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3 years ago

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The height of a person is a random variable with variance ≤5 inches 2 . According to Mr. Chebyshev, how many people do we need t

o sample to ensure that the sample mean is at most 1 inch away from the distribution mean with probability ≥95% ?

1 answer:

adell [148]3 years ago

7 0

Your answer is 12 i took it

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the volumes of two similar solids are 210 m3 and 1,680 m3. the surface area of the larger solid is 856 m2. what is the surface a

kolezko [41]

The surface area of the smaller solid is found to be 214 square meters.

<h3>What is Surface area?</h3>

The surface area is given as the sum of the area of all the faces of a three-dimensional object.

The same shape has equivalent ratio of the surface area to volume. It is given as:

$\rm \dfrac{\sqrt{area_1}}{\sqrt{area_2}}=\dfrac{\sqrt[3]{Volume_1} }{\sqrt[3]{Volume_2} }$

On considering the power of 6 at both the sides of the equation:

$\rm \dfrac{area_1^2}{area_2^2}=\dfrac{volume_1}{volume_2}$

Considering area 1 and volume 1 for the larger solid, and area 2 and volume 2 for the smaller solid, substituting the values give:

$\rm\dfrac{(856\;m^2)^3}{(area_^2)^3}=\dfrac{(1680\;m^3)^2}{(210\;m^3)^2}$

By solving the above equation, the area of the smaller solid is found as 214 square meters. Thus, option B is correct.

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What is a voice over in screen writing

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Answer: a narration

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A beam of white light goes from air into the water droplet at an incidence angle of 36.2 degrees. what is the angle between the

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A beam of white light goes from air into the water droplet at an incidence angle. The angle between the red (660 nm) and violet (410 nm) parts of the refracted light is 0.19°.

<h3>What is white light?</h3>

The white light is the ray coming directly from the Sun. When it strikes any glass object, an spectrum of colors with different wavelength is formed.

Given is the angle of incidence, i = 36.2°, the refractive index of water for red light is 1.331 , the refractive index of water for violet light is 1.340 and refractive index of air is 1.

Using the Snell's law, the angle of refraction of red light will be

1.331 x sin r(R) = 1 x sin 36.2

r(R) = 26.342°

Using the Snell's law, the angle of refraction of violet light will be

1.340 x sin r(R) = 1 x sin 36.2

r (V) = 26.152°

Difference in the angle of refraction of red and violet light is

r(R) - r (V) = 26.342 - 26.152 = 0.19°

Thus, the angle between the red (660 nm) and violet (410 nm) parts of the refracted light is 0.19°.

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Marta_Voda [28]

The correct answer is 3 + 6x. Heres why: Add or subtract all of your variables x + 2x + 3x = 6x. Now add or subtract your numbers 7-4= 3. 6x + 3 or 3 + 6x.

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