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slamgirl [31]
3 years ago
14

Find an expression for the number of colored border tiles needed for any N x N square center.

Mathematics
1 answer:
nekit [7.7K]3 years ago
7 0

Answer:

8N - 4 border tiles.

Step-by-step explanation:

There are 4 border tiles in each corner and between  the tiles there are N-2 tiles along the 4 sides.

So the number of border tiles

= 4+ 4(N - 2)

= 4 + 4N - 8

= 8N - 4.

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7 0
4 years ago
Find the minimum sample size necessary to be 99% confident that the population mean is within 3 units of the sample mean given t
SVEN [57.7K]

Answer:

The minimum sample size required is 207.

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for population mean <em>μ</em> is:

CI=\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

The margin of error of this confidence interval is:

MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

Given:

MOE=3\\\sigma=29\\z_{\alpha /2}=z_{0.01/2}=z_{0.05}=2.576

*Use a <em>z</em>-table for the critical value.

Compute the value of <em>n</em> as follows:

MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=2.576\times \frac{29}{\sqrt{n}} \\n=[\frac{2.576\times29}{3} ]^{2}\\=206.69\\\approx207

Thus, the minimum sample size required is 207.

3 0
3 years ago
Why do you think y= ax+b is called a linear equation <br> Please help
Shalnov [3]

Answer:

Y=mx+b Is a linear equasion because if you plot the x and y on a graph it always shows a straight line.

Step-by-step explanation:

For example, y=7x+9,

When x is 1 y is 16, and

when x is 2 y is 23.

When you put those two points on a graph and connect the dots with a ruler, you get a straight line, and you will automatically find that when x is 3 y is 30.

3 0
3 years ago
Read 2 more answers
Pls help asap
yuradex [85]

Answer:

y=525x+230

Step-by-step explanation:

525 is spent everyday. x is the number of days, so with each day $525 is spent.

$230 is a one time cost, regardless of how many days they stay on the trip.

3 0
4 years ago
1. If a bicycle wheel has a diameter of 15 in. How far will the wheel rotate in 10 rotations?​
WARRIOR [948]

Answer:

150 pi inches or 471.239 inches traveled

Step-by-step explanation:

First, close your eyes, and think about the distance a bike travels after one rotation of the wheel.

You will come to the realization that a full rotation of the wheel makes you travel the circumference of the wheel

The formula for circumference is 2(pi)(r) or (pi)(diameter)

We are given diameter, so let's find distance traveled for one rotation

pi(15 inches) = 15pi inches per rotation.

There are 10 rotations, so:

(15pi inches/rotation)(10 rotations) = 150pi inches travelled

150 x pi = 471.239 inches traveled

4 0
4 years ago
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