Answer: 4/7
Find the greatest common factor between 8 and 14, which is 2. Then divide both numbers by 2 and u get 4 and 7. Thus 8/14=4/7
To answer this question you must know that there is a theorem called the "Two secants angle theorem", which establishes that the measure of an angle formed when two secants intersecting outside the circle is equal to 1/2 the difference of the two intercepted arcs.
Therefore, as you can see, the correct answer is the option B): B)<span>1/2 the difference of the intercepted arcs</span>
The expected value is $0.11.
The probability that the player will make the next free throw is 233/402. The probability that the next 3 are made will be (233/402)^3. To find the expected value of this, we multiply by the winnings we would have in this case, 166. So far we have:
((233/402)^3)(166)
The probability that the next 3 are not made is 1-((233/402)^3). Multiply this by the loss, -40, to get its expected value. This gets us to:
((233/402)^3)(166)-(1-((233/402)^3)).
This comes out to $0.11.