Answer: I'm serious, where is your question? no question posted here sir.
Answer:
18
Step-by-step explanation:
y=k×x
15=k×5
=>k=15/5=3
when x=6,
y=3×6
=18
<u><em>Answer:</em></u>
The intersection point is (-4,-19)
<u><em>Explanation:</em></u>
<u>The two given equations are:</u>
y = 5x + 1
y = 2x - 11
<u>To find the intersection point, we will start by equating the two given equations and solving for x</u>
<u>This is done as follows:</u>
5x + 1 = 2x - 11
5x - 2x = -11 - 1
3x = - 12
x = -4
<u>Then, we will use the x and substitute in any of the equations to get the value of y</u>
<u>Using the first equation:</u>
y = 5x + 1 = 5(-4) + 1 = -19
<u>Check using the second equation:</u>
y = 2x - 11 = 2(-4) - 11 = -19 ................? checked
<u>Therefore:</u>
The intersection point between the two given equations is (-4,-19)
Hope this helps :)
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
Answer:
The expression for c is

Step-by-step explanation:
The given equation is

To find an expression that represents,c we need to make c the subject.
Add b to both sides

We now divide both sides by 'a'

Simplify the LHS to get:
