SOLUTION
From the question given the following statements to prove are correct, then the last part

The reason is Side-side-side triangle theorem
This theorem states that all three sides of a triangle are congruent (identical) to the corresponding sides of another triangle, then the triangles themselves are also congruent.
Hence the answer is Side-side-side triangle theorem
The sample standard deviation is (B) $3.16.
<h3>
What is the sample standard deviation?</h3>
- The sample standard deviation is defined as the root-mean-square of the differences between observations and the sample mean: A significant deviation is defined as two or more standard deviations from the mean.
- The lowercase Greek letter (sigma) for the population standard deviation or the Latin letter s for the sample standard deviation is most commonly used in mathematical texts and equations to represent standard deviation.
- For example, if the sample variance for a frequency distribution of hourly wages is 10 and the sample standard deviation is $3.16.
Therefore, the sample standard deviation is (B) $3.16.
Know more about sample standard deviation here:
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The complete question is given below:
If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standard deviation?
A. $4.67
B. $3.16
C. $1.96
D. $10.00
................2...............
Answer:
No student liked only Nokia
Step-by-step explanation:
The information can be illustrated as shown on the Venn diagram.
The number of students who liked only Nokia is x.
The sum of all regions in the Venn diagram should be 40.
We add all to get:




Therefore no one liked only Nokia