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3 years ago

13

THIS IS THE FOURTH TIME I HAVE POSTED THIS QUESTION. I HAVE BEEN STUCK ON THIS SAME QUESTION FOR AN HOUR

1 answer:

ValentinkaMS [17]3 years ago

7 0

So the culture banner size has length x, width x (since it is square)
The sports banner has length x+12, width x.

The area of the sports banner is length x width = x(x+12) = x²+12x.

Now, lets look at the tiles.

- The monomial, x, a factor of the expression is the width of the sports banner.

- The binomial (x+12) is the length of the spots banner (this is given!)

- The second degree term of the expression x²+12 is x², the area of the culture banner

- The first degree term of the expression x²+12x is 12x, it represents the increase in area, since the area went from x² to x²+12x

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Step-by-step explanation:

Given:

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for x≤1400; N = 5

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3 years ago

A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be c

Anna [14]

Answer:

The interval from the sample of size 400 will be approximately <u>One -half as wide</u> as the interval from the sample of size 100

Step-by-step explanation:

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

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Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

Here assume that $Z_{\frac{\alpha }{2} } \ and \ \sigma \$ is constant so

$E = \frac{k}{\sqrt{n} }$

=> $E \sqrt{n} = K$

=> $E_1 \sqrt{n}_1 = E_2 \sqrt{n}_2$

So let $n_1 = 400$ and $n_2 = 100$

=> $E_1 \sqrt{400} = E_2 \sqrt{100}$

=> $E_1 = \frac{\sqrt{100} }{\sqrt{400} } E_2$

=> $E_1 = \frac{1}{2 } E_2$

So From this we see that the confidence interval for a sample size of 400 will be half that with a sample size of 100

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3 years ago