The answer to this is 12.
One third of 12 is 4.
12+4=16
Comment if you have ANY questions!
Hope this helps!
Answer:
Mean = 8
Variance = 7.36
Standard Deviation = 2.7129
Step-by-step explanation:
This is a binomial distribution with parameters, n and p.
Where
n is sample size (given as 100)
p is the probability of success, or probability of defective (given as 8% or 0.08)
The mean, variance, standard deviation formula for binomial distribution is shown below:
Mean = ![np](https://tex.z-dn.net/?f=np)
Variance = ![npq](https://tex.z-dn.net/?f=npq)
Standard Deviation = ![\sqrt{npq}](https://tex.z-dn.net/?f=%5Csqrt%7Bnpq%7D)
Where q would be probability of failure, or "1 - p"
Thus,
n = 100
p = 0.08
q = 1 - 0.08 = 0.92
SO, we have:
Mean = ![np=100*0.08=8](https://tex.z-dn.net/?f=np%3D100%2A0.08%3D8)
Variance = ![npq=100*0.08*0.92 = 7.36](https://tex.z-dn.net/?f=npq%3D100%2A0.08%2A0.92%20%3D%207.36)
Standard Deviation = ![\sqrt{npq}=\sqrt{7.36}=2.7129](https://tex.z-dn.net/?f=%5Csqrt%7Bnpq%7D%3D%5Csqrt%7B7.36%7D%3D2.7129)
Answer:
$18
Step-by-step explanation:
Given:
6.4x - 2.1x = 77.4
Where,
x = cost of sheet metal per square foot
How much does sheet metal cost per square foot?
6.4x - 2.1x = 77.4
4.3x = 77.4
Divide both sides by 4.3
x = 77.4 / 4.3
= 18
x = $18
Sheet metal per square foot cost $18
First find how many units of solution there is:
500* 2% = 500(.02) = 10 units
You need 10 units of solution in 'x' units of a 10% solution.
x*10% = 0.1x = 10 units -----> x = 10/0.1 = 100
100 units are needed
Answer:
4
Step-by-step explanation:
The y-variable can be eliminated by adding 3 times the first equation to the second:
3(2x -y) +(x +3y) = 3(11) +(-5)
7x = 28 . . . . simplify
x = 4 . . . . . . . divide by 7
_____
Using Cramer's Rule, you can also find the x-value. The math is not so different.
x = ((-1)(-5) -(3)(11))/(-1(1) -3(2)) = -28/-7 = 4