An airline asked its agents to assign convenience ratings on a scale of 1-7 to 114 flights leaving one of its hub cities. The hi
stogram below the distribution of the ratings of the 114 flights. What is the median rating assigned by the agents?
2 answers:
Answer:
17
Step-by-step explanation:
The median value of any given set of data is the middle value occupied by any numbers when the data set is arranged in either lowest to highest or vice versa order.
The given data set consists of following numbers
8, 11, 19, 17, 23, 25, 11
So total there are 7 numbers
On arranging the numbers in increasing order, the following series is obtained
8, 11, 11, 17, 19, 23, 25
So the median value will lie at
position
hence, the median value is 17
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Answer:
Yes, the relation is a function.
Step-by-step explanation:
Given:
The equation that represents the cost of riding a cab is given as:
Where, 'x' is the number of miles traveled and 'y' is the the total cost of the trip.
The above equation represents a line as it is of the form which represents a line with constant slope.
Now, in order to plot this equation, we need at least two points.
Now, let , then
. So, (0, 3) is a point on the line.
Let , then
. So, (1, 3.75) is a point on the line.
Plot these two points on a graph and draw a line passing through these two points.
Now, for a relation to be a function, it should pass the vertical line test.
According to vertical line test, vertical lines passing through the graph must cut the graph at only 1 point for the graph to represent a function.
Here, we observe that vertical lines passing through the line will intersect the line only at one point. So, it represent a function.
The series is a convergent p-series with p = 3
<h3>How to know it is a divergent or a convergent series</h3>We would know that a series is a convergent p series when we have ∑ 1 np. Then you have to be able to tell if the series is a divergent p series or it is a convergent p series.
The way that you are able to tell this is if the terms of the series do not approach towards 0. Now when the value of p is greater than 1 then you would be able to tell that the series is a convergent series.
The value of
The formular for this is
∑
where n = 1
we know it is convergent because p is greater than 1. 3>1
Read more on convergent series here:
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