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a researcher is studying a group of field mice. the distribution of the weight of field mice is approximately normal with mean 2

yarga [219]

The proportion of field mice weighing more than 33 grams in the distribution will be about 0.2275

Mean, μ = 25 grams
Standard deviation, σ = 4 grams
Score, X = 33 grams

We need to calculate the P(Z > Zscore)

Recall :

Zscore = (X - μ) ÷ σ

For X > 33 :

Zscore = (33 - 25) ÷ 4 = 2

Therefore, the probability would be expressed as :

P(Z > 2) = 1 - P(Z < 2)

From the normal distribution table :

P(Z < 2) = 0.97725

Therefore,

P(Z > 2) = 1 - 0.97725 = 0.02275

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4 0

2 years ago

the graph of f is given. state the numbers at which f is not differentiable. (enter your answers as a comma-separated list.)

artcher [175]

The numbers at which f is not differentiable are; -1, and 2

The reason the above list of numbers at which f is not differentiable are correct are given as follows:

Question; Please find attached a graph that can be used to solve the question

A function is not differentiable at a point where the function has a discontinuity. That is a point on the graph were there is a break in the graph

Therefore, the given graph of f shows that the function is not differentiable at x = -1, the point where the graph has a discontinuity

A function is not differentiable at a point where the graph of the function has a kink or corner.

The graph of f has a kink at x = 2, therefore, the function is also not differentiable at x = 2

Learn more about differentiability of a function here:

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6 0

2 years ago

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

torisob [31]

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°.

Learn more about white light.

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5 0

2 years ago

Which of earths spheres contains mountains valleys and other landscapes

Over [174]

The answer is most likely A

8 0

3 years ago

Read 2 more answers

Nadia has inserted an image into a Word document and now would like to resize the image to fit the document better. What is the

yKpoI14uk [10]

By using the F4 function. Second, click the down arrow button in “Size” group under “Format” tab to open the “layout” dialog box. In the dialog box open, change the height and width as you need first. Then clear the “Lock aspect ratio” and “Relative to original picture size” boxes in “Scale” part. Lastly, click “OK”.

7 0

2 years ago