Answer:
15i+15
Step-by-step explanation:
(6+3i)(3+i)
18+9i+6i+3i^2
18+15i+3(-1)
18+15i-3
15i+15
Answer:
0.37072
Step-by-step explanation:
Let A be the event that step 1 is defective (P(A) = 10%), B the event that step 2 is defective(P(B) = 20%), C the event that step 3 is defective (P(C) = 8%), D the event that step 4 is defective(P(D) = 5%). Let us suppose that the occurance of a failure at any step is indepent of the other steps.
Recall the following properties


And given A, B, C, D independent , then

REcall that if the a set of events A,B,C,D are independent, their complements are also indepent.
Since we are asked for the probability of a defective item, this means that at least one of the steps is defective. Then, we are asked for the following probability:


C is most likely the answer
Answer:
The energy used in 3.5 hours = 5.25 kilowatts
Step-by-step explanation:
Energy used by electric kettle:
kilowatts
Time taken by electric kettle:
Electric kettle's rate in kilowatts per hour can be calculated by dividing the spent energy i.e. 2.25 kilowatts by the time taken i.e. 1.5 hours.
Therefore,
Electric kettle's rate = 2.25 kilowatts / 1.5 hour
= 1.5 kilowatts per hour
Thus, the energy used in 3.5 hours = 1.5 × 3.5
= 5.25 kilowatts
Therefore, the energy used in 3.5 hours = 5.25 kilowatts