Step-by-step explanation:
-12 = 5x
5x = -12
x = -12/5
x = -2.4
The concepts you have to learn about in here are permutations and computations. They are quite the same, but they only differ in technicalities. Permutations are arrangements where order matters, otherwise, the arrangements are called combinations. For example, if you want to choose 3 winners out of the five contestants, that is a combination problem. But if you want to choose the top 3 winners out of the five contestants, this time, it is a permutation problem because order matters by ranking.
Now, choosing members of the committee is assumed to be random, if not mentioned. So, we apply the equation for combination
n!/r!(n-r)!
where
n is the total number of species per kind
r is the number of species you pick out of the total
So, out of the 12 students, 2 are seniors and 10 are non-seniors. Now, you have to find the number of ways if r is at least 1. So that means r could be 1 or 2. Therefore, the solution would be:
(10C4+ 2C1) + (10C3 + 2C2)
10C4 means 4 committee students out of the 10 non-senior students. Note that the right side numbers after C must equal to 5 because the committee must contain 5 members. The left side numbers before C signify the total pool of species to choose from. Applying the equation
10!/4!(10 - 4)! + 2!/1!(2-1)! + 10!/3!(10-3)! + 2!/2!(2-2)!
= 333
Therefore, there are a total of 333 ways.
Answer:
1
Step-by-step explanation:
Rise over run, for every time the y-value increases by one, the x-value also increases by one; 1/1=1. The slope formula is y2-y1/x2-x1.
Answer:
25 more hours
Step-by-step explanation:
First you need to make an equation
200+12x=500
Then you solve it by:
Subtracting 200 from both sides
12x=300
Then divide both sides by 12
x=25
Then you can check your answer by plugging in the number
200+12x25=500
Hope this helps
Answer:
a = sqrt(c^2 - b^2)
see image.
Step-by-step explanation:
If you square both sides of the equation, you get the Pythagorean Theorem back again.
c = sqrt(a^2 + b^2)
c^2 = a^2 + b^2
Solve for a means to get a all by itself on one side of the equation. Subtract b^2 and then take the square root. See image.