Profit (P) is calculated by subtracting the total cost (C) from the total revenue (R). The calculations are shown below,
R = (1440 dozens) x (12 pieces / 1 dozen) x (25 cents/ piece) = $4320
C = (1440 dozens) x ($2.50 / dozen) = $3600
Profit = R - C = $4320 - $3600 = $720
Thus, the businessman's profit is $720.
Answer: Null hypothesis : 
Alternative hypothesis : 
Step-by-step explanation:
Let
be the proportion of women using supplements and
be the proportion of women who did not to have died during that period .
Then the set of hypothesis for testing if the proportion of women elderly women who use dietary supplements is different than those who do not will be :-
Null hypothesis :
[∵ it takes equality sign]
Alternative hypothesis :
[∵ it takes ≠ sign to show difference]
Answer:
5
Step-by-step explanation:
First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:
y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²
This is a vertical parabola and its focus <span>(h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).
Or (-0.071,-1.977).</span>
Adjacent AnglesTwo angles areAdjacent if they have a common side and a common vertex. ... VerticalAnglesVertical Angles are the anglesopposite each other when two lines cross.They are called "Vertical" because they share the same Vertex.Vertical Angles are Congruent/equivalent