Answer:
a

b

c

Step-by-step explanation:
Generally the size of the sample sample space is mathematically represented as

Where N is the total number of objects available and r is the number of objects to be selected
So for a, where N = 19 and r = 8



For b Where N = 25 and r = 3



For c Where N = 23 and r = 2



Answer: F-H G-F G-H
Step-by-step explanation:
Note: Consider we need to find the vertices of the triangle A'B'C'
Given:
Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.
Triangle A,B,C with vertices at A(-3, 6), B(2, 9), and C(1, 1).
To find:
The vertices of the triangle A'B'C'.
Solution:
If triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C', then

Using this rule, we get



Therefore, the vertices of A'B'C' are A'(6,3), B'(9,-2) and C'(1,-1).
Answer: the rate of the boat in calm water is 9 mph and the rate of the current is 7 mph
Step-by-step explanation:
Let x represent the rate of the boat in calm water.
Let y represent the rate of the current.
A boat goes 32 miles downstream in two hours. Assuming that it travelled in the direction of the current, its total speed would be
x + y mph
Distance = speed × time
Distance covered downstream is
32 = 2(x + y)
16 = x + y - - - - - - - - - - - -1
The return trip against the current takes sixteen hours.
Its total speed would be x - y mph
Distance = speed × time
Distance covered on return trip is
32 = 16(x - y)
2 = x - y - - - - - - - - - - - -2
Adding equation 1 and equation 2, it becomes
18 = 2x
x = 18/2 = 9 mph
Substituting x = 9 into equation 1, it becomes
16 = 9 + y
y = 16 - 9 = 7 mph