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4 years ago

What is the perimeter of a square whose diagonal is 13.010

Mathematics

1 answer:

miskamm [114]4 years ago

8 0

The perimeter would be ≈ 36.797836892947.

Rounded would be about 37, or 36.8.

Hope this helps!!!!

$P=4a$

$d\sqrt{2a}$

Solving for P:

$P=2\sqrt{2d} =2*\sqrt{2*13.01}$ ≈36.79784

Hope this helps!!

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About 10% of people in the United States are left handed. Suppose we take a sample of 120 U.S. Residents, and let X = the number

olganol [36]

Answer:

1) $E(X) = np = 120*0.1 =12$

$SD(X) = \sqrt{np(1-p)}= \sqrt{120*0.1*(1-0.1)} =3.286$

For this case we can interpret that the expected variation around the mean is about 3.3 people approximated

2) $P(X\geq 16)$

And we can use the normal approximation given by:

$X \sim N(12, \sigma =3.286)$

And we can use the z score formula given by:

$z = \frac{X -\mu}{\sigma}$

And if we find the z score for 16 we got:

$z = \frac{16-12}{3.286}= 1.217$

And we can find this probability using the normal standard distribution or excel and we got:

$P(Z>1.217) = 0.112$

3) For this case we can conclude that the probability to find 16 or more individuals left handed in a sample of 120 is about 0.112 or 11.2%

Step-by-step explanation:

Let X represent the random variable for the number of residents who are left handed

And for this case we can model this variable with this distirbution:

$X\sim Binom(n= 120 , p =0.1)$

Part 1

The mean is given by:

$E(X) = np = 120*0.1 =12$

And the deviation would be:

$SD(X) = \sqrt{np(1-p)}= \sqrt{120*0.1*(1-0.1)} =3.286$

For this case we can interpret that the expected variation around the mean is about 3.3 people approximated

Part 2

We want to calculate this probability:

$P(X\geq 16)$

And we can use the normal approximation given by:

$X \sim N(12, \sigma =3.286)$

And we can use the z score formula given by:

$z = \frac{X -\mu}{\sigma}$

And if we find the z score for 16 we got:

$z = \frac{16-12}{3.286}= 1.217$

And we can find this probability using the normal standard distribution or excel and we got:

$P(Z>1.217) = 0.112$

Part 3

For this case we can conclude that the probability to find 16 or more individuals left handed in a sample of 120 is about 0.112 or 11.2%

7 0

3 years ago

A segment of length 94 cm has been rotated d degrees around a center 0. What is the length of the rotated segment? How do you kn

Gekata [30.6K]

Answer:

Length of rotated segment = 94 cm

Step-by-step explanation:

Rotation is transformation of a figure or a segment about a center which rotates the figure or segment about the center with the angle of rotation.

Rotation is that type of transformation in which the image and pre-image are congruent. This means that rotation has no effect on shape and size of figure or segment and thus, the shape and size of the figure or segment remains same after rotation.

It is given that a segment of length 94 cm is rotated $d$ degrees around a center $O$ .

The rotation will have no effect on size of the segment as stated above.

Thus, the segment after rotation will still measure 94 cm.

8 0

4 years ago

The angle o represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at

lbvjy [14]

Answer:

Step-by-step explanation:

7 0

3 years ago

Somebody help me plz

natima [27]

Answer:

1/3

Step-by-step explanation:

5 0

3 years ago

Find the slope of the line that contains the following pair of points:<br> (4,-5) and (-1, -3).

Tamiku [17]

Step-by-step explanation:

slope is y2-y1/x2-x1

-3-4=-7

-1-4=-5

now that you have -7/-5, or negative seven fifths, simplify.

you get -0.4, or -2/5 as your slope

Hope this helps!!

3 0

3 years ago