Answer:
So, the probability is P=0.0135.
Step-by-step explanation:
We know that at a certain airport, 65% of the flights arrive on time.
We get that p=0.65 and q=1-0.65=0.35.
We have 10 flights, so n=10.
We calculate the probability that all 10 of the flights were on time, so k=10.
We use the formulu:
we get:
So, the probability is P=0.0135.
The solution of the system of equations means that following:
1- In case we are dealing with system of equations, the solution would be the point of intersection of the two graphs
2- In case we're dealing with only one equation, the solution would be the points of intersection of the graph with the x-axis
Graph (a):
The graph is for a system of equations (two lines). Therefore, the solution would be the point of intersection of the two lines.
From the graph, we can note that there is only one point of intersection between the two lines (-3,-1). Therefore, the system of equations has only one solution
Graph (b):
The graph is for a system of equations (two lines). Therefore, the solution would be the point of intersection of the two lines.
From the graph, we can note that the two lines are parallel. This means that they will never intersect. Therefore, the system of equations has no solutions
Graph (c):
The graph is for a single line. Therefore, the solution(s) would be the point(s) that make the overall equation equal to zero, i.e. point(s) of intersection with the x-axis.
From the graph, we can note that the line intersects with the x-axis only once at point (2,0). This means that the line has only one solution.
Hope this helps :)
Step-by-step explanation:
4(x - 7) + 8
= (4)(x) + (4)(-7) + 8
= 4x - 28 + 8. (D)
5. the numbers are being multiplied by 4 each time, so the geometric sequence would be
an= 1/2(4) ^(n-1)
6. the numbers are being multiplied by 1/4 each time, so the geometric sequence would be
an= 32(1/4)^(n-1)
an in the formula is what ever term in the sequence.
32 or 1/2 is the a which is the first term in the sequence.
4 or 1/4 is the r in the sequence because it is the common ratio so what the equation was multiplied by to get the next term.
(n-1) is because when you are using this equation to solve for whatever term (an) you must subtract the first number in the sequence to get an accurate number
an you can input whatever number when trying to solve.
