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Alexxx [7]
3 years ago
7

Suppose we are interested in surveying the problematic water pipes in New York City. It is known that 10% of the NYC water pipes

have some problems. City officials develop a non-intrusive test machine to scan the underground pipes. The machine correctly identifies 95% of the problematic sites (i.e. the machine says the pipe has a problem for a site that in fact has an issue), but it wrongly identifies 5% of the sites as problematic (i.e. machine says the pipe has a problem for a site that does not have an issue with the probability of 5%). What is the probability that a site has no problem when the machine says that the pipe at the site has no issue
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
8 0

Answer:

The probability that a site has no problem when the machine says that the pipe at the site has no issue is

0.905

Step-by-step explanation:

Confidence level = 95%

Error level = 5% (1 - 95%)

Since the probability that the machine says the pipe has a problem for a site that in fact has an issue = 95% and the pipe has a problem in 10% of the case, this means that the pipe has a problem in exactly 0.095 (10% * 95%).

Therefore, the probability that a site has no problem when the machine says that the pipe at the site has no issue = 0.905 (1 - 0.095).

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The following are the distances (in miles) to the nearest airport for 12 families. 6, 7, 8, 8, 16, 19, 23, 24, 26, 27, 34, 35 No
AveGali [126]

Using it's definitions, the five-number summary and the interquartile range for the data-set is given as follows:

  • Minimum: 6
  • Lower quartile: 8
  • Median: 21.
  • Upper quartile: 27
  • Maximum: 35
  • Interquartile range: 19

<h3>What are the median and the quartiles of a data-set?</h3>

  • The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
  • The first quartile is the median of the first half of the data-set.
  • The third quartile is the median of the second half of the data-set.
  • The interquartile range is the difference of the third quartile and the first quartile.

This data-set has 12 elements, which is an even number, hence the median is the mean of the 6th and 7th elements, as follows:

Me = (19 + 23)/2 = 21.

The first quartile is the median of 6, 7, 8, 8, 16, which is the third element of 8.

The third quartile is the median of 23, 24, 26, 27, 34, 35, which is of 27. Hence the interquartile range is of 27 - 8 = 19.

The minimum is the lowest value in the data-set, which is of 6, while the maximum is of 35, which is the largest value in the data-set.

More can be learned about the five-number summary and the interquartile range at brainly.com/question/3876456

#SPJ1

4 0
2 years ago
In a circle with center C and radius 6, minor arc AB has a length of 4pi. What is the measure, in radians, of central angle ACB?
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To solve this problem, we need to know that 
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We're given
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Answer: the central angle is 2pi/3 radians, or (2pi/3)*(180/pi) degrees = 120 degrees
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HACTEHA [7]
First, let's re-arrange to slope-intercept form.

x + 8y = 27

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So the slope of this line is -1/8, to find the slope that is perpendicular to this, we multiply it by -1 and flip it. -1/8 * -1 = 1/8, flipping it will give us 8/1 or 8.

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Answer:

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Step-by-step explanation:

For such a problem as this, you can replace all sine or cosine functions with their midline value of 0. Then you have ...

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  y = -2.5

_____

Perhaps you can see that the midline is the value of any constant added to a sine or cosine function.

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