Answer:
Always
Step-by-step explanation:
Coplanar lines are lines that intersect making intersecting lines always coplanar.
Answer:
40
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
note that
= 1 for any value of n, thus
= 1
Answer:
The correct option is D. 2/7
Step-by-step explanation:
Consider the provided information.
There are 8 volunteers including Andrew and Karen, 4 people are to be selected at random to organize a charity event.
We need to determine the probability Andrew will be among the 4 volunteers selected and Karen will not.
We want to select Andrew and 3 others but not Karen in the group.
Thus, the number of ways to select 3 member out of 8-2=6
(We subtract 2 from 8 because Andrew is already selected and we don't want Karen to be selected, so subtract 2 from 8.)
The required probability is:
![\dfrac{^6C_3}{^8C_4}=\dfrac{\frac{6!}{3!3!}}{\frac{8!}{4!4!}}\\\\\\\dfrac{^6C_3}{^8C_4}=\frac{20}{70}\\\\\\\dfrac{^6C_3}{^8C_4}=\dfrac{2}{7}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5E6C_3%7D%7B%5E8C_4%7D%3D%5Cdfrac%7B%5Cfrac%7B6%21%7D%7B3%213%21%7D%7D%7B%5Cfrac%7B8%21%7D%7B4%214%21%7D%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7B%5E6C_3%7D%7B%5E8C_4%7D%3D%5Cfrac%7B20%7D%7B70%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7B%5E6C_3%7D%7B%5E8C_4%7D%3D%5Cdfrac%7B2%7D%7B7%7D)
Hence, the correct option is D. 2/7
Your answer would be 64. There are two sides on a coin. 2^6 would be 64.
Hope this helps.