1) This is a combination, so use ⁴⁰C₂.
⁴⁰C₂ = 780
There are 780 handshakes in total.
2) I got my solution by using the combinations formula. Or another way you could do this is to add up... 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31... +1. You will end up with 780 (I did this to double check my work).
3) The quickest way to figure this out if Drake invited 1,000 people is to use the natural numbers formula = n(n+ 1)/2.
Plug the numbers in: 999(1000)/2 = 499,500
If Drake invited 1,000 people, there would be 499,500 handshakes.
You would do (2x+60)+6x=180... when you simplify you get 15.
Answer:
Mean = 910.2
Standard deviation = 12.8
Step-by-step explanation:
82% over the age of 25 are high school graduates.
A survey randomly selected students of certain country included 1110 who were over the age of 25 and 871 of them were high school.
n = 1110
p = 82% = 0.82
q = 1 - 0. 82
q = 0.18
Mean = np
= 1110*0.82
= 910.2
Standard deviation = √npq
= √ 1110*0.82*0.18
=√163.836
= 12.8
Answer:
83
Step-by-step explanation:
f(x) = 7x - 1
Put x as 12.
f(12) = 7(12) - 1
f(12) = 84 - 1
f(12) = 83
