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xeze [42]
3 years ago
6

The probability is 1% that an electrical connector that is kept dry fails during the warranty period. If the connector is ever w

et, the probability of a failure during the warranty period is 5%. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period?
Mathematics
1 answer:
navik [9.2K]3 years ago
3 0

Answer:

A 1.4% of the total connectors are expected to fail during the warranty period.

Step-by-step explanation:

Let's assume a population of 1000 connectors (to make the math easiest) and let's analize the dry connectors.  

Of the 1000 connectors, 900 are kept dry. and of that number, 9 are the ones that fails during the warranty period.  (90% of 1000 is 900. 1% of 900 is 9)

Of the 1000 connectors, 100 are wet. And of that number, 5 are connectors that will fail during the warranty period. (10% of 1000 is 100, and 5% of 100 is 5)

So overall we have 14 connectors that will fail from 1000 connectors.

That is a 1.4% of the total samples.

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Let f(x)=2x+2. Solve f^-1(x) when x=4
Gre4nikov [31]
F⁻¹(x) stands for the invers of function f(x). The inverse of f(x) is equal to x. We need to solve for x.

solve for x
f(x) = 2x + 2
2x + 2 = f(x)
2x = f(x) - 2
  x = \dfrac{f(x)-2}{2}
f⁻¹(x) = \dfrac{x-2}{2}

Determine the value of f⁻¹(x) when x = 4
f⁻¹(x) = \dfrac{x-2}{2}
f⁻¹(4) = \dfrac{4-2}{2}
f⁻¹(4) = \dfrac{2}{2}
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3 years ago
In a certain region, there is a 0.1 probability that any checked passerine bird's nest will
mamaluj [8]

Answer:

Probability of at least two cuckoo eggs is 0.738.

Step-by-step explanation:

probability of cuckoo egg = 0.1

probability of not a cuckoo egg = 1 - 0.1 = 0.9

Probability of at least two cuckoo eggs is

= Probability of two cuckoo eggs x probability of 1 not cuckoo egg +

probability of three cuckoo eggs

= 0.1 x 0.1 x 0.9 + 0.9 x 0.9 x 0.9

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)) Evaluate the expression for b = 7.<br> 11b - 75 =
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Answer:

The answer is 2.

Step-by-step explanation:

11(7) - 75

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7 0
3 years ago
Please help - Will give BRAINLIEST!!
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Answer:

For the first one:

A' (-8,6)

B' (-9,10)

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6 0
1 year ago
The area of a rectangle is 4w - 10 square units.
podryga [215]

Area of rectangle = 2(2w - 5) is the factored form of given expression

Multiplying the length and width of a rectangle, we get the area of the rectangle

<em><u>Solution:</u></em>

Given that, area of rectangle is 4w - 10 square units

We have to factor the expression

From given,

Area of rectangle = 4w - 10

Take 2 as common factor

Area of rectangle = 2(2w - 5)

Thus the given expression is factored

<em><u>The area of rectangle is given as:</u></em>

Area\ of\ rectangle = length \times width

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