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Furkat [3]
3 years ago
9

Please help.........​

Mathematics
1 answer:
Alex3 years ago
3 0

Answer:

- \frac{61}{11}

Step-by-step explanation:

\frac{x}{y} = \frac{5}{6} ( cross- multiply )

6x = 5y ( divide both sides by 6 )

x = \frac{5}{6} y

Then

\frac{5x+6y}{5x-6y} ← substitute x = \frac{5}{6} y into the expression

= \frac{\frac{25}{6}y+6y }{\frac{25}{6}y-6y }

= \frac{\frac{61}{6}y }{-\frac{11}{6}y }

= \frac{\frac{61}{6} }{-\frac{11}{6} }

= \frac{61}{6} × - \frac{6}{11}

= - \frac{61}{11}

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A simple random sample of 60 is drawn from a normally distributed population, and the mean is found to be 28, with a standard de
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The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.

<h3>What is a confidence interval?</h3>

In statistics, a confidence interval is a range to estimate for unknown terms.

The most common level is the 95% confidence interval.

It can be calculated by

CI = Mean ± margin of error.

α = 1 - 0.95 = 0.05

α/2 = 0.025

z(0.025) = 1.96

We need to find the \frac{\sigma}{\sqrt{n} }

\frac{5}{\sqrt{60} } = 0.645

So,

z \times \frac{\sigma}{\sqrt{n} } = 1.96 × 0.645

CI =1.26

C.I= 28±1.2652

Upper limit = 28+1.2652

                  =29.2625

Lower limit =28-1.2652

                   =26.7348

Hence, The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.

Learn more about confidence intervals;

brainly.com/question/12899226

5 0
2 years ago
A ladder is 61 inches tall. How tall is it in feet and inches
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Answer:

5'1

Step-by-step explanation:

Every 12 inches is a foot. 12 x 5 is 60. Plus 1. Is 61.

That mean's it's 5 feet 1 inch.

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