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igor_vitrenko [27]
2 years ago
11

Four percent of the welds on an automobile assembly line are defective. The defective welds are found using an X-ray machine. Th

e machine correctly rejects 92% of the defective welds and correctly accepts 99% of all of the good welds.
Required:
a. Make a table or a tree to represent this situation.
b. What is the probability that the X-ray machine will diagnose a weld as being defective in a randomly chosen automobile?
c. If the X-ray machine detects a defective weld, what is the probability that the weld really is defective?
Mathematics
1 answer:
Helga [31]2 years ago
7 0

Answer:

a ) See Annex

b) P₁  =  0,0464       or    P₁  =  4,64 %

c) P₄  = 0,92   or   P₄  = 92 %

Step-by-step explanation:

b) P₁ [ X being defective ]  =  P₂   +   P₃

Where P₂  is the probability of X rays machine detects a weld defective and the weld is really defective

And  P₃  is the probability of X rays machine detects a weld defective and the weld is not defective

Then

P₂  =  0,04 *  0,92  =  0,0368

P₃  =  0,96 * 0,01  = 0,0096

Then  P₁  =  0,0368  +  0,0096

P₁  =  0,0464       or    P₁  =  4,64 %

c) P₄ = 0,04 *0,92

P₄  = 0,92   or   P₄  = 92 %

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Now we have y = 22,000x + 40,000

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2 years ago
For this, find the value of X for this parallelogram!! Thank you :)
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Step-by-step explanation:

Opposite sides and angles of a parallelogram are equal.

So,

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7 0
3 years ago
2. Maria is monitoring the temperature of
stiks02 [169]

Here, we are required to determine after how many minutes will the two substances be at the same temperature.

The equation of when the two substances will be at the same temperature and the solution are as follows;

(a) The equation is 96.2 + 1.5(x) = 98.5 + 0.8(x).

(b) The solution is, x = 3.285minutes.

For substance A which is currently at 96.2° and rising at 1.5° each minute; It's temperature after x minutes is given as;

  • T(a) = 96.2 + 1.5(x)

For substance B which is currently at 98.5° and rising at 0.8° each minute; It's temperature after x minutes is given as;

  • T(b) = 98.5 + 0.8(x)

(a) For the two substances to be at the same temperature; T(a) must be equal to T(b).

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The equation is therefore;.

96.2 + 1.5(x) = 98.5 + 0.8(x)

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Read more:

brainly.com/question/20248109

5 0
1 year ago
Question 7
Ksenya-84 [330]

Answer:

(4,2) and (2,-2)

Step-by-step explanation:

using m=y2-y1/x2-x1

m= -2-2/2-4=-4/-2

therefore,

m=2

3 0
2 years ago
John’s heart beat at a rate of 65 beats a minute when he is awake and 50 beats a minute when he sleeps (8 hours). How many times
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His heart beats 86,400 times within a 24 hour period.
60 minutes in 1 hour, so you would multiply 8 hours by 60 mins, giving you 480 mins. 24 hours- 8 (time he's asleep) will give you 16. 16 * 60 will give you 960 minutes. 480 minutes (when he's asleep) * 50 beats a minute = 24,000. 
960 (when he's awake) * 65 beats a minute = 62,400. add 24,000 and 62,400 = 82,400 beats in 24 hours.
8 0
3 years ago
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