Write an integer (positive or negative whole number) to represent each description.
1 answer:
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The Chebychev's theorem states that for any numerical data set,
1.) at least
of the data lie within two standard deviations of the mean;
2.) <span> at least </span><span><span>
of the data lie within three standard deviations of the mean</span>;
3.) at least </span><span><span>
of the data lie within k standard deviations of the mean,</span> where k is any positive whole number that is greater than 1.</span>
Thus, given a data set with a mean of 150 and a standard Deviation of 15, 75% of the data represent of the data, and according to Chebychev's theorem, <span>at least of the data lie within two standard deviations of the mean.
Thus, 75% of the data will fall within the interval
.
Therefore, 75% of the data will fall within the interval 120 to 180.</span>
1.) at least
2.) <span> at least </span><span><span>
3.) at least </span><span><span>
Thus, given a data set with a mean of 150 and a standard Deviation of 15, 75% of the data represent
Thus, 75% of the data will fall within the interval
Therefore, 75% of the data will fall within the interval 120 to 180.</span>
Answer:
Option B
Step-by-step explanation:
Notice that the region of the inequality is bounded by a line.
The first thing to do is find the equation of this line.
Note that the line intersects the x-axis at and intercepts the y-axis at
We know that the equation of a line has the following form:
Where m is the slope of the line and b is the intercept with the y axis.
So we already know that:
Then we know that when then
Thus:
Ahroa we clear m.
Then, the equation of the line is:
We can also multiply by -2 both sides of the equation and we have:
Then:
The option that contains this equation is option B.
To verify it, enter a point within the shaded region, such as the point (0,0), in the selected inequality. If the inequality is satisfied then option B is correct
The inequality is satisfied because 0 is less than 5. Then the correct option is B