Answer:

Step-by-step explanation:
To complete the square, we first have to get our equation into
form.
First we add 16x to both sides:

And now we subtract 62 from both sides.

We now have to add
to both sides of the equation. b is 16, so this value becomes
.

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because
and
.

We can now take the square root of both sides.

We can now isolate x on one side by subtracting 8 from both sides.

So our solutions are
Hope this helped!
Answer:
46:74
Step-by-step explanation:
Answer:
x = 57,542.8571
Step-by-step explanation:
C(x) = 0.81x + 60,420
R(x) = 1.87x
At break even point, Cost function and revenue function becomes equal.
-> C(x) = R(x)
-> 0.81x + 60,420 = 1.87x
-> 60420 = 1.87x - 0.82x
-> 60420 = 1.05x
-> x = 60420/1.05
-> x = 57,542.8571
Thus, at break even point x = 57,542.8571
This one is a bit more complicated but i believe the answer is -1/4
Answer:
15.87%
Step-by-step explanation:
Notice that the mean of 0.35 inches with a standard deviation of 0.01 gives you when you add (to the right of the distribution), exactly 0.36. Since you want to find the probability (or percentage) of the bolts that have diameter LARGER than 0.36 in, that means you want to estimate the area under the Normal distribution curve from 0.36 to the right). See attached image.
We can use the tables of Z distribution for that, or the standard normal tables:
P(x>0.36) = P(z>(0.36-0.35)/0.01) = P(Z>1) = 0.1587 = 15.87%