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Fudgin [204]
3 years ago
7

A manufacturing company produces parts that are good (90%), partially defective (2%), or completely defective (8%). These parts

pass through an automatic inspection machine, which is able to detect and discard any part that is completely defective. What is the probability that a part is good given that it 4 passed the inspection machine
Mathematics
1 answer:
Schach [20]3 years ago
4 0

Answer:

The probability that a part is good given that it passed the inspection machine is P=0.978.

Step-by-step explanation:

As the inspection machine detect and discard any part that is completely defective, only the good and partially defective parts passed this inspection.

Then, if we have:

Probability of being a good part P(G)=0.90

Probability of being a patially defective part P(P)=0.02

Probability of being a completely defective part P(D)=0.08.

Probability of passing the inspection machine = 1-P(D)=1-0.08=0.92

Then, the probability of having a good part, given that it passed the inspection machine is:

P(G|Pass)=P(G)/P(Pass)=0.90/0.92=0.978

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What system of inequalities is represented by the graph?
yarga [219]
As shown in the figure, we have two straight line. One of them has a negative slope and the other has a positive one. In two dimensions, the equation for non-vertical lines is often given in the slope-intercept form by:

y=mx+b

being m the slope of the line and <span>b the y-intercept of it.

On the other hand, if x = 0 then y = b.

First of all we will order the equations above without </span>inequalities<span> like this:

A. </span>y = 5x-1, y = 3x+4
<span>B. </span>y = 5x-1, y = -3x+4
C. y = 5x+1, y = -3x+4
D. y = 5x-1, y = -3x-4<span>

 As shown in the figure b = -1 for one straight and b = 4 for the second one. This values take place when x = 0. So, we discard C and D, because if x = 0, then:
</span>
For C, b = 1 and b = 4
For D, b = -1 and b = -4

Let's analyze A and B. So:

For A, m = 5 and m = 3
For B, m = 5 and m = -3

Therefore, we discard A because of the statement above.

Finally the answer is B. So, the inequalities are:  

(1) y\ \textless \ 5x-1
(2) 3x+y \geq 4

Let's prove this answer. We will take the point (2, 0) that is in the region in gray. So, substituting this point in the inequalities, we have:

(1) 0\ \textless \ 9
(2) 6 \geq 4

In fact, this is true.


7 0
3 years ago
PLease help me this is due a 9:00!!!!!!!!!!!!!!!!!!!!!!!!!!!
Semmy [17]

Answer:

may solver po sa brainly

5 0
3 years ago
Do you think the equations (x−1)(x+3)=17+x and (x−1)(x+3)+500=517+x should have the same solution set? Why?
oksano4ka [1.4K]

Answer:

Those two pair of equations have the same solution set.

Step-by-step explanation:

There are two equations  

(x-1)(x+3)=17+x ..... (1) and  

(x-1)(x+3)+500=517+x ...... (2)

We have to check the same solution set will be there for equations (1) and (2) or not.

Now, we are going to rearrange the equation (2).

(x-1)(x+3)+500=517+x

⇒ (x-1)(x+3)=517-500+x

⇒(x-1)(x+3)=17+x

This is the same equation as equation (1).  

Therefore, there will be the same solution set for equations (1) and (2).  (Answer)

There are two equations  

(x-1)(x+3)=17+x ..... (3) and  

3(x-1)(x+3)+500=51+3x ...... (4)

We have to check the same solution set will be there for equations (3) and (4) or not.

Now, we are going to rearrange the equation (4).

3(x-1)(x+3)+500=51+3x

⇒ 3(x-1)(x+3)=3(17+x)

⇒(x-1)(x+3)=17+x

This is the same equation as equation (3).  

Therefore, there will be the same solution set for equations (3) and (4). (Answer)

7 0
3 years ago
Which of these are proportional?!?!
sergiy2304 [10]
The first is proportional the second is proportional and the third is not proportional
3 0
3 years ago
Question is below....
Kamila [148]

Answer:

Step-by-step explanation:

For window, area 3×2

=6

For wall, area=20×16

=320

Area of wall withot window=320-6

=316

4 0
3 years ago
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