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3 years ago

A square tile has an area of 324 square inches. what is the perimeter of the square tile in inches?

Mathematics

1 answer:

kotykmax [81]3 years ago

7 0

The formula of an area of a square: $A=a^2$

a - side

We have: $A=324\ in^2$

substitute:

$a^2=324\to a=\sqrt{324} \to a=18\ in$

The fromula of a perimeter of a square is: $P=4a$

substitute:

$P=4\cdot18=72\ in^2$

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TEA [102]

To solve for the inverse, just swap the x and y and solve for the new y.

$y=\sqrt{x} -8$

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$x+8=\sqrt{y}$

$(x+8)^2=y$

Then inspect both functions for the domain.

In the original function, x has to be greater than or equal to 0 or else you would have a negative square root which is impossible.

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The main things that will limit domain is square root of negative or divide by zero.

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3 years ago

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3 years ago

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Zielflug [23.3K]

You have 2 equations that are both equal to y. If they are both equal to y, then by the transitive property of equality, they are equal to each other (if a = b, and b = c, then a = c).
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3 years ago

Assume that the amount of beverage in a randomly selected 16-ounce beverage can has a normal distribution. Compute a 99% confide

ioda

Answer:

The question is incomplete, but the step-by-step procedures are given to solve the question.

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 $1 - \alpha$ .

That 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.

$M = 2.575\frac{\sigma}{\sqrt{n}}$

The lower end of the interval is the sample mean subtracted by M.

The upper end of the interval is the sample mean added to M.

The 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is (lower end, upper end).

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3 years ago