Answer:
the square root of 105 lies between 10 and 11
Step-by-step explanation:
Which perfect squares "box" 105 in? 10^2 = 100 and 11^2 = 121.
The square roots of 100 and 121 are 10 and 11.
Thus, the square root of 105 lies between 10 and 11.
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:
brainly.com/question/337693
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Answer:

Step-by-step explanation:
Given
See attachment for dot plot
Required
The center of data
This implies that, we calculate the median
From the attached plot,
--- number of observation
So, the median is:




The median is at the 7th position
At the 7th position, is 13
Hence:

Answer:
84
Step-by-step explanation:
Total students he surveyed: 27
Amount that found it something OTHER than easy: 14 (11 moderate + 3 difficult)
This means that
found it something other than easy
Multiply that by 162 to find the proportion for the larger population:
162 * (14/27), and we get 84.