Answer:
The standard deviation will be: 2.1
Step-by-step explanation:
We know that standard deviation is basically the square root of variance.
Using the formula to calculate the standard deviation

As
so the standard deviation can be calculated as:
standard deviation 


Therefore, the standard deviation will be: 2.1
Answer:
There are 30 students in the class
Step-by-step explanation:
we can write a ratio as:
8:10 as 24:x
Writing this as an equation gives:
8
10
=
24
x
We can now solve for
x
while keeping the equation balanced:
10
x
×
8
10
=
10
x
×
24
x
10
x
×
8
10
=
10
x
×
24
x
x
×
8
=
10
×
24
8
x
=
240
8
x
8
=
240
8
8
x
8
=
30
x = 30
Answer: B. same distance
There is the same distance between the point on the preimage to the center of rotation and that of the distance from the corresponding point on the image to the center of rotation. There is change in the distance of the two.
Well, we have 700 novels and we want to choose 3 novels, so we use a combination : 700 c 3 (using the nCr button on a TI calculator) is 56,921,900. So, the answer is 56,921,000! Hope this helps!