Answer:
The interval [2.5, 12.5]
Step-by-step explanation:
<em>Tchebysheff’s Theorem states that for any distribution of probabilities if k ≥ 1, at least </em>

of the data will lie within k standard deviations of the mean.
We need then to find a k greater or equal than 1 such that

or the equivalent equation

Finding the value of k

So, applying Tchebysheff’s Theorem, the manager can assure that the number of employees that can be absent in a given day, lies in the interval
[7.5-2*2.5, 7.5+2*2.5] = [2.5, 12.5]
Answer:
Step-by-step explanation:
The given expression is
.
We have to check which of he given options on simplification gives the same given expression.
(A) The expression is:
=
=
which is not equivalent to the given expression, thus this option is incorrect.
(B) The expression is:
=
=
which is not equivalent to the given expression, thus this option is incorrect.
(C) The expression is:
=
=
which is not equivalent to the given expression, thus this option is incorrect.
(D) The expression is:
=
=
which is equivalent to the given expression, thus this option is correct.
(E) The expression is:
=
==
which is equivalent to the given expression, thus this option is correct.
(F) The expression is:
=
which is not equivalent to the given expression, thus this option is incorrect.
It well be B.) they all have a factor of 2
Answer:5 min I think
Step-by-step explanation: 5 min I think
Answer:
Identity is verified.
Step-by-step explanation:
We have to verify the identity 
To prove any identity we always prove one side(either left hand side or right hand side) of the equation equal to the other side.
In this identity we take the left hand side first

(as we know cos(a+b) = cosa×cosb-sina×sinb)


= - sinx ( Right hand side)
Hence identity is proved.