Answer:
Ratio of x-coordinates:




Ration of y-coordinates:




Step-by-step explanation:
The table is asking for the ratio of x-coordinates for each point (A, B, C and D) for both the image and pre-image. The ratio is the image 'x' or 'y' value ÷ the pre-image 'x' or 'y' value. Each ratio should be expressed in simplest form and should show the same pattern of dilation, or same scale factor. In this case, the second figure is 1/2 the size of the original figure.
Answer:
If the committee must consist at least one student, the probability is 99.96%
Step-by-step explanation:
Given;
number of teachers = 5
number of students = 20
Total number of committee members = 25
Possible outcome of all the members in the 4 committee = 25C₄ ways
= 12650
If the committee must consist at least one student, then the possible outcome;
= Total possible outcome - committee with no student
= 25C₄ ways - 5C₄ ways (all committee members are teachers)
= 12650 - 5
= 12645
The probability that the committee will consist at least one student;
= 12645 / 12650
= 0.9996
= 99.96%
Therefore, if the committee must consist at least one student, the probability is 99.96%
C(r)
so for C(5) r=5
6.28 x 5 = 31.4 is the answer