Answer:
(a) 
and 
(b) The sample variance is 
and the sample standard deviation is 
Step-by-step explanation:
(a)
The sum of these 17 sample observations is
and the sum of their squares is
(b)
The sample variance, denoted by 
, is given by
where 
Applying the above formula we get that
The sample standard deviation, denoted by <em>s</em>, is the (positive) square root of the variance:
Applying the above formula we get that
value of x is: 
Step-by-step explanation:
We need to solve the equation f(x)=g(x)
where 
and 
Solving to find f(x)=g(x)
Putting values of f(x) and g(x)
So, value of x is:
The graph will be a straight line x= -2.58 or x = -31/12
Keywords: Composition of Functions
Learn more about Composition of Functions at:
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Answer:
3
Step-by-step explanation:
8-5= 3
11-8= 3
14-11= 3
For any polygon the sum of the exterior angles is 360. Since The polygon is regular divide 360 by 12 to get the exterior angle measure. Interior and exterior angles are supplemental so subtract the exterior angle measure from 180.<span>
</span>
Answer:
2.33
Step-by-step explanation:
imagine a circle. its center is A, and it goes through B, so its radius is AB.
then it is important to know that the sum of all the angles in a triangle is 180 degrees.
one angle (at C) is 90. the angle at B is 25. so, the angle at A is 180 - 90 - 25 = 65 degrees.
more back to our circle.
in this circle the line CB is the sine of the angle at A multiplied by the radius.
and AC is the cosine of the angle at A multiplied by the radius.
we can ignore the orientation + and - of these functions, as we are only interested in the absolute length (and we can mirror the triangle, and all the angles and side lengths still stay the same).
=> CB = sin(A)×AB
AC = cos(A)×AB
=> 5 = sin(65)×AB
=> AB = 5 / sin(65)
=> AC = cos(65)×5/sin(65) = 5 × (cos(65)/sin(65)) =
= 5 × cot(65) = 2.33
