Answer:
D. The intersection of the angle bisectors.
Step-by-step explanation:
The incenter is equidistant from each of the sides of the triangle. An angle bisector is the set of points equidistant from the sides, so the incenter is the place where the angle bisectors meet.
Answer:
Step-by-step explanation:
72%
To solve for x, you first add 5 to both sides so it remains equal.
3 + x = 2
Then you simply subtract 3 on both sides.
x = -1
Substitute your solution into the equation and see it is true.
|3+(-1)) - 5 = -3
The equation is true, therefore your answer is: x = -1
<u></u><u>The correct answer is 47.5%, or 0.475.</u>
Explanation:
The empirical rule states that in any normal distribution:
68% of data will fall within 1 standard deviation of the mean;
95% of data will fall within 2 standard deviations of the mean; and
99.7% of data will fall within 3 standard deviations of the mean.
The mean is 500 and the standard deviation is 100. This means that 700 is 2 standard deviations away from the mean:
(700-500)/100=200/100=2.
We know that 95% of data will fall within 2 standard deviations from the mean. However, included in the 95% is data less than the mean and greater than the mean. Since we are only concerned with the scores from 500 to 700, we only want the half that is greater than the mean:
95/2 = 47.5%, or 0.475.
Answer:
-45j -9k
Step-by-step explanation: