Answer:
C(x) = 5700 + 500x
Step-by-step explanation:
Total cost = fixed cost + variable cost
Fixed cost are cost that do not change in the process of production such as machineries, furnitures & fittings.
Variable cost are cost that changes with production such as cost of raw material, cost of labor.
From the question:
Fixed cost= $5,700
Cost per unit of computer = $500
If x number of computers are produced in a month
Variable cost = 500x
Total cost = fixed cost + variable cost
C(x) = 5700 + 500x
Where,
C(x) = total cost
5700= fixed cost
500x= variable cost
Answer:
Now we can calculate the degrees of freedom for the statistic given by:
And we can calculate the p value given by:
Since the p value is very low we have enough evidence to reject the null hypothesis and we can conclude that the players' birthdates are not uniformly distributed throughout the year
Step-by-step explanation:
We need to conduct a chi square test in order to check the following hypothesis:
H0: There is no difference of birthdates distributed throughout the year
H1: There is a difference between birthdates distributed throughout the year
The level of significance assumed for this case is
The statistic to check the hypothesis is given by:
The table given represent the observed values, we just need to calculate the expected values with the following formula
And replacing we got:
And now we can calculate the statistic:
Now we can calculate the degrees of freedom for the statistic given by:
And we can calculate the p value given by:
Since the p value is very low we have enough evidence to reject the null hypothesis and we can conclude that the players' birthdates are not uniformly distributed throughout the year
Answer:
A. Standard form: 
B. General form: 
Step-by-step explanation:
We have been given that center of a circle is at point (8,9) and radius of our circle is 10 units. We are asked to write the equation of our circle.
A. Since we know that the equation of a circle in standard form is:
, where,
(x,y) = Any point on circle,
(h,k) = Center of the circle,
r = Radius of the circle.
Upon substituting our given values in standard form of circle's equation we will get,


Therefore, the equation of our given circle in standard form will be
.
B. Since we know that equation of a circle in general form is:
, where, A, B and C are constants.
Upon expanding our standard form of equation we will get,





Therefore, the equation of our given circle in general form will be
.
X=-9
Give specific name to solve it
which of these story problems describes the sum 19 + (-12)? check all that apply. show your work to justify your answer.
1
2. is the right answer
3