7+8+11=26
So the first manufacturer makes 7/26 of all filters
the socond one makes 8/26 of all filters
and the third one makes 11/26 of all filters
A)
Number of plastic filters A:

Number of plastic filters C:

B)
Number of plastic filters B:

85cents = 0,85$ (or €?)
Amount of money B will receive:

C)
The main thing that will change is the number of plastic filters to make:
1950-338=1612
So:
Number of plastic filters A:

Number of plastic filters B:

Number of plastic filters C:
Answer:
C. Events E and A are independent
Step-by-step explanation:
we will verify each options
(a)
We can use independent events formula
P(B∩C)=P(B)*P(C)
we are given
P(B)=0.4
P(C)=0.25
P(B∩C)=0.05
now, we can plug these values into formula
and we get
0.05=0.4*0.25
0.05=0.1
we can see that left side is not equal to right side
so, this is FALSE
(b)
We can use independent events formula
P(D∩A)=P(D)*P(A)
we are given
P(D)=0.25
P(A)=0.6
P(D∩A)=0.1
now, we can plug these values into formula
and we get
0.1=0.25*0.6
0.1=0.15
we can see that left side is not equal to right side
so, this is FALSE
(c)
We can use independent events formula
P(E∩A)=P(E)*P(A)
we are given
P(E)=0.5
P(A)=0.6
P(E∩A)=0.3
now, we can plug these values into formula
and we get
0.3=0.5*0.6
0.3=0.3
we can see that both sides are equal
so, this is TRUE
(d)
We can use independent events formula
P(D∩B)=P(D)*P(B)
we are given
P(D)=0.25
P(B)=0.4
P(D∩A)=0.15
now, we can plug these values into formula
and we get
0.15=0.25*0.4
0.15=0.1
we can see that left side is not equal to right side
so, this is FALSE
He buys 144 bulbs whats the question anyways?
Answer:
<em>The maximum area of the second board must be
square inches.</em>
Step-by-step explanation:
The total area of two different size boards cannot exceed
square inches.
The area of one board is
square inches.
Suppose, the area of the second board is
square inches.
That means......

So, the maximum area of the second board must be
square inches.