Answer:
1/8, 0.0625
, or 6.25%
Step-by-step explanation:
50% of the cars are painted white.
1/2 * 1/2 = 1/4 * 1/4 = 1/8
Probability of A occuring 4 time(s) = 0.54 = 0.0625
Probability of A NOT occuring = (1 - 0.5)4 = 0.0625
Probability of A occuring = 1 - (1 - 0.5)4 = 0.9375
Using a system of equations, it is found that the unit prices are:
- $2.25 for a bag of chips.
- $1.50 for a liter of pop.
- $1.75 for a chocolate bar.
For the system:
- x is the unit price of a bag of chips.
- y is the unit price of liter of pop.
- z is the unit price for a chocolate bar.
From the table, the equations are:



Replacing the <u>first equation on the second and the third:</u>









Since
:




Then:


The unit prices are:
- $2.25 for a bag of chips.
- $1.50 for a liter of pop.
- $1.75 for a chocolate bar.
A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076
Answer:
The area of the rectangle is increasing at a rate of 84 square centimeters per second.
Step-by-step explanation:
The area for a rectangle is given by the formula:

Where <em>w</em> is the width and <em>l</em> is the length.
We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.
First, differentiate the equation with respect to <em>t</em>, where <em>w</em> and <em>l</em> are both functions of <em>t: </em>
![\displaystyle \frac{dA}{dt}=\frac{d}{dt}\left[w\ell]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BdA%7D%7Bdt%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5Bw%5Cell%5D)
By the Product Rule:

Since we know that dl/dt = 6 and that dw/dt = 5:

We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:

The area of the rectangle is increasing at a rate of 84 square centimeters per second.
It is a.1
(1+5) - 2(4(1)-1) = 0
(6) - 2(3) = 0
6 - 6 = 0
0=0
Think of it as two rectangular prisms next to each other, and find the volume of each one separately.
The big one on the left has a volume of 4 * 12 * 6, or 288.
The smaller one on the right has a volume of 2 * 6 * 6, or 72.
288 + 72 = 360. 360 cubic feet of water are needed.