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saw5 [17]
3 years ago
9

the sum of 2 numbers is 7 the larger number is 16 more than 2 times the smaller number what are the numbers

Mathematics
2 answers:
EastWind [94]3 years ago
7 0

Answer:

x=larger no

y= smaller no

Step-by-step explanation:

x+y=7--------(1)

x=16 + 2y------(2)

(2)--->(1)

16+2y+y = 7

3y + 16 = 7

3y = -9

y = -3//

so x=10

saw5 [17]3 years ago
3 0

Answer:

x=larger no

y= smaller no

Step-by-step explanation:

x+y=7--------(1)

x=16 + 2y------(2)

(2)--->(1)

16+2y+y = 7

3y + 16 = 7

3y = -9

y = -3//

so x=10

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Answer:

The minimum sample size required to create the specified confidence interval is 2229.

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 the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to create the specified confidence interval

This is n when M = 0.06, \sigma = 1.1

0.06 = 2.575*\frac{1.1}{\sqrt{n}}

0.06\sqrt{n} = 2.575*1.1

\sqrt{n} = \frac{2.575*1.1}{0.06}

(\sqrt{n})^{2} = (\frac{2.575*1.1}{0.06})^{2}

n = 2228.6

Rounding up

The minimum sample size required to create the specified confidence interval is 2229.

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