Answer:
a: 210 codes are possible.
b: 1/210 is the probability of entering the correct code.
1 1/2 ft is equal to 18 inches so it is greater than 16 inches
We have 125 = 5³ and 1/5 = 0.2. Then
1/125 = (1/5)³ = 0.2³ = 0.008
so that
4 27/125 = 4 + 27 • 0.008
… = 4 + 0.216
… = 4.216
Answer:
This section of the book provides step-by-step solutions to exercises with circled exercise numbers. These solutions provide models that can help.
Step-by-step explanation:
So the equation for the volume of the sphere is
![V= \frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%7B4%7D%7B3%7D%20%20%5Cpi%20r%5E3)
.
For this, you'll need to plug in 128 pi into the volume placeholder and solve for r.
![128 \pi = \frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=128%20%5Cpi%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
Firstly, divide by pi on each side of the equation to cancel out pi. Your equation will look like this:
![128=\frac{4}{3}r^3](https://tex.z-dn.net/?f=128%3D%5Cfrac%7B4%7D%7B3%7Dr%5E3)
Next, you'll want to multiply 3/4 on each side to cancel out 4/3. Your equation will look like this:
![96=r^3](https://tex.z-dn.net/?f=96%3Dr%5E3)
Lastly, you'll want to 3rd root each side of the equation, and your answer should be
![4.58=r](https://tex.z-dn.net/?f=4.58%3Dr)
.
The correct option is B. 4.58