Selection D is the equivalent form of the given expression.
_____
The nominal annual interest rate in this problem is 40%. If it were compounded half-yearly, the formula would be x(1.2)^(2t) or x(1.44)^t. Apparently, this problem is more concerned with the equivalent form of the expression than it is with half-yearly compounding.
Formula for the volume of a cylinder is pi radius squared times height so this one would be pi times 25 times 4 which approximately equals 314
Answer: 0.3399
Step-by-step explanation:
The binomial probability distribution formula to find the probability of getting success in x trial:-
, where n is the number of trials and p is the probability of getting success in each trial.
Given : Jorgensens received a shipment of 12 DVD Players. Shortly after arrival the manufacturer called to say that that he had accidentally shipped five defective units with the shipment.
i.e. The proportion of the defective units : 
Also, Mr. Jorgensen pulled ten of the units and tested two of them.
For n=2, the probability that neither of them was defective:-
![P(x=0)=^{2}C_0(0.417)^0(1-0.417)^{2}\\\\=(1)(1)(0.583)^{2}\ \ \ [\text{ Since}^nC_0=1]\\\\=0.339889\approx0.3399](https://tex.z-dn.net/?f=P%28x%3D0%29%3D%5E%7B2%7DC_0%280.417%29%5E0%281-0.417%29%5E%7B2%7D%5C%5C%5C%5C%3D%281%29%281%29%280.583%29%5E%7B2%7D%5C%20%5C%20%5C%20%5B%5Ctext%7B%20Since%7D%5EnC_0%3D1%5D%5C%5C%5C%5C%3D0.339889%5Capprox0.3399)
Hence, the probability that neither of them was defective = 0.3399