Answer:
3
Step-by-step explanation:
3
Answer:
A) 
B) 
C) for n = 2
= 1
for n = 3
= 3
for n = 4
= 8
for n = 5
= 19
Step-by-step explanation:
A) A recurrence relation for the number of bit strings of length n that contain a pair of consecutive Os can be represented below
if a string (n ) ends with 00 for n-2 positions there are a pair of consecutive Os therefore there will be : 
strings
therefore for n ≥ 2
The recurrence relation for the number of bit strings of length 'n' that contains consecutive Os
b ) The initial conditions
The initial conditions are :
C) The number of bit strings of length seven containing two consecutive 0s
here we apply the re occurrence relation and the initial conditions
for n = 2
= 1
for n = 3
= 3
for n = 4
= 8
for n = 5
= 19
Answer:
Jim had 1/3 of of the pizza
Step-by-step explanation:
He shared a pizza with four friends, each friend had a Piece that was the same size as the other pieces, Jim had TWICE as much pizza as his friends so He had 2 pieces since he has 4 friends and each has 1 piece, so 4 + 2 = 6
2/6 simplify if, 1/3.
Answer:It’s A
Step-by-step explanation: the reason being is look from the origin(0,0) to the blue dot there is a circle of you think about try to imagine that circle crossing the whole place it couldn’t be C or D because that’s less than the imaginary circle and also 150 is close to 180. 180 is fully behind and A is close to 180 than B. Also remember, negative degrees is only clockwise and positive degrees are COUNTER. Hope it helps especially on the exam it also took me a bit to understand but it makes sense now.
Answer: They each will get 9 balloons
Step-by-step explanation: I got my answer by doing 60-24=36 then i divided it between each of the 4 family members with equals 9 per famil member!
