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Inessa [10]
3 years ago
9

If n(U) = 125, n(A) = 80, n(B) = 65,then, greatest value of n(AUB) is​

Mathematics
2 answers:
Marysya12 [62]3 years ago
6 0

Answer:

650,000

Step-by-step explanation:

Given these numbers in the question, multiply all three numbers to get your final answer which is 650,000.

RSB [31]3 years ago
6 0

The greatest value of n(AUB) is "145".

  • An component as well as substance or entity that belongs to both A and B would be included throughout the Union.
  • A union is denoted by "U".

Given:

→ n(U) = 125

→ n(A) = 80

→ n(B) = 65

As we know,

The formula is:

⇒ n(A \cup B)_{max} = n(A)+n(B)

By substituting the given values of n(A) and n(B), we get

                         =80+65

                         =145

Thus the correct answer is n(AUB) = 145.

Learn more about n(AUB) here:

brainly.com/question/16053486

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A random sample of 36 students at a community college showed an average age of 25 years. Assume the ages of all students at the
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98% confidence interval for the average age of all students is [24.302 , 25.698]

Step-by-step explanation:

We are given that a random sample of 36 students at a community college showed an average age of 25 years.

Also, assuming that the ages of all students at the college are normally distributed with a standard deviation of 1.8 years.

So, the pivotal quantity for 98% confidence interval for the average age is given by;

             P.Q. = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

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So, 98% confidence interval for the average age, \mu is ;

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P(-2.3263 < \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } < 2.3263) = 0.98

P( -2.3263 \times {\frac{\sigma}{\sqrt{n} } < {\bar X - \mu} < 2.3263 \times {\frac{\sigma}{\sqrt{n} } ) = 0.98

P( \bar X - 2.3263 \times {\frac{\sigma}{\sqrt{n} } < \mu < \bar X +2.3263 \times {\frac{\sigma}{\sqrt{n} } ) = 0.98

98% confidence interval for \mu = [ \bar X - 2.3263 \times {\frac{\sigma}{\sqrt{n} } , \bar X +2.3263 \times {\frac{\sigma}{\sqrt{n} } ]

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Therefore, 98% confidence interval for the average age of all students at this college is [24.302 , 25.698].

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<em />

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