A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given b

Answer:

The shaped region accounts for 7/18 of the area of ACIG.

Step-by-step explanation:

Refer to the attached diagram for further clarity on the problem.

Step 1

Determine the length of one side of square ABED.

We know that

AB=BE=ED=AD

The area of a square can be calculated as

where b is the side length.

We have

So we substitute

Thus,

Step 2

Calculate the area of ACIG.

The area of rectangle ACIG is determined by

Substituting the given values yields

Step 3

Determine the area of the shaded rectangle DEHG.

The area of rectangle DEHG is given by

We find

and substitute

Step 4

Calculate the area of shaded rectangle BCFE.

The area of rectangle BCFE equals

We see that

and substitute

Step 5

Add the areas of the shaded regions together.

Step 6

Divide the area of the shaded region by the area of ACIG.

Simplify this fraction by dividing both the numerator and denominator by 5.

Hence, the shaped region represents 7/18 of the area of ACIG.

<span>0.002 1/10 of what
=> (1/10)a = 0.002
=> Multiply both sides by 10 to solve for the unknown number, since we need the value whose one-tenth is 0.002.
=> 10 x (1/10)a = 10 x 0.002
=>  a = 0.02

Therefore, 0.002 is one-tenth of 0.02.
To verify, divide 0.02 by 10.
=> 0.02 / 10
=> 0.002
Hence, the solution is confirmed.

</span>

Answer: 40

Step-by-step explanation:

P(S) = Probability of Smash = 0.05 (5%)
P(M) = Probability of Modest = 0.5 (50%)
P(F) = Probability of Flop = 0.45 (45%)
Based on this, we utilize the model for discrete random variables, leading to:
E(X) = (0.05 * 5.2) + (0.5 * 0.9) + (0.45 * 0)
= 0.26 + 0.45 + 0
= 0.71 Mill'

To determine the slope, subtract the y coordinates from each other and the x coordinates as well. That gives us: 10000 - 4000 over 0 - 15, which simplifies to 6000 over -15. When divided, it results in -400. So, the slope amounts to -400. I hope this aids you!:D