Answer:
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 38 minutes, standard deviation of 4.5 minutes.
Determine the interval that represents the middle 68% of her commute times.
Within 1 standard deviation of the mean. So
38 - 4.5 = 33.5 minutes
38 + 4.5 = 42.5 minutes.
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Answer: 9 students
Step-by-step explanation:
10 X 3 = 30
3 X 3 = 9 students
Answer: (–9, 9)
Step-by-step explanation:
if the original point (x,y) gets dilated by a scale factor 'k' with a center of dilation at the origin, then
The coordinates of the image point are (kx, ky).
Given: The coordinates of line segment A B are A(-6,8) and B(-3,3).
then , the coordinates of B after dilation by scale factor of 3 with a center of dilation at the origin,

Hence, the coordinates of the image of point B, after the segment has been dilated by a scale factor of 3 with a center of dilation at the origin = (–9, 9).
Um i can do these in my calculator if u want