Answer:

Step-by-step explanation:
The formula of conditional probability is:

And if we called N(U) the total number of possible outcomes, then remember by definition of probability:

Then plugging them into the formula of conditional probability we get:

Then we simplify and we get:

We just plug the given info and we get:

They ate 4 1/5 ounces of candy.
Answer:
x= -40
Step-by-step explanation:
Cost
C(x)=1,600+20x
P(x)=100-x
Revenue=x*p(x)
=x*(100-x)
=100x-x^2
Cost=Revenue
1600+20x=100x-x^2
1600+20x-100x+x^2=0
1600-80x+x^2=0
Solve using quadratic formula
Formula where
a = 1, b = 80, and c = 1600
x=−b±√b2−4ac/2a
x=−80±√80^2−4(1)(1600) / 2(1)
x=−80±√6400−6400 / 2
x=−80±√0 / 2
The discriminant b^2−4ac=0
so, there is one real root.
x= −80/2
x= -40
Answer:
2,000
Step-by-step explanation:
The computation of the price that should be sold for making 25% profit is shown below:
Let cost price be x
Now the equation would be
(1,920 - x) ÷ x × 100 = (x - 1,280) ÷ x × 100
1,920 - x = x - 1,280
2x = 3,200
x = 1,600
Now the sale price would be
= 1,600 × 1.25
= 2,000
The solution to this equation is in the picture i’ve put below!