Answer:
0.8594
Step-by-step explanation:
Let a denote the event of forgetting to shut off machine and b be the event of being defective.
-A foreman forgets to shut off machine 55% of the time.
-If he forgets, 15% of molds are defective.
-If he does not, 3% of molds are defective.
#The probability that he forgot to shut off the machine is calculated as:

P(a and ~b)=0.55(1-0.15)=0.4675
P(~a and b) = (1-0.55)*0.03=0.0135
P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365
#Conditional probability is defined as:

Hence, the probability that the foreman forgot to shut off the machine the previous night is 0.8594
Answer:
The midpoint of points
is
.
Step-by-step explanation:
Given points are
. We need to find the midpoint of the line segment.
The formula of finding midpoints between the point
is

W have points
. And 
Let us plug the value in Equation (1)


So, the midpoint of points
is
.
Answer:20+10
Step-by-step explanation:It is 20 plus 10 because 6 times 5 is 30 and so is 20 plus 10.