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sveta [45]
3 years ago
11

Aircraft landing gears coming from a facility are inspected for defects with the aim to improve the failure rates. Historical da

ta shows that 10% have defects in shafts only, 8% have defects in bushings only, and 4% have the two types of defects. An assembly is selected arandom, what is the probability it contains no defects
Mathematics
1 answer:
erica [24]3 years ago
5 0

Answer:

78% probability it contains no defects

Step-by-step explanation:

We have that:

10% have defects in shafts only.

8% have defects in bushings only.

4% have the two types of defects.

An assembly is selected arandom, what is the probability it contains no defects

Either it has at least one defect, or it has no defects. The sum of these probabilities is 100%. So

D + ND = 100

Probability that it has a defect

D = 10 + 8 +4 = 22%

No defects:

22 + ND = 100

ND = 78

78% probability it contains no defects

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4 pencils and 3 crayons are 20.9 inches. 5 pencils and 4 crayons are 26.5 inches. Each pencil is the same length as the other pe
erastova [34]

Answer:

The length of the pencils is 4.1 inches and for the crayons 1.5 inches

Step-by-step explanation:

We can solve by means of a 2x2 system of equations, we have to:

let "x" be the length of the pencils

let "y" be the length of the crayons

4 * x + 3 * y = 20.9

5 * x + 4 * y = 26.5 => x = (26.5 - 4 * y) / 5

Replacing:

4 * (26.5 - 4 * y) / 5 + 3 * y = 20.9

21.2 - 3.2 * y + 3 * y = 20.9

-0.2 * y = 20.9 - 21.2

y = -0.3 / -0.2

y = 1.5

now for x:

x = (26.5 - 4 * 1.5) / 5

x = 4.1

This means that the length of the pencils is 4.1 inches and for the crayons 1.5 inches

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3 years ago
A particle moves along a straight line with equation of motion s = f(t), where s is measured in meters and t in seconds. Find th
kirza4 [7]

Answer:

Step-by-step explanation:Find the slope of the line that passes through the points shown in the table.

The slope of the line that passes through the points in the table is

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6 0
3 years ago
What is the greatest common factor of the terms in the expression 21x-18x+28xy
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Answer:

x(3+28y)

Step-by-step explanation:

21x-18x+28xy

3x+28xy

x(3+28y)

8 0
2 years ago
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Abby has been absent from class.how would you explain to her what absolute value is use the number line and an example in yout e
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Alright so if you have a negative number let's say -5 if you put the absolute value symbols around it like so |-5| then it becomes positive. Whatever is in the lines becomes positive, that's why I call it the positive box. It describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The number is never negative
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3 years ago
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Answer: 3/5

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25x^2 - 30x + 9 = (5x - 3)^2

Therefore, the repeated root of this quadratic is the solution to 5x - 3=0, which is 3/5

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3 years ago
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