Given:
The points are M(6,16) and Z(-1,14).
To find:
The distance between given points.
Solution:
Distance formula:
So, the distance between two points M(6,16) and Z(-1,14) is
Therefore, the distance between given points is 7.3 units.
Answer:
the probability that a real emergency situation exists is 0.16 (16%)
Step-by-step explanation:
defining the event A= the alarm sounds ,we have
P(A)= probability that an emergency situation exists * probability that the alarm sounds given that an emergency situation exists + probability that a emergency situation does not exist * probability that the alarm sounds given that an emergency situation does not exist = 0.004* 0.95+ 0.996 * 0.02 = 0.02372
then if we use the theorem of Bayes for conditional probability and define the event E= a emergency situation exists , then
P(E/A)= P(E∩A)/P(A)= 0.004* 0.95/0.02372 =0.16 (16%)
where
P(E∩A)= probability that an emergency situation exists and the alarm sounds
P(E/A) = probability that an emergency situation exists given that the alarm has sounded
This is a inscribed angle, so that the angle is 1/2 the measurement of the arc length.
You are trying to find q°
100/2 = 50
q° = 50°
hope this helps
Answer: x = - 111
Step-by-step explanation:
- Add the like terms on the right side of the equation. 45 + 85 = 130. 130 - 180 = - 50. The equation simplifies to x + 61 = - 50
- Subtract 61 on both sides. x = - 111
