Mathematics, 05.11.2019 05:31, collin0123

If the distribution of the population has a nonzero standard deviation and mean 10 then the probability that an individual data value will be greater than 11 is always less than the probability that the mean of 25 randomly selected data values will be greater than 11

true or false?

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answered: Serenitybella

FALSE

Step-by-step explanation:

The central limit theorem tell us that for a random sample of size n, the average of the sample will be approximately normally distributed with mean $\mu$ and variance $\sigma^2/n$ , where $\mu$ and $\sigma^2$ are the mean a variance respectively of the sampling distribution. This always that the mean and the variance are both finite and the sample size n is greater than 30. We could use the central limit theorem, but in this case does not help us because we are considering 25 randomly selected data values, besides, we do not know the distribution of the original population.

answered: Guest

it would more likely be bald eagle because its has more in the box so about 75%.

step-by-step explanation:

answered: Guest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

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If the distribution of the population has a nonzero standard deviation and mean 10 then the probabil...