So, to evaluate a combination, there's a formula we use.
I don't remember the formula from the top of my head, lol, but this is how you solve them.
7 c 2
When doing combinations and permutations each number is always in a factorial. We always start with the number on the left.
7! That's the total amount. The number on the left divides into that.
7! / 2!
We're not done yet. Here's the tricky part. We also always divide the number on the left, in this case 7!, with the positive difference of both numbers given to us.
7 - 2 = 5
So, we have 7! / 5! / 2! = 21.
Hope that helped!
Let's work another one.
5 c 3
We have 5! / 3! ,but we need to also divide 5! by the positive difference of 5 and 3. We get 2.
So, 5! / 3! / 2! = 10.
If you have any questions then leave a comment. Good luck!
Answer: G. 33.3%
Step-by-step explanation:
From 1 to 12, there are four numbers divisible by 3: 3, 6, 9, 12. Since there are 12 numbers in total, that means you have a 4/12 chance of picking a number divisible by 3, which when converted to decimal from 1/3 is 33.3%
Your formula would be 3(p+0.75)=5.88
Because you have 3 pounds and 0.75 for each.
Solving the equation by distributing, you will get P=1.21
Hope this helps!
9514 1404 393
Answer:
-8
Step-by-step explanation:
If α and β are roots of x^2 +5x +a = 0, then we must have ...
(x -α)(x -β) = x^2 +5x +a
x^2 -(α+b)x +αβ = x^2 +5x +a
Then ...
α + β = -5
Together with the other relation between the roots, we have a system of equations in α and β.
Using the above to write an expression for β, we get ...
β = -α -5
Substituting this into the given relation, we have an equation for α:
2α +5(-α -5) = -1
-3α -25 = -1 . . . . . . eliminate parentheses
-24 = 3α . . . . . . . . add 3α +1
-8 = α
The root α is equal to -8.
Answer:
17
Step-by-step explanation:
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