Answer:
(a) $ 1.60
(b) $ 0.96
Step-by-step explanation:
(a) Cost of printing 2000 posters = Cost of first thousand + cost of second thousand = 1500 + 1200 = 2700
Total cost = 2700 + 500 = 3200
Average Total Cost = Total cost/Number of posters = 3200/2000 = $ 1.60
(b) Cost of printing 10000 posters = Cost of first thousand + cost of second thousand + (800 × Number of additional thousands)
Number of additional thousands = (10000 - 1000 - 1000)/1000 = 8000/1000 = 8
Cost of printing 2000 posters = 1500 + 1200 + (800 × 8) = 2700 + 6400 = 9100
Total cost = 9100 + 500 = 9600
Average Total Cost = Total cost/Number of posters = 9600/10000 = $ 0.96
X = 5
Move the variable then cells to like terms and simplify
Answer:
Step-by-step explanation:
-x - 3y = -1
-3y = x - 1
y = -1/3x + 1/3.....slope here is -1/3 and y int is 1/3
-x - 3y = 2
-3y = x + 2
y = -1/3x - 2/3...slope here is -1/3 and y int is -2/3
these two equations represent parallel lines. Equations that have the same slope and different y intercepts mean the lines are parallel and never cross each others path.
Answer:
the probability of an adult getting a NEG result and truly having tuberculosis is 0.0127
Step-by-step explanation:
S = the adult really has tuberculosis.
S' = complement of S = the adult does not has tuberculosis.
POS = the test gives a positive result
P(S)= 0.05
P(POS | S)=0.746
P(NEG | S')= 0.7653
this is an intersection because the "and" word
P(NEG ∩ S) = P(NEG| S)*P(S)=(1-P(POS | S))*P(S)=(1-0.746)*0.05=0.0127