Answer:
1 / 16
Step-by-step explanation:
Number of options = 4
Number of correct answers = 1
Number points gained for a correct answer = 1
Number of points lost for an incorrect answer = 1/4 = 0.25
Probability of choosing a correct option = 1/4
Probability of choosing an incorrect option = 3/4
x ____ 1 ______ - 1/4
P(x) __ 1/4 ______ 3/4
Expected gain or loss :
E(x) = Σx*p(x)
E(x) = (1 * 1/4) + (-1/4 * 3/4)
E(x) = 1/4 - 3/16
E(x) = (4 - 3) / 16
E(x) = 1 /16
A gain of 1/16
Yes it is, the two lines intersect that point.
Answer:
x= +i and x = -i
Step-by-step explanation:
First we use the property of a sum of logarithms (the sum of two logarithms is equal to multiplying them) and we have that
log (x) + log (-x) = 0
log((x)(-x)) = 0
log (-x²) = 0
we can write this as an exponential equation. ( When you have a single logarithm on one side of the equation then you can express it as an exponential equation and solve)
-x²= 10⁰
-x²= 1
x²= -1
x= ±i
Therefore the solutions are x= +i and x = -i
That’s a lot of work to do but you probably got it by now .