Answer:
The price where the manufacture sells the maximum number of toys is $20
Step-by-step explanation:
The given equation for that represents the number of toys the manufacturer can sell is given as follows;
T = -4·p² + 160·p - 305
Where;
p = The price of the toys in dollars
At the point where the manufacture sells the maxim number of toys on the graph of the equation T = -4·p² + 160·p - 305, which is the top of the graph, the slope = 0
Therefore, at the maximum point;
The slope = 0 = dT/dp = d(-4·p² + 160·p - 305)/dp = -8·p + 160
∴ -8·p + 160 = 0
160 = 8·p
8·p = 160
p = 160/8 = 20
The price where the manufacture sells the maximum number of toys is = p = 20 dollars
The answer is −3.555555555555556 but you can just put -3.55
AB = sqrt(10^2 - 4^2) = sqrt(100 - 16) = sqrt(84) = sqrt(4 x 21) = 2sqrt(21) = 2 radical 21.
P(TeamA) = 0,43
P(Female) = 0,52
P(TeamA and Female) = 0,19
P(TeamA or Female) = ?
P(TeamA or Female) = P(TeamA) + P(Female) - P(TeamA and Female) <=>
P(TeamA or Female) = 0,43 + 0,52 - 0,19 <=>
P(TeamA or Female) = 0,76 or 76%
