Answer:
45 x 5 = 225 so 225 students altogether on 5 buses
Step-by-step explanation:
have a good day
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area below the solid line
The y-intercept of the solid line is -4
The x-intercept of the solid line is -1
The slope of the solid line is negative
----> inequality B
The solution of the inequality B is the shaded area above the solid line 
The y-intercept of the solid line is 2
The x-intercept of the solid line is -2
The slope of the solid line is positive
The solution of the system of inequalities is the shaded area between the two solids line
see the attached figure
Y/x=k
when y=9, then x= -3
9/-3=-3
⇒ k= -3
Answer: a) 0.2222, b) 0.3292, c) 0.1111
Step-by-step explanation:
Since we have given that
Let the probability of getting head be p.
Since, its head is twice as likely to occur as its tail.

a)If the coin is flipped 3 times, what is the probability of getting exactly 1 head?
So, here, n = 3


Now,

b)If the coin is flipped 5 times, what is the probability of getting exactly 2 tails?
2 tails means 3 heads.
So, it becomes,

c)If the coin is flipped 4 times, what is the probability of getting at least 3 tails?

Hence, a) 0.2222, b) 0.3292, c) 0.1111
Answer:
We use the power rule of exponents to find out that both sides of the equation equal 3^20 (or 3486784401).
Step-by-step explanation:
For this example, we can just use a calculator and find out that both (3^5)^4 and (3^4)^5 are the same value. But how do we know this algebraically?
When dealing with exponents, we must have a good understanding of the properties of exponents before doing any calculations.
For this example, I recognize that the power rule of exponents is being used:

So let's apply this rule to the given equation.
(3^5)^4 = (3^4)^5
3^(5*4) = 3^(4*5)
3^20 = 3^20
Now we know both sides of the equation equal 3^20 (or 3486784401).