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OleMash [197]
3 years ago
9

Fill in the blank by performing the indicated elementary row operation(s).

Mathematics
1 answer:
Scilla [17]3 years ago
6 0

In this question, we are given a matrix, and we have to perform the given operation.

The matrix is:

\left[\begin{array}{ccc}6&-1&|5\\1&-5&|0\end{array}\right]

The following operation is given:

R_1 \rightarrow -6R_2 + R_1

In which R_1 is the element at the first line and R_2 is the element at the second line.

Updating the first line:

R_{1,1} = -6*1 + 6 = 0

R_{1,2} = -6*-5 - 1 = 30 - 1 = 29

R_{1,3} = -6*0 + 5 = 5

Thus, the filled matrix will be given by:

\left[\begin{array}{ccc}0&29&|5\\1&-5&|0\end{array}\right]

For another example where row operations are applied on a matrix, you can check brainly.com/question/18546657

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A shipment of 50,000 transistors arrives at a manufacturing plant. The quality control engineer at the plant obtains a random sa
Aleks04 [339]

Step-by-step explanation:

remember, the number of possible combinations to pick m out of n elements is C(n, m) = n!/(m! × (n-m)!)

50,000 transistors.

4% are defective, that means 4/100 = 1/25 of the whole.

so, the probability for one picked transistor to be defective is 1/25.

and the probability for it to work properly is then 1-1/25 = 24/25.

now, 500 picks are done.

to accept the shipment, 9 or less of these 500 picks must be defective.

the probability is then the sum of the probabilities to get

0 defective = (24/25)⁵⁰⁰

1 defective = (24/25)⁴⁹⁹×1/25 × C(500, 1)

= 24⁴⁹⁹/25⁵⁰⁰ × 500

2 defective = (24/25)⁴⁹⁸×1/25² × C(500, 2)

= 24⁴⁹⁸/25⁵⁰⁰ × 250×499

3 defective = 24⁴⁹⁷/25⁵⁰⁰ × C(500, 3) =

= 24⁴⁹⁷/25⁵⁰⁰ × 250×499×166

...

9 defective = 24⁴⁹¹/25⁵⁰⁰ × C(500, 9) =

= 24⁴⁹¹/25⁵⁰⁰ × 500×499×498×497×496×495×494×493×492×491 /

9×8×7×6×5×4×3×2 =

= 24⁴⁹¹/25⁵⁰⁰ × 50×499×166×71×31×55×494×493×41×491

best to use Excel or another form of spreadsheet to calculate all this and add it all up :

the probability that the engineer will accept the shipment is

0.004376634...

which makes sense, when you think about it, because 10 defect units in the 500 is only 2%. and since the whole shipment contains 4% defect units, it is highly unlikely that the random sample of 500 will pick so overwhelmingly the good pieces.

is the acceptance policy good ?

that completely depends on the circumstances.

what was the requirement about max. faulty rate in the first place ? if it was 2%, then the engineer's approach is basically sound.

it then further depends what are the costs resulting from a faulty unit ? that depends again on when the defect is usually found (still in manufacturing, or already out there at the customer site, or somewhere in between) and how critical the product containing such transistors is. e.g. recalls for products are extremely costly, while simply sorting the bad transistors out during the manufacturing process can be rather cheap. if there is a reliable and quick process to do so.

so, depending on repair, outage and even penalty costs it might be even advisable to have a harder limit during the sample test.

in other words - it depends on experience and the found distribution/probability curve, standard deviation, costs involved and other factors to define the best criteria for the sample test.

3 0
2 years ago
Please give me the correct answer. No mistakes. Thanks.
IceJOKER [234]

Answer:

Hello there, I think the answer you are looking for is 16.6

Step-by-step explanation:

I'm Katie, I hope this helps you. :] , have a great day.

6 0
3 years ago
The Taieri Plain in New Zealand is 6 feet below sea level (or –6 feet). If you are standing 3 feet above sea level, is your elev
andrew-mc [135]

Answer:

NO

Step-by-step explanation:

Opposite numbers are the same distance from 0 on the number line, but in opposite directions. Steps I would follow:

first, check the directions to make sure they are opposite,

then read the digits, or count the tick marks or compare lengths with dividers or ruler or marks on a piece of paper to see if the distances are the same.

3 is not the opposite of -6

Therefore 6 is the opposite of -6

3 0
3 years ago
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Hatshy [7]
What is the question
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1 year ago
3n - n + 7 = 25<br><br>Help plz
WARRIOR [948]
The answer is N=6 but first you have to simplify the problem try that '

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