Answer:
{0, 1, 4, 34, 123}
Step-by-step explanation:
{0, 1, 4, 34, 123}
Answer:
The sample standard deviation is 393.99
Step-by-step explanation:
The standard deviation of a sample can be calculated using the following formula:
![s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B%20%5D%7B%5Cfrac%7B1%7D%7BN-1%7D%20%5Csum_%7Bi%3D1%7D%5E%7BN%7D%28x_%7Bi%7D-%7B%5Cdisplaystyle%20%5Ctextstyle%20%7B%5Cbar%20%7Bx%7D%7D%7D%29%20%5E%7B2%7D%20%7D)
Where:
Sample standart deviation
Number of observations in the sample
Mean value of the sample
and
simbolizes the addition of the square of the difference between each observation and the mean value of the sample.
Let's start calculating the mean value:




Now, let's calculate the summation:


So, now we can calculate the standart deviation:
![s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B%20%5D%7B%5Cfrac%7B1%7D%7BN-1%7D%20%5Csum_%7Bi%3D1%7D%5E%7BN%7D%28x_%7Bi%7D-%7B%5Cdisplaystyle%20%5Ctextstyle%20%7B%5Cbar%20%7Bx%7D%7D%7D%29%20%5E%7B2%7D%20%7D)
![s=\sqrt[ ]{\frac{1}{15-1}*(2173160)}](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B%20%5D%7B%5Cfrac%7B1%7D%7B15-1%7D%2A%282173160%29%7D)
![s=\sqrt[ ]{\frac{2173160}{14}}](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B%20%5D%7B%5Cfrac%7B2173160%7D%7B14%7D%7D)

The sample standard deviation is 393.99
Given:
The lengths of the sides of a triangle are 6, 11, 16.
To find:
Whether the given triangles is a right angle triangle or not.
Solution:
Pythagoras theorem:

A triangle is a right angle triangle if the sum of squares of two smaller sides is equal to the square of the largest sides.
In the given triangle the length of the largest side is 16.
Square of the largest sides is:

Sum of the squares of the two smaller sides is:


Since
, therefore the given triangle is not a right angle triangle.
7 do multiplication and division before addition and subtraction
Answer:
Initial velocity is zero.
Step-by-step explanation:
According to second equation of motion

where s = distance traveled
t = time taken
a = acceleration
u = initial velocity
here in the question we have
s = 10 m
t = 1 second
a = 20
plugging the known value in order to find the unknown which is u (initial velocity)
[tex]10=u(1)+\frac{1}{2} (20)(1)^2[/tex
10 = u +10
gives u =0
therefore initial velocity is zero.