/2(x -(-4) )
y-8 = -3/2(x + 4)
y-8 = -3/2x - 6
y = -3/2x -6 + 8
y = -3/2x + 2
there you go :)
Answer:
Step-by-step explanation:
(x+5)/2 = 6
x + 5 = 12
x = 7
(y + 2)/2= 4
y + 2 = 8
y = 6
(7, 6)
Answer: 241
Step-by-step explanation:
This is a simple problem when using Pascal's triangle. First you look at 1 - 3, what is the difference in these 2 numbers? Its 2, then you look at 3 and 11, the difference is 8, then 11 and 35, the difference is 24. If you keep doing this you get; 2 8 24 64 142. Next you find out how these numbers are different. In the end you keep doing this until you get to the triangles point or the differences converge.
1 3 11 35 99 <u>241</u>
2 8 24 64 142
6 16 40 78
10 24 38
14 14
In the end we get 14 but there is no difference in the numbers so we cant go any farther. Hope this helps!
Answer:
An equilateral triangle is a triangle in which all three sides are equal. An equilateral triangle is also equiangular, in which all three internal angles are also congruent to each other and are each 60°.
Parallelogram and rhombus possibly.
Trapezoid.
