Answer:
15
Step-by-step explanation:
To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula





In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.
Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

In the equation for surface area the radius is squared ( r^2)
If the radius is doubled, the radius would be 2^2 more which equals 4
The surface area would be 4 times the old surface area.
Answer:
Probability of no black bead is adjacent to the yellow bead is = 0.966
Step-by-step explanation:
First to arrange all the beads without restrictions = 6! = 720
Probability the black bead is adjacent to Yellow bead = 4!/6! = 24 /720
= 0.0333
Probability of no black bead is adjacent to the yellow bead is
= 1- Probability the black bead is adjacent to Yellow bead
= 1-0.033
= 0.966
Answer:
first 25%
Step-by-step explanation:
A quartile is a quarter, so the first 25% falls between the minimum and lower quartile
Answer:
Step-by-step explanation:
Let the width be w centimeters.
Then the length = w + 7.
The area A is found from the length multiplied by the width.
330 = w(w + 7) = w^2 + 7w.
Now we can rearrange this equation to form a quadratic, as follows:
The factorization of the quadratic is:
(w + 22)(w - 15) = 0
Therefore we find that:
width = 15 centimeters
length = 22 centimeters