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loris [4]
3 years ago
7

Mrs. simms told her class to find two consecutive even integers such that twice the lesser of two intergers is 4 less than two t

imes the greater integer
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0

Let the two consecutive even integers be 'x' and 'x+2'.

The lesser number is 'x' and greater number is 'x+2'

Since, twice the lesser of two integers is 4 less than two times the greater integer.

therefore, 2x = 2(x+2)-4

2x = 2x +4 -4

Therefore, x =0

Hence, x+ 2 = 2

Therefore, 0 and 2 are the required consecutive even integers.

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Suppose a large labor union wishes to estimate the mean number of hours per month a union member is absent from work. The union
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Answer:

The 99% confidence interval for the true mean number of hours a union member is absent per month is (0 hours, 16.5125 hours).

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find M as such

M = z*s

In which s is the standard deviation of the sample.

So

M = 2.575*3.5 = 9.0125

The lower end of the interval is the mean subtracted by M. So it is 7.5 - 9.0125 = -...

There is not a negative number of hours. So the lower end of the interval is 0 hours.

The upper end of the interval is the mean added to M. So it is 7.5 + 9.0125 = 16.5125 hours.

The 99% confidence interval for the true mean number of hours a union member is absent per month is (0 hours, 16.5125 hours).

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