Answer:
i) There are 40320 possible orders
ii) There are 336 possible orders for the first 3 positions.
Step-by-step explanation:
Given: The number of finalists = 8
The number of boys = 3
The number of girls = 5
To find the number of sample point the sample space S for the number of possible orders, we need to find factorial of 8!
The number of possible orders = 8!
= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8
= 40320
ii) From all 8 finalist, we need to choose first 3 position. Here the order is important. So we use permutation.
nPr =
Here n = 8 and r = 3
Plug in n =8 and r = 3 in the above formula, we get
8P3 = 
= 
= 6.7.8
= 336
So there are 336 possible orders for the first 3 positions.
Not sure.................
Answer:
1 console and 8 games because
Step-by-step explanation:
one console cost 280 and each game costs 25 so do 500-280=220 so, u have 220 dollars left basically. 220/25=8.8 so 8 games u can buy and the tax will be $20 because 0.8 * 25 = 20 so theres ur tax and u have to answer my question
Answer:
44(2t-35)
Step-by-step explanation:
First, regroup terms
(2t-35)(45-1)
Then simplify 45-1 to 44
(2t-35)(44)
Now regroup terms again
44(2t-35)
Answer:
The zeros are
Larger 
Smaller 
2)The vertex is (-12.5,-2.25)
Step-by-step explanation:
The given function is:
This function is already in the factored form therefore it is easy to find the zeros,
Either 
or 
The zeros are or
b) The expanded form of the given function is:
We obtain the vertex form by completing the square:
The vertex form is:
Therefore the vertex is (-12.5,-2.25)
