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:
Step-by-step explanation:
Sum
-2d + 1 + 6d + 4
Solving like terms
4d + 5
Difference
-2d + 1 - 6d - 4
-8d - 3
C=pi(d)
So d=7ft
Then pi(7ft)=21.98
Answer:
16 responses
Step-by-step explanation:
we know that
A geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

where
a_n---->
term of the sequence
r ---> is the common ratio
a ---> the first term of the sequence

substitute

For n=12
substitute
