Answer:
Value of the test statistic,
Step-by-step explanation:
Null hypothesis,
Alternative hypothesis,
Sample mean,
Sample size, n = 110
Standard deviation,
Significance level,
The value of the test statistics is given by the formula:
That point of concurrency is called the incenter of the triangle
Answer:
Step-by-step explanation:
we are asked to find the volume of solid that lies within both the cylinder
and
the sphere
Conversion from rectangular to cylindrical is
|J| =r
In cylindrical coordinates the volume is bounded by the cylinder r=5 and
Hence we can write volume as
Given:
The figure of triangle ABC.
The area of the triangle ABC is D.
To find:
The value of m and n in the given expression.
Solution:
Let h be the height of the triangle ABC.
Area of a triangle is:
Where, b is the base and h is the height of the triangle.
The area of the triangle ABC is D.
...(i)
In a right angle triangle,
[Using (i)]
...(ii)
We have,
...(iii)
On comparing (ii) and (iii), we get
Therefore, the required values are .