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tatuchka [14]
2 years ago
6

The universal set is the set of rational numbers. S is the set of integers. Which represents Sc?The universal set is the set of

rational numbers. S is the set of integers.
Which represents Sc?
Mathematics
2 answers:
faltersainse [42]2 years ago
8 0
<span>The universal set is the set of rational numbers. S is the set of integers. represents by the below:

</span><span>{x|x is a rational non-integer}

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
</span>
Y_Kistochka [10]2 years ago
6 0

Answer:

The set of numbers of the form \frac{p}{q} , q≠0 and q≠ 1 or -1.

Step-by-step explanation:

We have that,

U = the universal set = the set of all rational numbers

S = set of all integers.

It is required to find S^{c}.

Now, S^{c} is the complement of the set S.

i.e. S^{c} = U - S = set if rational numbers - set of integers

i.e. S^{c} = the set of rationals which are not integers i.e. the set of points of the form \frac{p}{q} , q≠0 and q≠ 1 or -1.

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A point and a line.

<h3>Further explanation </h3>

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Keywords: which pair of undefined terms, to define a ray, point, line, plane, endpoint, one direction, the arrow

4 0
2 years ago
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The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard dev
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Answer:

(a) Probability that a sheet selected at random from the population is between 30.25 and 30.65 inches long = 0.15716

(b) Probability that a standard normal random variable will be between .3 and 3.2 = 0.3814

Step-by-step explanation:

We are given that the population of lengths of aluminum-coated steel sheets is normally distributed with;

    Mean, \mu = 30.05 inches        and    Standard deviation, \sigma = 0.2 inches

Let X = A sheet selected at random from the population

Here, the standard normal formula is ;

                  Z = \frac{X - \mu}{\sigma} ~ N(0,1)

(a) <em>The Probability that a sheet selected at random from the population is between 30.25 and 30.65 inches long = P(30.25 < X < 30.65) </em>

P(30.25 < X < 30.65) = P(X < 30.65) - P(X <= 30.25)

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Therefore, P(30.25 < X < 30.65) = 0.9985 - 0.84134 = 0.15716 .

(b)<em> Let Y = Standard Normal Variable is given by N(0,1) </em>

<em> Which means mean of Y = 0 and standard deviation of Y = 1</em>

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Therefore, P(0.3 < Y < 3.2) = 0.99931 - 0.61791 = 0.3814 .

 

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