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STatiana [176]
3 years ago
6

A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distr

ibution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d ?
Mathematics
1 answer:
Rzqust [24]3 years ago
4 0

Answer:

The answer to the question is

The percent of the distribution is less than m + d is 84 %

Step-by-step explanation:

To solve the question we list out the variables

Percentage of distribution between m +d and m - d = 68 %

Therefore percentage that are outside the range of m + d and m - d = 32 %

For symmetry to be maintained, of the 32 % that are outside the range of m + d and m - d, 16 % are on either side of the range m + d to m - d

That is 16 % < (m-d) ↔ (m+d)< 16% total range = 100 %

Therefore the proportion of the range lesser than m+d = 100 - 16 or 84 %

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Let's say for example that w = 10 and q = 7. This means the distance between these values is w-q = 10-7 = 3. This is the distance between w and q.

Now let's make q larger. If w = 12 and q = 20, then w-q = 12-20 = -8 assuming we subtract in the same order. We use absolute value bars to ensure the result is positive. So instead we say

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Answer:

y = -2x + 1

Step-by-step explanation:

The y-intercept is given by the point that is on the y-axis. (1)

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In this case the slope is negative because the line goes "downhill" from left to right

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Next, to find the slope you need to find the rise over run

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Does the point (–3, 2) lie inside, outside, or on a circle with center (4, 0) and radius 5 units?
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Answer:

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The distance between two points (x₁, y₁) and (x₂, y₂) on the x-y plane can be calculated with:

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