Answer:
Step-by-step explanation:
given is a system of linear equations in 3 variables as
This can be represented in matrix form as
AX=B Or
So solution set
X would be
|A|=-1(-1)+4(0)+2(-1)=--1
Cofactors of A are
-1 0 -1
-2 -1 -3
0 1 2
So inverse of A is
1 2 0
0 1 -1
1 3 -2
Solution set would be
x=12
y=-3
z=-5
<span>Defective rate can be expected
to keep an eye on a Poisson distribution. Mean is equal to 800(0.02) = 16,
Variance is 16, and so standard deviation is 4.
X = 800(0.04) = 32, Using normal approximation of the Poisson distribution Z1 =
(32-16)/4 = 4.
P(greater than 4%) = P(Z>4) = 1 – 0.999968 = 0.000032, which implies that
having such a defective rate is extremely unlikely.</span>
<span>If the defective rate in the
random sample is 4 percent then it is very likely that the assembly line
produces more than 2% defective rate now.</span>
Answer:
1/5
Step-by-step explanation:
Both Amir and Tamara ate 2/5 each.
2/5 + 2/5 = 4/5
If 4/5 of the candy bar was eaten, 1/5 of the candy bar remains because
5/5 - 4/5 = 1/5
(Remember that 5/5 just equals one whole, representing the whole candy bar)
Divide.
1/3 / 5
Or multiply by the reciprocal of 5:
1/3 * 1/5 = 1/15
Therefore 1/15 cup of flour is used to make 1 dinner roll.
We can set up a proportion:
5/1/3 = x/5 2/3
Multiply 5 2/3 to both sides:
28 1/3 / 1/3 = x
85 = x
So 85 rolls can be made with 5 2/3 cups of flour.
4:3
4 to 3
4/3
I wrote all the three ways