Frank is 13 and his sister is 5.
Explanation:
Frank’s age: y=x+8
After 3 years, their ages will be y=x+11 and his sisters age, y=x+3.
In 3 years he will be twice as old.
Equation:
x+11=2•(x+3) -> x=5
Frank is now 5+8=13.
The result follows directly from properties of modular arithmetic:
That is,
means we can write for some integer . Then
and taken mod 12, the first term goes away, so
etc
Answer:
so the top two is 4.0
and the bottom two are 4.0
Answer:
0.47 is the probability it rains at least 2 out of any randomly selected 5 days during the given time of year
Step-by-step explanation:
We are given the following information:
We treat training as a success.
P(Rain) = 30% = 0.30
Then the chances of rain on each day follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 5
We have to evaluate:
0.47 is the probability it rains at least 2 out of any randomly selected 5 days during the given time of year
Answer:
(0, -6)
Step-by-step explanation:
You can find an ordered pair by choosing a value for one of the variables and solving the resulting equation for the other variable.
It is often convenient to choose 0 as a value for one of the variables.
For x = 0
0 -y = 6
y = -6 . . . . multiply by -1
One ordered pair is (0, -6).
__
For y = 0
3x -0 = 6
x = 2 . . . . divide by 3
Another ordered pair is (2, 0).