I need the answers please help
1 answer:
You might be interested in
Answer: OPTION D.
Step-by-step explanation:
Given the equilateral triangle shown in the figure, you need to find the value of the altitude "a".
In order to find the altitude, you can use the following Trigonometric Identity:
In this case you can identify that:
Therefore, you can substitute values into :
Finally, you must solve for the altitude "a". Then, this is:
Notice that this result matches with the value shown in Option D.
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>