What is 1 standard deviation on a

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

3 0

Answer:

D. The distance from the mean to an inflection point

Step-by-step explanation:

We rarely encounter the actual formula for the normal PDF. It is ...

$p(x)=\dfrac{1}{\sqrt{2\pi}}e^{-\dfrac{x^2}{2}}$

In fact, the inflection points are at x = ±1, where the curve changes from being concave downward to concave upward.

So, one standard deviation is the distance from the mean to an inflection point.

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"A grain silo is shown below.

Phantasy [73]

V = r² π h + 1/2 · 4/3 r³ π
V = 6² · 22/7 · 198 + 4/6 · 6³ · 22/7
V = 36 · 22 · 24 + 144 · 22/7 = 19,008 + 452.57 = 19,460.57 ≈ 19,461 ft³
Answer: B ) 19,461 ft³

4 0

3 years ago

Mark owns Siberian Husky sled dogs. He knows from data collected over the years that the weight of the dogs is a normal distribu

kozerog [31]

Calculate the z-score for the given data points in the item using the equation,

z-score = (x - μ) / σ

where x is the data point, μ is the mean, and σ is the standard deviation.

Substituting,
(47.7) z-score = (47.7 - 52.5)/2.4 = -2

This translates to a percentile of 2.28%.

(54.9) z-score = (54.9 - 52.5)/2.4 = 1

This translates to a percentile of 84.13%.

Then, subtract the calculate percentiles to give us the final answer of <em>81.85%.</em>

Thus, 81.85% of the Siberian Husky sled dogs are expected to weigh between 47.7 and 54.9 lbs.

8 0

3 years ago

What is the value of the x-coordinate of point W? Enter your answer as a decimal to the nearest o.5.

Rus_ich [418]

Answer:

The value of the x-coordinate is -3.5.

Step-by-step explanation:

To determine the x-coordinate you have to look at how far the point is on the x-axis which is the sideways line of the graph.

Point W is between -3 and -4 on the x-axis which would make the x-coordinate -3.5.

Hope this helps!

5 0

3 years ago