Use the slider to rotate AABC about point P through different angles of rotation (a). As you move the slider, you'll see the ima
ge, AA'B'C'.
move on the screen. At what angles of rotation does AA'B'C' coincide with each of the other triangle images?
move on the screen. At what angles of rotation does AA'B'C' coincide with each of the other triangle images?
1 answer:
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Answer:
And we can find this probability using excel or the normal standard tabe and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the temperatures of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using excel or the normal standard tabe and we got:
Get the value of the decimal:
Remember that percentages are simply the value of a decimal multiplied by 100. (From the Latin, "per centus", meaning "per 100")
therefore:
Remember that percentages are simply the value of a decimal multiplied by 100. (From the Latin, "per centus", meaning "per 100")
therefore: