Answer:
The probability that a randomly selected component needs rework when it came from line A₁ is 0.3623.
Step-by-step explanation:
The three different assembly lines are: A₁, A₂ and A₃.
Denote <em>R</em> as the event that a component needs rework.
It is given that:

Compute the probability that a randomly selected component needs rework as follows:

Compute the probability that a randomly selected component needs rework when it came from line A₁ as follows:

Thus, the probability that a randomly selected component needs rework when it came from line A₁ is 0.3623.
Answer:
Circle B:

Circle F:

Step-by-step explanation:
We can write the equation of a circle equation with center on (h,k) and radius r as:

Then, we analyze the circle will have for the circle B:
- It has a center in x=-4 and y=-3.
- It radius can be calculated from the distance from the center (x,y)=(-4,-3) to one of its points (x,y)=(-4, -1). Then, its radius is r=2.
Then, we can write the equation as:

we analyze the circle will have for the circle F:
- It has a center in x=4 and y=1.
- It radius can be calculated from the distance from the center (x,y)=(4, 1) to one of its points (x,y)=(0, 1). Then, its radius is r=4.
Then, we can write the equation as:

The formula for slope is
.
Subtract y1 from y2. (y1= -1, y2 = 3)
3 - -1 = 4
Now subtract x1 from x2. (x1 = 4, x2 = -4)
-4 -4 = -8
Divide the difference between the y coordinates by the difference between the x coordinates.
or 4 ÷ -8 = -0.5
<h2>Answer:</h2>
<u>The slope between the two points is </u><u>-0.5</u><u>.</u>
Hope this helpsss
Answer:
144°
Step-by-step explanation:
The angles of a decagon add up to 1440°
1440/10=144
Answer:
90
Step-by-step explanation: