Answer:
We use Baye's theorem: P(A)P(B|A) = P(B)P(A|B)
with (A) being defective and
(B) marked as defective
we have to find P(B) = P(A).P(B|A) + P(¬A)P(B|¬A). .......eq(2)
Since P(A) = 0.1 and P(B|A)=0.9,
P(¬A) = 1 - P(A) = 1 - 0.1 = 0.9
and
P(B|A¬) = 1 - P(¬B|¬A) = 1 - 0.85 = 0.15
put these values in eq(2)
P(B) = (0.1 × 0.9) + (0.9 × 0.15)
= 0.225 put this in eq(1) and solve for P(B)
P(B) = 0.4
1 - The value of p in the equation is p = 0.
2 - The simplified form of the equation is 3x = 1, the reason behind this is when you do the equation, you get x = 1/3. When you do the equation 3x = 1 you get x = 1/3 as well.
3 - The value of z in the equation is z = 13.
4 - In order to figure out what step he did something wrong on, we first need to solve the problem, the answer we will get is x = 2.
To do this the easy way, we can solve each step, and see what one wouldn't equal 2, which the step he did wrong is Step 2.
So, to do Step 2 correctly, it would be: Step 2 - 12x − 6 = 14 + 2x.
Answer:
y = 2.5x
Step-by-step explanation:
y = mx + b
m=2.5 (slope) --> y=2.5x+b
coordinate : (2,5) 2 is the x coordinate, 5 is the y coordinate
to Find b, input the coordinate --> 5 = 2.5(2) + b
5 = 5 + b
0=b
y= 2.5x
This is only since it asked to solve using the point. If you look at the graph, the line intercepts the y-axis at (0,0) so b=0.
hope this helps
Answer:
See below
Step-by-step explanation:
y = -6x^2 + 24x-100
solve for 'x'
y + 100 = -6x^2 + 24x = -6(x^2-4x) complete the square for x
(y+100) /(-6 ) = (x-2)^2 -4 add 4 to both sides
(y+100)/(-6) +4 = (x-2)^2 sqrt both sides
sqrt [ ( y+100)/(-6) + 4 ] + 2 = x change x and y
y = ± sqrt [ (x+100)/(-6) + 4 ] + 2 simplify (if needed)
<u>y = ± sqrt( -x/6 -12.666) + 2 </u>
342 <span>is the value of z when x=18.</span>
