Answer:
C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.
Step-by-step explanation:
The center of insribed circle into the triangle is the point where the angle bisectors of the triangle meet.
The center of circumsribed circle over the triangle is the point where the perpendicular bisectors of the sides meet.
Line segments ZE, FY and GX are both angle bisectors and perpendicular bisectors of the sides, so the point of intersection of line segments ZE, FY and GX is the center of inscribed circle into the triangle and the center of the circumscribed circle over the triangle. Inscribed circle passes through the points X, Y and Z. Circumscribed circle passes through the points E, F and G. So, point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.
Answer: the answer is C
Step-by-step explanation:
Answer:
Step-by-step explanation:
For this case we have the following info given:
Weight before diet 180 125 240 150
Weight after diet 170 130 215 152
We define the random variable 
and we can calculate the inidividual values:
D: 10, -5, 25, -2
And we can calculate the mean with this formula:
And the deviation with:
And after replace we got:
And the confidence interval for this case would be given by:
The degrees of freedom are given by:
For the 95% of confidence the value for the significance is 
and the critical value would be 
. And replacing we got:
Answer:
The correct option is <u>c) $17.50/case</u>.
Step-by-step explanation:
Note: The data in the question are merged. The data are therefore sorted and the whole question is represented before answering the question. Please, see the attached pdf file for the sorted data and the represented question.
The explanation of the answer is now given as follows:
Marginal cost refers to the cost incurred in order to produce one more unit of a product.
Therefore, marginal cost is the change in the total cost that is caused by a one-unit increase in the quantity of a commodity that is produced.
From the table in the question, the marginal cost at q = 108 can be calculated as follows:
Change in total quantity at 180 cases = 108 - Number of cases immediately before 108 = 180 - 104 = 4
Change in total cost at 180 cases = Total cost at 108 cases - Total cost immediately before 108 cases = 1990 - 1920 = 70
Marginal cost at 108 cases = Change in total cost at 180 cases / Change in total quantity at 180 cases = 70 / 4 = 17.50 per case
Therefore, the correct option is <u>c) $17.50/case</u>.
298* falls in quadrant 4 is 0* is the positive x-axis. In quadrant 4, cos is positive. Therefore, we simply need to calculate the acute angle,x, that correlates to 298*.
360 = 298 + x
62 = x
Therefore, we have :
cos(298*) = cos(62)
In case you need to know :
sin(298*) = - sin (62)
tan(298*) = - tan (62)
Since both sin and tan are negative in the fourth quadrant.
