We know for our problem that the zeroes of our quadratic equation are

and

, which means that the solutions for our equation are

and

. We are going to use those solutions to express our quadratic equation in the form

; to do that we will use the <span>zero factor property in reverse:
</span>



<span>
</span>



<span>
Now, we can multiply the left sides of our equations:
</span>

<span>= </span>

=

=

Now that we have our quadratic in the form

, we can infer that

and

; therefore, we can conclude that

.
Okay, so let's find the actual failure rate first. 6/1000 times 100 (to give over a 100%) equals to 0.6. The actual failure rate is 0.6%. The theoretical probability is 0.2% 0.6-0.2=0.4. The difference is 0.4%.
Hope that helped!
Let's use our trigonometric skills to solve for this one:
Answer:
46
Step-by-step explanation:
With those problems if you are not given a picture is good we draw one.
Because an angle bisector forms 2 congruent angles and because is given that < XVY ≅ < YVW then
m < XVY = m < YVW
2x+7 = x+15 , subtract x and 7 from both sides to isolate the like terms
2x-x = 15-7, combine like terms
x = 8
From the picture and the given we see that
m < XVW = m < XVY + m < YVW
m < XVW = 2x+7 + x+15 , combine like terms
m < XVW = 3x + 22, substitute x for 8
m < XVW = 3*8 + 22
m < XVW = 46
Check our work:
m < XVY = 2x+7 = 2*8 +7 = 16 +7 = 23
m < YVW = x+15 = 8 +15 = 23
m < XVW = m < XVY + m < YVW = 23+23 =46
Answer: Yes, its right.
Step-by-step explanation:
1/2 / 6= 0.08333...