Given:
Line segment XY is located at X(2, 6) and Y(4,8).
The line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4).
To find:
The coordinates of X'
Solution:
If a figure dilated by a scale factor k with a center of dilation (a,b), then the rule of dilation is:
The line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4). So, the rule of dilation is
The coordinate of X are (2,6).
Therefore, the coordinates of X' are (7,8).
Answer:
The probability that the average time 100 random students on campus will spend more than 5 hours on the internet is 0.5
Step-by-step explanation:
We are given that . At Johnson University, the mean time is 5 hrs with a standard deviation of 1.2 hrs.
Mean =
Standard deviation =
We are supposed to find the probability that the average time 100 random students on campus will spend more than 5 hours on the internet i.e. P(X>5)
Z=0
P(X>5)=1-P(X<5)=1-P(Z<0)=1-0.5=0.5
Hence the probability that the average time 100 random students on campus will spend more than 5 hours on the internet is 0.5