To get the total number of games possible, we will use the combination formula.
Total number of games :

= 45
Total of 45 games in the whole tournament.
Meanwhile, if there would be boy-versus-boy, we will have

The answer is 10.
The fraction for boy-versus-boy game will be
10/45 or 2/9 when simplified.
Answer:
The equation for the cost in dollars of producing computer chips
The equation for the cost in dollars of producing computer chips is C = 0.000015x^2 - 0.03x + 35, where x is the number of chips produce. Find the number of chips that minimizes the cost.
Step-by-step explanation:
Answer:
3:36 PM
Step-by-step explanation:
Let fraction (y) of the people that heard the rumor , the differential equation that is satisfied by the by y is,

Solving the differential equation,
![y(t) = \frac{y_{o}}{[y_{o} + (1 + y_{o})e^{-kt}]}](https://tex.z-dn.net/?f=y%28t%29%20%3D%20%5Cfrac%7By_%7Bo%7D%7D%7B%5By_%7Bo%7D%20%2B%20%281%20%2B%20y_%7Bo%7D%29e%5E%7B-kt%7D%5D%7D)
The total number of inhabitants of the town = 2000
The number of people that heard the rumor = 160
At 8 AM, let t = 0,

= 0.08
By noon, half of the town as heard the rumor.
Then,

Therefore,
![\frac{1}{2} = \frac{0.08}{[0.08 + (1 - 0.08)e^{-4k}]}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B0.08%7D%7B%5B0.08%20%2B%20%281%20-%200.08%29e%5E%7B-4k%7D%5D%7D)
![\frac{0.08}{[0.08 + 0.92e^{-4k}]} = \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B0.08%7D%7B%5B0.08%20%2B%200.92e%5E%7B-4k%7D%5D%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D)




k ≈ 0.06106
Calculating time, t when y(t) = 90%
⇒ y(t) = 0.9
![\frac{0.08}{[0.08 + 0.92e^{-0.06106t}]} =0.9](https://tex.z-dn.net/?f=%5Cfrac%7B0.08%7D%7B%5B0.08%20%2B%200.92e%5E%7B-0.06106t%7D%5D%7D%20%3D0.9)





t = 7.59 hours
⇒ 7 hours 36 minutes
From 8 A.M. plus 7 hours 36 minutes = 3:36 PM
At 3:36 PM will 90% of the population have heard the rumor
Answer:
32.5
Step-by-step explanation:
d
Answer:
$9.14 for 39 oz
Step-by-step explanation:
6.12/24 = 0.255 = 0.26
3.56/14 = 0.254 = 0.25
9.14/39 = 0.234 = 0.24
4.98/18 = 0.276 = 0.28
So,
$9.14 for 39 oz is the best price per ounce