Answer:
1/2
Step-by-step explanation:
Assume the coin is a fair coin.
Since we already know that the first 9 tosses were heads, the probability of 9 straight heads in the first 9 tosses is 1.
It all depends on the last toss. There is an equal probability of heads and tails in a single toss of a fair coin.
p(heads) = 1/2
p(10 heads) = 1/2
Answer:
A'(5.5, -4.2), B'(7.5, -9.2), C'(3.5, -3.2)
Step-by-step explanation:
I really do hope I understood you correctly. I figured that the rule would have to be added to each point. If those are wrong, try subtracting the rule.
Again, I'm not trying to take your points and leave you with a wrong answer. I really did give it my best.
Well lets set up an equation 2 problems per second yields

for every second, x.
Now if we want the problems solved, y it will be equal to this product so

Now lets plug in 60 seconds, which is 1 minute

It can solve 120 algebra problems in 1 minute.
Answer:
x=1,
y=1/2
Step-by-step explanation:
4x-8y=0
so 4x=8y
x=2y
5x+2y=6
because x=2y
so:
5x+x=6
6x=6
x=1;
then
x=2y
1=2y
y=1/2
Answer:
Now, the father is 60, and the son is 24.
Step-by-step explanation:
Now:
Father's age = f
Son's age = s
4 years ago:
Father's age = f - 4
Son's age = s - 4
In 12 years:
Father's age = f + 12
Son's age = s + 12
Now:
f = 3(s - 4)
In 12 years:
f + 12 = 2(s + 12)
We have 2 equations that we can solve in a system of equations.
f = 3(s - 4)
f + 12 = 2(s + 12)
f = 3s - 12
f + 12 = 2s + 24
f = 3s - 12
f = 2s + 12
Since above both equations are in terms of f, set the right sides equal and solve for s.
3s - 12 = 2s + 12
s = 24
f = 3(s - 4)
f = 3(24 - 4)
f = 3(20)
f = 60
Now, the father is 60, and the son is 24.