Answer:
16
Step-by-step explanation:
The mean of a group of values is calculated as
mean =
Given 5 numbers with a mean of 12, then
= 12 ( multiply both sides by 5 )
sum = 60
let the number removed be x , then
= 11 ( multiply both sides by 4 )
60 - x = 44 ( subtract 60 from both sides )
- x = - 16 ( multiply both sides by - 1 )
x = 16
The number removed was 16
In the elimination method, one variable is eliminated from the system of equations to find the value of the other.
To create the opposite terms of the x-variable-
To solve the system of equations and find the value of the variables, the elimination method is used.
In this method, one variable is eliminated from the system of equations to find the value of the other.
Given information-
The system of the equation given in the problem is,
The second equation given in the problem is;
To eliminate the x term, make the coefficient of x of both equations equal.
It can be done by multiplying the coefficient of x term of the first equation to the second equation and the coefficient of x term of the second equation to the first equation.
The first equation is multiplied by;
The second equation is multiplied by;
Hence, to create the opposite terms of the x-variable-
The first equation is multiplied by the number 4.
The second equation is multiplied by the number -6.
Learn more about the elimination method here;
Theoretically, the number of the vertex comes at the top must be equal for infinitely many numbers of trials, but it's a tedious job to roll the dice for a large number of times. Rolling the tetrahedron only 10 times will not predict the correct result.
Han suspects that this tetrahedron is weighted in some way to make 1 appear more often than the other numbers.
So, check his suspect experimentally with the help of the concept of center of mass. A fair tetrahedron must have the center of mass at the center of the body.
The given tetrahedron has 4 equilateral triangular faces, so at first, measure all the sides of triangular faces and make sure that all are having the same length.
Then, conduct an experiment to check the location of the center of mass.
Hang the tetrahedron by attaching a thin string at the vertex 1 as shown in the figure and observe the base surface ( triangle 234) whether it is parallel to the ground or not.
Now, repeat the same by hanging it with vertices 2, 3, and 4 and observe the base surface.
For the center of mass to be located at the center of the tetrahedron, the base must be parallel to the ground (flat ground).i.e the hanging string must be perpendicular to the base for all the four cases.
If this is so, then the tetrahedron is a fair tetrahedron otherwise not.
