Answer:
the probability that the rack ends up in alphabetical order is 0.0001984
Step-by-step explanation:
Given that:
You own 24 CDs. You want to randomly arrange 7 of them in a CD rack.
Th probability that the rack ends up in alphabetical order can be determined by taking note of the permutations and combinations.
From above; all possible permutations of size 7 we can derive from 24 is
24P7
Similarly,we are meant to estimate all the possible ways a unique set of 7 things can be gotten from a total of 24
i.e
24 C7
∴
The probability = 
= 
=
= 
= 0.0001984
the probability that the rack ends up in alphabetical order is 0.0001984
The first step, I think, because I think that they made a mistake setting up the equation. I believe that the equation should be 3x-1/5(10x+5)=6.
In ratio 3:5
Lets take x1 as 3
Lets take x2 as 5
Lets take y1 as number of boys as y
Lets take y2 as number of girls as 60
x1:x2 :: y1:y2
Product of mean = Product of extremes
x2*y1 = x1 * y2
5*y = 3*60
5y = 180
y = 180/5 = 36
y2= 36
Therefore, the number of boys is 36 boys.
Second question :
The point of 4th vertex is (-2,7)
Answer:
Step-by-step explanation:
i dont see an image
Answer:
=7^(-10) or = 1 / 7^10
Step-by-step explanation:
7^(-7)*7^(-3)
Exponent rule : a^n ⋅ a^m = a^n+m
7^(-7)*7^(-3)
= 7^(-7-3)
=7^(-10)
= 1 / 7^10
