Answer:
D
Step-by-step explanation:
Firstly, since it is a selection question, we shall be using a combination approach.
So here we are trying to select the best answer that describes that 2 out of 10 students are selected.
Let’s consider the scenario below;
selecting r out of n can be resolved using the combination nCr
= n!/(n-r)!r!
Now in this case, our n = 10 and r = 2.
Thus, 10C2, we have ;
10!/(10-2)!2! = 10!/8!2! = (10 * 9 * 8!)/8!2! = (10 *9)/2! = 90/2 = 45
Thus, 10C2 = 45
Here, the order of selection does not matter as we can select in random fashion. This makes option D correct
Answer:
8 - 8 = 0 , 8 * 5 / 4 = 10 , 8 * 4 - 8 = 24
Step-by-step explanation:
8 - 8 = 0
8 * 5 = 40 / 4 = 10
8 * 4 = 32 - 8 = 24
So if 24 people chose popcorn and there is a total of 60 people surveyed, the fraction would be 24/60. You still need to simplify the fraction, so divide 24/60 by 4 to get 6/15. Hope this helps. -S
Answer:
Circumference= 44 in
Area= 154 in²
Step-by-step explanation:
Radius
= diameter ÷2
= 14 ÷2
= 7 in
Circumference of circle
= 44 in
Area of circle
= 154 in²
Answer:
2 + 3i, midpoint is (2,3)
Step-by-step explanation:
we need to find the midpoint between (-1+9i) and B=(5-3i)
To find the midpoint of two points (a+bi) and (c+di) in a complex plane,
we apply formula
A = (-1+9i) and B=(5-3i)
Midpoint for AB is
2 + 3i , so midpoint is (2,3)
