Answer:
$34.5
$5,951.5
Step-by-step explanation:
P(x)=27+x
Quantity (x)=210-5x
Income(y)=price×quantity
=(27+x)(210-5x)
=5670-135x+210-5x^2
y= -5x^2+75x+5670
dy/dx= -10x+75=0
-10x=-75
x=-75/-10
=7.5
x=7.5
Maximum income=27+x
=27+7.5
=$34.5
Total income=(27+x)(210-5x)
=(27+7.5){210-5(7.5)}
=(34.5)(210-37.5)
=(34.5)(172.5)
=$5,951.25
Answer:
It's one half.
Step-by-step explanation:
There are six sides on a dice, three of those sides (this is half) have negative numbers. Therefore the probability is 1/2 or 0.5 or a half.
Answer:
The number of children are 4 out of which 3 are girls
Step-by-step explanation:
Data provided in the question:
P(Two randomly selected children are girls) = 
now,
let the number of children be 'n'
the number of girls be 'x'
thus,
P(Two randomly selected children are girls) =
= 
also,
= 
thus,
= 
or
=
or
2x(x-1) = n(n-1)
now
for x = 3 and n = 4
i.e
2(3)(3-1) = 4(4-1)
12 = 12
hence, the relation is justified
therefore,
The number of children are 4 out of which 3 are girls
Answer:
9.9
Step-by-step explanation: