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:
a_1 = 0
a_2 = -1
a_3 = -6
a_4 = -31
a_5 = -156
Step-by-step explanation:
a_n=(5a_n-1)-1
a_1 = 0
to find a2 substitute a1
a_2 = (5* a_1)-1
a_2 = 5* 0 -1
a_2 = 0-1
a_2 = -1
to find a3 substitute a2
a_3 = (5* a_2)-1
a_3 = (5* -1 ) -1
a_3 = -5 -1
a_3 = -6
to find a4 substitute a3
a_4 = (5* a_3)-1
a_4 = (5* -6 ) -1
a_4 = -30 -1
a_4 = -31
to find a5 substitute a4
a_5 = (5* a_4)-1
a_5 = (5* -31 ) -1
a_5 = -155 -1
a_5 = -156
Answer:
(-5, 4)
Step-by-step explanation:
To find the new coordinate, subtract 8 from the x value and add 7 to the y value:
3 - 8 = -5
-5 will be the new x coordinate
-3 + 7 = 4
4 will be the new y coordinate
So, the coordinate K will be (-5, 4) after the translation
I believe the correct answer would be:
71.04
Since you don't show the graph, all I can do is to tell you how to identify which function is parallel to the x-5y=8.
First let's rearrange the function.
x-5y=8
5y=x-8
y=1/5x-8/5.
Thus, it gives us the slope of the function, which is 1/5.
And the function that is parallel to the graph would have the SAME slope. Which is 1/5. So all you need to do is to find which function has the SAME SLOPE, in this case: 1/5.
