40:60
or 4:6
your answer will be 2 sports game to 3 games
Answer:
28, 56
56
Step-by-step explanation:
a
To solve this, we use the combination rule.
nCk = n!/k!(n-k)! where
n is the number of options (8) k is the number of slots (2).
Assuming the order doesn't matter, then
8C2 = 8! / 2!(8-2)!
8C2 = 8! / 2! 6!
8C2 = 40320 / 2 * 720
8C2 = 40320 / 1440
8C2 = 28
If the order does matter, then we use permutation instead.
nPk = n!/(n-k!) where n = 8 and k =2 8P2 = 8! / 6!
8P2 = 40320 / 720
8P2 = 56
b
We are told that there exist 8 ways to choose a president and a vice president. This means that, after choosing a president from 8 people, there remains 7 people to choose his vice from. Thus, the number of ways to choose a president and his vice are 8 * 7 = 56
You're correct with the answer you have selected. It's 7.2 x 10^7
Answer:
<u>Answer</u><u> </u><u>is</u><u> </u><u>1</u><u>/</u><u>6</u>
Step-by-step explanation:

Here, as the tangents are given above in variable length with radius of the circle as r = 4.4 cm, we get as
since the sides opposite to the equal angles are always equal we get as,
x-2 = 2x-10
===> -2 +10 = 2x-x
==> 8 = x
hence the measurement of the Tangents is,
putting x = 8
2(8)-10 ==> 16-10 ==> 6 cm
length of each tangent is 6 cm.