So,
Since this is independent probability, the probability of the event above occurring is:

First, the probability of landing on heads.

Now, the probability of rolling an even number.
<u />

Plug it into the equation.

The correct option is C.
9514 1404 393
Answer:
sum = ∑[n=1,5] 4^(n-4)
Step-by-step explanation:
First of all, you need to be able to describe the n-th term.
Here, we have ...
term #: 1, 2, 3, 4, 5
value: 4^-3, 4^-2, 4^-1, 4^0, 4^1
That is, the exponent of 4 is 4 less than the term number. So, the n-th term is 4^(n-4). The sum of the 5 terms shown is then ...

remember that
![x^{\frac{a}{b}}=\sqrt[b]{x^a}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%3D%5Csqrt%5Bb%5D%7Bx%5Ea%7D)
also 
and 
so

first one, that one is clearly not equal since 0.25≠4
2nd one, 0.25=1/4, so
, which matches
3rd one,
, which matches
4th one
which matches
answer is 
A horizontal translation is expressed by transforming

If
is positive, the function is translated to the left. If
is negative, the function is translated to the right.
So, a 3-units left shift is given by
. So you have

Answer:
Step-by-step explanation:
This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.
The form that the parabola is currently in is
so that means that
. We can use that to solve for p in the formula
so
which simplifies to
which gives us that
p = 2. Now to find the directrix:
y = k - p becomes
y = 0 - 2 so
y = -2, choice A.