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3 years ago

How do you find area and perimeter of a rectangle with the side lengths of 5x^2 and 12x?

Mathematics

1 answer:

valentinak56 [21]3 years ago

8 0

Answer:

The area can be found by multiplying the two terms, and the perimeter by doubling and adding them.

Using this, we find that the area of the rectangle is 60x³, and the perimeter is 10x² + 24x.

Step-by-step explanation:

First let's find the area:

5x² × 12x

= 60x³

Now the perimeter:

2(5x² + 12x)

= 10x² + 24x

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In a study of the accuracy of fast food drive-through orders, Restaurant A had 295 accurate orders and 55 that were not accurat

Afina-wow [57]

Answer: (a) $14.5\%$

(b) Restaurant B has a significantly lower percentage of orders that are not accurate.

Step-by-step explanation:

Confidence interval for population proportion is given by :-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

Given: Significance level : $\alpha: 1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

For Restaurant A , The proportion of orders not accurate : $p=\dfrac{55}{295}\approx0.19$

Then , the Confidence interval for population proportion will be :-

$0.19\pm (1.96)\sqrt{\dfrac{0.19(1-0.19)}{295}}\\\\=0.19\pm0.045=(0.145,0.235)=(14.5\%,23.5\%)\\\\\text{i.e.}14.5\%$

Also, 95% confidence interval for the percentage of orders that are not accurate at Restaurant B: $0.138$

By comparing both the lower confidence limit and upper confidence limit of the interval for Restaurant B is lower than the lower confidence limit of t and the upper confidence limit of the interval for Restaurant A.

Therefore, Restaurant B has a significantly lower percentage of orders that are not accurate.

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3 years ago

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Serggg [28]

The answer for your question is

N=2.5

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Step-by-step explanation:

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