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:
is A. -16
Step-by-step explanation:
That's a 33% increase.
I calculated this using the formula:

Where n = the new value (16 in your question), o = the old value (12 in your question) and the result is outputted as a percent increase. You can check that this is correct by finding 33% of 12, adding the result to 12, and checking that the result equals your "new" number.
Note that 33% is only an approximation as your question requires a number rounded to the nearest whole.
Answer:
The type of driver
Step-by-step explanation:
The term known as '' response variable'' is use in describing a variable that changes when you alter an examination or a test. Just like its name implies, it is the ''response'' that one gets when the other variable that is the Explanatory Variable are being altered.
In this question, the golfer will have to be changing the type of drivers that she is using in order to be able to know whether these changes in drivers will increase her game performance. Hence, the Explanatory Variable is the type of driver in which the golfer changes which is being use to define the performance of the golfer.