Explain the relationship between variance and standard deviation. can either of these measures be negative? explain.

We can define the standard deviation as the square root of the variance.

The unit for standard deviation and mean are same. But the variance is expressed in square units.

The variance cannot be negative, because then, you cannot find the square root of it.

Similarly, under no circumstances, the standard deviation can be negative. The standard deviation formula is calculated by using squares of the numbers, and square of a number cannot be negative.

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

answer:     true

step-by-step explanation: