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3 years ago

What is the perimeter of a square which has the same area as a circle with circumfrence of 4π

Mathematics

1 answer:

Kruka [31]3 years ago

8 0

Answer:

Perimeter square = 8 sqrt(pi)

Step-by-step explanation:

The perimeter of a square is 4*s

The area of a circle is Area = pi * r^2

The circumference of a circle is C = 2*pi * r

C = 4 pi

4pi = 2*pi * r

r = 2

So the area of the circle is pi * r^2 = pi * 2^2 = 4pi

The square has the same area

Area = 4*pi

Square = 4*pi

s^2 = 4*pi

s = sqrt(4*pi)

s = 2*sqrt(pi)

The perimeter = 4 * 2 * sqrt(pi)

The perimeter = 8 * sqrt(pi)

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3 years ago

Sole for y k = p/2(y+w) y =

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Answer:

Answer: y = (2k -pw)/p

Step-by-step explanation:

$k = \frac{p}{2} (y + w)$

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open the bracket:

$2k = py + pw$

subtract pw from both sides:

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3 years ago

An ammunition producer claims his best product has an average lifespan of exactly 18 years. A skeptical product evaluator asks f

DochEvi [55]

Answer:

The 90% confidence interval for the true mean lifespan of this product is between 13.1 and 16.9 years.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 50 - 1 = 49

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 1.6766

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 1.6766\frac{8}{\sqrt{50}} = 1.9$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 15 - 1.9 = 13.1 years

The upper end of the interval is the sample mean added to M. So it is 15 + 1.9 = 16.9 years

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