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Gekata [30.6K]
3 years ago
7

Drag the tiles to the correct boxes to complete the pairs.

Mathematics
1 answer:
worty [1.4K]3 years ago
7 0

Answer:

i^223 = -i

i^113 = i

i^82 = -1

i^48 = 1

Step-by-step explanation:

These are rules of i.

i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1

You just have to apply this to the powers you are given.

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Find the gradient of the line segment between points (8,6) and (10,14)
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Answer: 4

Step-by-step explanation:

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2 years ago
Find sum or difference.<br><br>-1/2 + 1/3
Free_Kalibri [48]
2/5 is the answer unless your multiplying
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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
1 year ago
Tickets to a movie cost $7.25 for adults and $5.50 for students. a group of friends purchased 8 tickets for $52.75. how many adu
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There will be 5 adults and 3 students
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Write an expression to represent the perimeter of:
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"Perimeter" is the distance all the way around the drawing.  If the drawing has sides, then the perimeter is the SUM of the lengths of all the sides.  It's exactly the distance an ant would have to walk along the line, to get all the way around to where he started from.

To get the perimeter of the triangle, you have to add up the lengths of the three sides.

(2a - 3) + (2a) + (3a + 1) =

2a - 3 + 2a + 3a + 1 .

Add up all the 'a's: 2a + 2a + 3a = 7a

Add up all the just plain numbers: -3 + 1 = -2

Write them together, as a binomial:  7a - 2

THAT's your expression for the perimeter.

4 0
3 years ago
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