Answer:
sqrt(13) =x
Step-by-step explanation:
We have 2 right triangles, one on the right and one on the left
The base is 1/2 of 4 or 2 and the height is 3
We can use the Pythagorean theorem to find the hypotenuse
a^2 + b^2 = c^2
2^2 + 3^2 = x^2
4+9 = x^2
13 = x^2
Take the square root of each side
sqrt(13) =x
To find the solution we will first find the difference between each number and mean, and then substitute the value in the formula of standard deviation.
The standard deviation is 8.4477 and the variance is 71.40.
Given to us
- Test scores of Adimas = (76, 87, 65, 88, 67, 84, 77, 82, 91, 85, 90)
- Mean = 81
<h3>Standard Deviation</h3>
difference between each number and mean,


= 25 + 36 + 256 + 49 + 196 + 9 + 16 + 1 + 100 +16 + 81
= 785


<h3>Variance</h3>
Variance = 
= 71.40
Hence, the standard deviation is 8.4477 and the variance is 71.40.
Learn more about Standard Deviation:
brainly.com/question/12402189
Answer:

Step-by-step explanation:
we are given

Let's assume angle as theta

so, we get

now, we can use unit circle and find theta
and we get

So, solution is

-4j -1 -4j + 6 can be arranged by the commutative property of addition.
-4j - 4j -1 + 6
If we combine like terms we get -8j +5