Answer:
Option B.
Step-by-step explanation:
Given information:
Σ(x − M) = 44
where, M is mean.
Sample size = 12
The computational formula for sample variance is

where, M is sample mean and N is sample size.
Substitute Σ(x − M) = 44 and N=12 in the above formula.



The sample variance is 4.0.
Therefore, the correct option is B.
The most cookies Heidy can make is 36 cookies.
<h3>How to calculate how many cookies can Heidy make?</h3>
To know how many cookies Heidy can make, you have to take into account the following information:
12 cookies need the following ingredients:
- 125g butter
- 200g flour
- 50g sugar
In the case in which Heidy has more ingredients, we must carry out the following operations:
Divide the quantities, in the reference quantity we have:
- 500g of butter ÷ 125g of butter = 4
- 700g flour ÷ 200g flour = 3.5
- 250g of sugar ÷ 50g of sugar = 5
According to the above, we must take into account the lowest value of all because if that ingredient is enough, we can infer that the rest of the ingredients also.
So the number of cookies Heidy can make are:
12 × 3.5 = 42
Learn more about ingredients in: brainly.com/question/26532763
PART A
The equation of the parabola in vertex form is given by the formula,

where

is the vertex of the parabola.
We substitute these values to obtain,

The point, (3,6) lies on the parabola.
It must therefore satisfy its equation.




Hence the equation of the parabola in vertex form is

PART B
To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

This implies that

We expand to obtain,

This will give us,


This equation is now in the form,

where

This is the standard form
Answer:
thanks
Step-by-step explanation:
:)
Answer:Davinki
Step-by-step explanation:made the mona lisa