Interval notation(-infinitive, -4)
5x=35
x=35/5 (/=divided)
x= 7
so you divide 5x by 5 to cancel out that 5 and then since you did it to that side you have to do it to the other side so you divide 35 by 5 and that equals 7 so you’re left with x=7
Y=-2x-1
Move all terms that don't contain wired to the right side and solve
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
