The answer is B) 1/4.
There are 2 outcomes in his tree that have all coins with the same side up: HHH and TTT. There are 8 total outcomes. This makes the probability 2/8 = 1/4.
Here is you're answer:
In order to get you're answer you need to find the common denominator then add.

- Find the common denominator:


- Simplify:
-


Therefore you're answer is option D "13/24."
Hope this helps!
Step-by-step explanation:
that is
sum(2^r) for r=1 to n, plus sum(1/2) for r=1 to n.
and that is
sum(2^r) + n/2 for r=1 to n.
2^r is a geometric sequence with 2 being the common ratio (every new term is created by multiplying the previous term by 2).
and since r is starting at 1, the first term a1 = 2.
the formula for the sum of a finite geometric sequence is
Sn = a1×(1 - r^n) / (1 - r)
with r being the common ratio .
so, in our case
Sn = 2×(1 - 2^n) / (1 - 2)
Sn = (2 - 2^(n+1)) / -1 = 2^(n+1) - 2
and so, in total we get
2^(n+1) - 2 + n/2 = 2^(n+1) + (n - 4)/2
Answer:
see explanation
Step-by-step explanation:
Given the polynomial

The rational zeros are all the possible factors of
dived by all the possible factors of
. Therefore we use the rational rots theorem to find all possible rational zeros.
To find all zeros we use the remainder theorem. Thus, we plug in all the rational zeros to determine which ones evaluate to zero. These are the real zeros. We could also use long division to find the remaining zeros as soon as we got the first zero with the remainder theorem.
Answer:
m = 6
Step-by-step explanation:
4m + 2(8) = 5(8) (Given)
4m + 16 = 40 (Simplify)
4m + 16 - 16 = 40 - 16 (Subtraction Property of Equality)
4m = 24 (Simplify)
(Division Property of Equality)
m = 6 (Simplify)